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Math | Which of the following statements are true of the graph of $f$ below?www.apstudy.net
I. $f' \geq 0$ on the interval from D to F
II. $f'' = 0$ at points B, D, and F
III. $f'' > 0$ on the interval from A to B
IV. $f'' > 0$ on the interval from D to F
| 0 | [
"I and II",
"I and III",
"II and IV",
"II, III, and IV"
] | |||||||||
Math | Given the table below, find the slope of the tangent line of $\frac{f(x)}{g(x)}$ at the point $x = 2$.
| 2 | [
"$\\frac{5}{7}$",
"$\\frac{19}{9}$",
"$-\\frac{55}{9}$",
"Undefined"
] | |||||||||
Math | Find the area of the region bounded by the graphs of $f(x) = x^3$ and $g(x) = 3x^2 - 2x$ shown below.The graph of the acceleration function of a moving particle is shown below. On what intervals in $[0, 20]$ does the particle have a positive change in velocity, and what is the change in velocity of the particle over th... | 0 | [
"$[5, 15]$ and $-\\frac{25}{2}$ m/s",
"$[5, 15]$ and $\\frac{25}{2}$ m/s",
"$[0, 10]$ and $1$ m/s",
"$[0, 10]$ and $\\frac{125}{2}$ m/s"
] | |||||||||
Math | The graph of the acceleration function of a moving particle is shown below. On what intervals in $[0, 20]$ does the particle have a positive change in velocity, and what is the change in velocity of the particle over the entire interval $[0, 20]$?
| 0 | [
"$[5, 15]$ and $-\\frac{25}{2} \\text{ m/s}$",
"$[5, 15]$ and $\\frac{25}{2} \\text{ m/s}$",
"$[0, 10]$ and $1 \\text{ m/s}$",
"$[0, 10]$ and $\\frac{125}{2} \\text{ m/s}$"
] | |||||||||
Math | A particle is moving along a straight line, and its acceleration is shown below. Assuming the particle started at rest, calculate the speed of the particle after 3 s.
| 4 | [
"$-3$ m/s",
"$\\frac{3}{2}$ m/s",
"$0$ m/s",
"$3$ m/s"
] | |||||||||
Math | The graph of the function f is shown above. For how many values of x in the open interval (-3, 6) is f discontinuous?
| 1 | [
"two",
"three",
"four",
"five"
] | |||||||||
Math | Let g be defined as shown above. If g is continuous for all real numbers, what is the value of k ?
| 0 | [
"-6",
"-10",
"0",
"4"
] | |||||||||
Math | Part of the graph of f on the closed interval [-5, 5] is shown above. If f is discontinuous for only one value of x in the open interval (-5, 5), then what must f(1) equal?
| 0 | [
"-4",
"4",
"f(1) can take on any value.",
"f(1) cannot be determined."
] | |||||||||
Math | 1 | [
"0",
"10",
"25",
"nonexistent"
] | ||||||||||
Math | The graph of f(x) is given above. Which of the following statements is true about f"(x) ?
| 3 | [
"f\"(x) > 0 for all values of x",
"f\"(x) < 0 for all values of x",
"f\"(x) < 0 for -2 < x < -1 and f\"(x) > 0 for -1 < x < 1 and x > 2",
"f\"(x) > 0 for -2 < x < 0 and x > 2, and f\"(x) < 0 for 0 < x < 2"
] | |||||||||
Math | Consider the graph of f(x) shown above. Which of the following statements is true about f ?
| 0 | [
"f\"(x) > 0 for 1 < x < 2",
"f\"(x) < 0 for 1 < x < 2",
"f'(x) > 0 for 0 < x < 1 and 2 < x < 3",
"f'(x) < 0 for 0 < x < 1 and 2 < x < 3"
] | |||||||||
Math | The graph of a piecewise-defined function f is shown above. The graph has a vertical tangent at x = 3 and horizontal tangent lines at x = 1.5 and x = 4.5. What are all values of x, for -4 < x < 6, at which f is continuous but not differentiable?
| 1 | [
"x = 0",
"x = -2 and x = 3",
"x = 1.5 and x = 4.5",
"x = -2, x = 0, and x = 3"
] | |||||||||
Math | The graph of a function g is shown above. At which of the following points is g'(x) positive and decreasing?
| 0 | [
"a",
"b",
"c",
"d"
] | |||||||||
Math | The graph of y = f(x) is shown above. For which of the following values of x is f'(x) negative and increasing?
| 3 | [
"a",
"b",
"c",
"d"
] | |||||||||
Math | The graph of the derivative of f, fâ², is shown above. If f(0) = 7, what is f(6) ?
| 3 | [
"9",
"12",
"14",
"15"
] | |||||||||
Math | The acceleration of an airplane from the moment of liftoff (t = 0) to 20 minutes into the flight is shown above. If the speed at liftoff is 900 ft/min, what is the speed of the plane after 20 minutes?
| 2 | [
"610 ft/min",
"900 ft/min",
"1,510 ft/min",
"1,800 ft/min"
] | |||||||||
Math | The graph of a function f is shown above. Which of the following statements about f is true?
| 3 | [
"An infinite discontinuity occurs at x = 4.",
"A jump discontinuity occurs at x = 3.",
"A removable discontinuity occurs at x = 2.",
"A jump discontinuity occurs at x = 1."
] | |||||||||
Math | Let g be the function given above. If g is continuous for all real numbers, what is the value of k ?
| 0 | [
"-6",
"-3",
"0",
"2"
] | |||||||||
Math | The graph of f(x) appears above. Which of the following could be the zeros of the derivative function fâ²(x) ?
| 1 | [
"x = -2, 2.5",
"x = -3, 1, 4",
"x = -2, -1, 2.5",
"x = -4, -1, 3, 5"
] | |||||||||
Math | The position of a particle, s, is given above for 0 ⤠t ⤠10. On what interval(s) is the particle slowing down?
| 2 | [
"2 ⤠t ⤠6",
"0 ⤠t ⤠4",
"0 ⤠t ⤠2 UU 4 ⤠t ⤠6",
"2 ⤠t ⤠6 U 6 ⤠t ⤠10"
] | |||||||||
Math | The graph of a function f is given above. Based on the graph, which of the following statements is true?
| 1 | [
"f is continuous and differentiable everywhere and fâ²(2) = 0.",
"f is continuous everywhere and differentiable everywhere except at x = 2.",
"f is discontinuous at x = 2 and f is differentiable everywhere except at x = 2.",
"f is discontinuous at x = 2, f is differentiable everywhere, and fâ²(2) = 0."
] | |||||||||
Math | The graph above shows the polar curve r = 3θ + sin θ for 0 ⤠θ â¤ Ï . Let R be the region bounded by the polar curve and the x-axis. What is the area of R?
| 2 | [
"16.804",
"20.923",
"56.720",
"113.439"
] | |||||||||
Math | Question: 17
What is the purpose of the chart shown below?
| 3 | [
"To identify the standard deviation of revenue compared to profit",
"To identify whether the mean profit is larger than the mode revenue",
"To make a multivariate projection of sales based on revenue and profit",
"To determine whether there is any correlation between revenue and profit",
"To observe whether... | |||||||||
Math | Question: 21
Describe the shape of the histogram below.
| 4 | [
"Normal",
"Bimodal",
"Skewed right",
"Skewed left",
"Uniform"
] | |||||||||
Math | Question: 22
Two college professors are grading several papers and are required to draw histograms to show the grade distribution at the end of the semester. The test scores are graded on a range of 0 to 100 points. Which of the following claims is correct?
| 2 | [
"The exam results graded by the first professor have a right-skewed distribution because the median is different from the standard deviation.",
"The exam results graded by the second professor have a normal distribution because the mode and mean are equal.",
"The exam results graded by the first professor have ... | |||||||||
Math | Question: 24
Find the mean and the median in the dot plot below (n = 20).
| 2 | [
"Mean: 12.9; median: 13",
"Mean: 12.4; median: 13",
"Mean: 12.9; median: 13.5",
"Mean: 12.9; median: 14",
"Mean: 12.4; median: 14"
] | |||||||||
Math | Question: 25
Find the number of data values represented and the median for the stem plot below.
| 4 | [
"n = 13; median: 36.5",
"n = 20; median: 36.56",
"n = 24; median: 32",
"n = 13; median: 34",
"n = 20; median: 34"
] | |||||||||
Math | Question: 26
Data values represented by the bar labeled "10" in the histogram below fall into which range?
| 4 | [
"7.5 up to 12.5",
"7.25 up to 12.75",
"8.5 up to 11.5",
"8.75 up to 11.75",
"8.75 up to 11.25"
] | |||||||||
Math | Question: 27
The variable marked with x in the table below is of an unknown value. If the mean of the dataset is 15, what is the value of x?
| 2 | [
"The value of x is 1.",
"The value of x is 3.",
"The value of x is 21.",
"The value of x is 7.5.",
"The value of x is 5."
] | |||||||||
Math | Question: 28
The variable marked with y has the smallest value of the dataset. If the range of the dataset is 23, what is the value of y and what is the mean?
| 0 | [
"The value of y is 11, while the mean is 19.",
"The value of y is 57, while the mean is 28.2.",
"The value of y is 23, while the mean is 21.4.",
"The value of y is 26, while the mean is 22.",
"The value of y is 29, while the mean is 22.75."
] | |||||||||
Math | Question: 33
Find the five-number summary from the box plot and calculate the interquartile range.
| 3 | [
"Min: 4; Q1: 5.75; Med: 9.5; Q3: 13.75; Max: 16; IQR: 8",
"Min: 3; Q1: 5.75; Med: 10.5; Q3: 13.75; Max: 16; IQR: 8",
"Min: 3; Q1: 5.75; Med: 9.5; Q3: 13.75; Max: 15; IQR: 8",
"Min: 3; Q1: 5.75; Med: 9.5; Q3: 13.75; Max: 16; IQR: 8",
"Min: 3; Q1: 5.75; Med: 9.5; Q3: 13.75; Max: 16; IQR: 9"
] | |||||||||
Math | Question: 34
Which statement is true of the dataset summarized by this five-number summary?
| 4 | [
"There are no outliers.",
"3 is a mild outlier and 20 is an extreme outlier.",
"3 and 20 are mild outliers.",
"20 is an extreme outlier.",
"20 is a mild outlier. There are no extreme outliers."
] | |||||||||
Math | Question: 39
The range of a dataset is 20 and x has the highest value of the variables provided. What is the value of y and the standard deviation of the dataset if rounded to two decimals?
| 1 | [
"The value of y is 32, and the standard deviation is 7.",
"The value of y is 30, and the standard deviation is 6.41.",
"The value of y is 35, and the standard deviation is 7.92.",
"The value of y is 20, and the standard deviation is 4.03.",
"The value of y is 2, and the standard deviation is 5.76."
] | |||||||||
Math | Question: 41
For the probability density curve below, which of the following statements is true?
I. The area is exactly 1 underneath it.
II. It does not model the distribution of the data.
III. It is a function that is always positive.
| 1 | [
"I only",
"I and III only",
"II and III only",
"II only",
"III only"
] | |||||||||
Math | Question: 42
Why is the following not an example of a valid probability density curve?
| 3 | [
"Because the curve does not follow a normal distribution",
"Because such a function is by definition either constantly positive or negative",
"Because such a function has to have at least two maximum values and one minimum value",
"Because the function cannot be negative",
"Because the function cannot be po... | |||||||||
Math | Question: 44
The following box plot illustrates the movement of two variables, A1 and B1. Which of the following assumptions is correct?
| 2 | [
"A1 has smaller outliers compared to B1.",
"The value of the median is higher for B1.",
"The range of the data is larger in A1.",
"The two variables have medians of the same value.",
"A1 has problems with outliers that are larger compared to most of the dataset, while B1 has outliers that are smaller than m... | |||||||||
Math | Question: 46
The histograms below show the number of cat and dog owners based on the number of each animal owned. Choose the best description from the statements below.
| 0 | [
"There are more cat owners than dog owners. There are more cats than dogs.",
"There are more cat owners than dog owners. There are more dogs than cats.",
"There are more dog owners than cat owners. There are more cats than dogs.",
"There are more dog owners than cat owners. There are more dogs than cats.",
... | |||||||||
Math | Question: 52
The cumulative frequency distribution of airfares is displayed in the ogive. What airfares correspond to the 20th percentile, the 50th percentile, and the 80th percentile?
| 2 | [
"P20 = 95; P50 = 102; P80 = 106",
"P20 = 96; P50 = 103; P80 = 106",
"P20 = 96; P50 = 102; P80 = 106",
"P20 = 96; P50 = 102; P80 = 100",
"P20 = 96; P50 = 102; P80 = 107"
] | |||||||||
Math | Question: 53
The histogram represents the heights of males in the United States between the ages 20â29. The mean is 69.6 inches, and the standard deviation is 2.6 inches. Since the heights are approximately normal, find the height that represents the 20th percentile. How should this be interpreted?
| 2 | [
"60 inches. 20% of the population of males between the ages 20â29 are shorter than approximately 60 inches.",
"68.6 inches. 20% of the population of males between the ages 20â29 are shorter than approximately 68 inches.",
"67.4 inches. 20% of the population of males between the ages 20â29 are shorter than... | |||||||||
Math | Question: 54
The histogram represents the heights of males in the United States between the ages 20â29. The mean is 69.6 inches, and the standard deviation is 2.6 inches (approximately normal). Three adult males are selected from the group. Their heights are 75 inches, 63 inches, and 79 inches. Determine which height... | 3 | [
"The 79-inch height is the only one that is unusual because it is more than three standard deviations above the mean. The z-scores, respectively, are: 2.08, â2.54, and 3.62.",
"The 79-inch and 63-inch heights are the only ones that are unusual because they are more than two standard deviations from the mean. Th... | |||||||||
Math | Question: 55
The dataset shown below has a mean value of 15. Based on this information, which of the following correctly identifies the unknown value x and the range of the dataset?
| 1 | [
"The value of x is 3, and the range is 27.",
"The value of x is 9, and the range is 25.",
"The value of x is 5, and the range is 25.",
"The value of x is 11, and the range is 19.",
"The value of x is 18, and the range is 10."
] | |||||||||
Math | Question: 58
The frequency distribution shows the number of magazine subscriptions per household in a random sample (n = 50). Find the mean number of subscriptions per household.
| 1 | [
"Mean is 2.0",
"Mean is 1.8",
"Mean is 1.5",
"Mean is 3.0",
"Mean is 92"
] | |||||||||
Math | Question: 59
The table below shows the correct values of the mean and the standard deviation for four different datasets. Which of the following assumptions is most likely accurate?
| 3 | [
"Dataset A has, on average, the smallest number of values that are different from the mean compared to the other datasets in the table.",
"The maximum value of dataset B is 17.3.",
"The maximum value of dataset D is 71.57.",
"Dataset C has, on average, the smallest number of values that are different from the... | |||||||||
Math | Question: 63
Five students had five tests in one semester, and every test was graded on a scale of 0 to 20 points. Based on information from the table, which of the following students had the largest variance in his or her results, and which student had the largest mean value?
| 0 | [
"James had the largest variance, while Mike had the largest mean score.",
"Mike had the largest mean score and the largest variance.",
"Tina had the largest variance, while James had the highest mean score.",
"Tina had the largest variance, while Mark had the largest mean score.",
"Angela had the largest va... | |||||||||
Math | Question: 65
What data point is indicated on the distribution?
| 3 | [
"61.9",
"64.5",
"67.0",
"72.1",
"77.2"
] | |||||||||
Math | Question: 66
Which of the following statements best describes the scatter plot?
I. A linear model would fit the data well.
II. The bivariate data are positively correlated.
III. The linear relationship is weak
| 2 | [
"I only",
"I and III only",
"I and II only",
"II only",
"III only"
] | |||||||||
Math | Question: 67
The scatter plot of study time in hours versus test scores in a statistics class is shown below. What can be said about the relationship between time spent studying and test scores?
| 2 | [
"More time spent studying is related to lower test scores.",
"Less time spent studying is related to higher test scores.",
"More time spent studying is related to higher test scores.",
"Higher test scores are caused by more time spent studying.",
"There is no discernible relationship between study time and ... | |||||||||
Math | Question: 70
Why does Chart 1 show a better fitting line than Chart 2?
| 3 | [
"Because it has a negative correlation",
"Because it shows a positive correlation",
"Because it shows proof of causality",
"Because it has a lower value of the sum of squares",
"Because the value of the slope is negative"
] | |||||||||
Math | Question: 71
Based on the data shown in the chart below, what is the most likely correlation between the two datasets shown?
| 4 | [
"There is a correlation between the variables lower than -0.9.",
"There is a correlation between the variables of -0.7.",
"There is a correlation between the variables that is close to 0.",
"There is a correlation between the variables that is around 0.65.",
"There is a correlation between the variables hig... | |||||||||
Math | Question: 72
Why does the following dataset most likely have a correlation of roughly 0.5?
| 2 | [
"Because the two datasets move in opposite directions",
"Because there is no connection between the datasets",
"Because, at certain times, the increase in the value of one dataset is associated with the increase of the value of the second dataset",
"Because, at certain times, as the value of one dataset incre... | |||||||||
Math | Question: 74
In the scatter plot, what effect does the indicated point have on the correlation coefficient and the slope of the least-squares regression line?
| 1 | [
"The point is influential; r decreases and the slope increases.",
"The point is influential; r decreases and the slope decreases.",
"The point is influential; r decreases and the slope is unaffected.",
"The point is not influential; therefore, r and the slope are unaffected.",
"The point is influential; the... | |||||||||
Math | Question: 75
In the scatter plot, how could the data be transformed in order to do a linear regression?
| 3 | [
"By squaring each data point y-value",
"By taking the natural logarithm of each data point y-value",
"By raising each data point y-value to the base 10",
"By taking the square root of each data point y-value",
"By cubing each data point y-value"
] | |||||||||
Math | Question: 77
Using the dataset, what can be said about the relationship between earnings and dividends?
| 1 | [
"More earnings are related to more dividends.",
"There is no discernible relationship between earnings and dividends.",
"More earnings are related to less dividends.",
"More dividends are caused by more earnings.",
"Fewer earnings are related to more dividends."
] | |||||||||
Math | Question: 79
From the regression output below, which type of variation does R-squared (R-Sq) pertain to?
| 2 | [
"Total variation",
"Unexplained variation",
"Explained variation",
"Least squares variation",
"Error variation"
] | |||||||||
Math | Question: 81
Find the slope from the least-squares regression line for the data below of final grade as a percent and days absent. What does it tell us about the relationship?
| 4 | [
"Slope is approximately 94.695. For each additional day absent, the student's final grade increases by about 0.947%.",
"Slope is approximately -94.695. For each additional day absent, the student's final grade decreases by about 0.947%.",
"Slope is approximately 6.767. For each additional day absent, the studen... | |||||||||
Math | Question: 84
Compare the two scatter plots. Which of the following statements is true about r ?
| 4 | [
"r1 indicates a highly negative correlation, while r2 indicates a moderate positive correlation.",
"The r value shows that there is causation between the datasets.",
"r2 indicates a stronger correlation than r1.",
"r cannot be used to find the percentage of variation that has been explained.",
"The r value ... | |||||||||
Math | Question: 87
Compare the two regression outputs. Which regression equation explains more of the variation in y ?
| 2 | [
"Regression 1, since R-Sq, unexplained variation, is the smaller.",
"Regression 2, since R-Sq, total variation, is the smaller.",
"Regression 1, since R-Sq, explained variation, is the greater.",
"Regression 2, since R-Sq, explained variation, is the greater.",
"Regression 1, since R-Sq, total variation, is... | |||||||||
Math | Question: 88
Find and interpret r for the dataset.
| 3 | [
"r = 0.0903. There is a weak positive linear correlation.",
"r = -0.0903. There is a weak negative linear correlation.",
"r = 0.903. There is a strong positive linear correlation.",
"r = -0.903. There is a strong negative linear correlation.",
"r = 0.0903. There is no linear correlation."
] | |||||||||
Math | Question: 90
From the time series data, find r. What does r tell us about the regression?
| 2 | [
"r = 0.238. There is a very weak linear relationship.",
"r = -0.238. There is a very weak linear relationship.",
"r = 0.488. There is a very weak positive linear relationship.",
"r = -0.488. There is a very weak negative linear relationship.",
"r = -0.488. There is no discernible relationship."
] | |||||||||
Math | Question: 91
Based on the residuals shown in the chart below, what kind of transformation should be applied to better fit the dataset?
| 3 | [
"The first difference should be used.",
"A square transformation should be used.",
"All of the values should be divided by 2.",
"The root transformation should be used.",
"The values should be transformed by multiplying them with an instrumental variable."
] | |||||||||
Math | Question: 95
Compare the two datasets below. Which statements are true?
I. Absences are a better predictor of the final grade.
II. The sum of the residuals is the same for both.
III. The unexplained variation in the final is much greater than in the midterm.
| 2 | [
"I only",
"I and III only",
"I and II only",
"II only",
"III only"
] | |||||||||
Math | Question: 96
From the regression output below, calculate the coefficient of determination. What does it tell you about the relationship?
| 4 | [
"r2 = 38.9%; that 38.9% of the variation of the residual error is explained by the regression",
"r2 = 44.0%; that 44.0% of the variation of the difference of the regression and the residual error is explained by the total",
"r2 = 28.0%; that 28.0% of the variation of the response variable is explained by the re... | |||||||||
Math | Question: 97
From the regression output below, calculate the percentage of unexplained variation in the dependent (response) variable.
| 4 | [
"1.8%",
"1.9%",
"96.4%",
"98.1%",
"98.2%"
] | |||||||||
Math | Question: 98
Use the dataset to find the correlation coefficient. What would be the best explanation of the strength of this relationship?
| 3 | [
"Correlation coefficient is -0.730. That higher grades are earned by more efficient study techniques.",
"Correlation coefficient is 0.730. That students expecting higher grades study more hours per week.",
"Correlation coefficient is -0.730. That less time spent studying results in better grades.",
"Correlati... | |||||||||
Math | Question: 109
What statement is true about the two models for the dataset?
Correlations: Distress, Brain 1
Pearson correlation of Distress and Brain 1 = 0.878
P-Value = 0.000
| 0 | [
"Under both models, the correlation between the variables is the same.",
"Model II is more appropriate since it has a larger residual error.",
"Model I suggests a negative linear correlation between the variables.",
"The residuals for the different data values will be the same under both models.",
"The corr... | |||||||||
Math | Question: 165
The probability of Bill serving an ace in tennis is 0.15, and the probability that he double faults is 0.25. What is the probability that Bill does not serve an ace or a double fault?
| 4 | [
"0.5",
"0.15",
"0.4",
"0.9",
"0.6"
] | |||||||||
Math | Question: 170
Calculate the expected value and the variance of the following probability distribution.
| 3 | [
"E(X ) = 2.0, V(X ) = 1.4",
"E(X ) = 2.1, V(X ) = 1.0",
"E(X ) = 2.1, V(X ) = 1.2",
"E(X ) = 2.1, V(X ) = 1.4",
"E(X ) = 2.0, V(X ) = 1.0"
] | |||||||||
Math | Question: 171
The probability distribution for the number of incidents occurring in a year is shown below. Calculate the expected value and the variance.
| 2 | [
"E(X ) = 2.0, V(X ) = 2.0",
"E(X ) = 1.9, V(X ) = 1.8",
"E(X ) = 2.0, V(X ) = 1.8",
"E(X ) = 2.0, V(X ) = 1.4",
"E(X ) = 1.9, V(X ) = 1.4"
] | |||||||||
Math | Question: 172
The probability distribution for the frequency of an event occurring in five trials is shown below. Calculate the expected value and the standard deviation.
| 3 | [
"E(X ) = 1.25, SD = 1.0",
"E(X ) = 1.5, SD = 1.05",
"E(X ) = 1.5, SD = 1.1",
"E(X ) = 1.5, SD = 1.0",
"E(X ) = 1.25, SD = 1.05"
] | |||||||||
Math | Question: 173
The probability distribution for the number of defects found in a sample is shown below. Calculate the expected value and the standard deviation.
| 0 | [
"E(X ) = 0.9, SD = 0.8",
"E(X ) = 0.9, SD = 0.6",
"E(X ) = 0.9, SD = 0.7",
"E(X ) = 1.0, SD = 0.6",
"E(X ) = 1.0, SD = 0.7"
] | |||||||||
Math | Question: 175
What should be the height of the missing bar in the histogram?
| 0 | [
"75",
"0.7",
"70",
"60",
"50"
] | |||||||||
Math | Question: 176
Suppose a cell phone company manufactures cell phones and tablets in the following four states: Arizona, California, Washington, and Minnesota. The table below shows the percentage of total output by state, and within each state, the percentage output of each product. What is the probability that a random... | 2 | [
"0.05",
"0.08",
"0.004",
"0.5",
"0.04"
] | |||||||||
Math | Question: 198
Students in a biomedical statistics course take two tests before a final. The statistics from the first test for three different classes (May, June, and July) are shown. What would be the average and the standard deviation of the sum of the test scores?
| 2 | [
"Mean of the sum: 51. Standard deviation: 10.51.",
"Mean of the sum: 51. Standard deviation: 5.45.",
"Mean of the sum: 51. Standard deviation: 3.24.",
"Mean of the sum: 51. Standard deviation: 2.33.",
"Mean of the sum: 50. Standard deviation: 3.24."
] | |||||||||
Math | Question: 202
Given the following probability distribution, find P (1 ⤠X ⤠4).
| 2 | [
"0.01",
"0.08",
"0.20",
"0.58",
"0.70"
] | |||||||||
Math | Question: 204
The dataset below is based on a survey of 100 randomly selected travelers who were asked, "How many trips per year do you typically take?"
What is the probability that a randomly selected survey participant is male or takes two or fewer trips per year?
| 3 | [
"0.17",
"0.18",
"0.36",
"0.69",
"0.86"
] | |||||||||
Math | Question: 266
In a recent online survey of 1,700 adults, it was revealed that only 17% felt the Internet was secure. With what degree of confidence can you say that 17% ± 2% of adults believe that online security is secure?
| 3 | [
"72.9%",
"90%",
"95%",
"97.2%",
"98.6%"
] | |||||||||
Math | Question: 267
One of the students in the school council election wants to make healthy lunch menus her pitch to gain votes. What size voter sample would she need to obtain a 90% confidence that her support level margin of error is no more than 4%?
| 2 | [
"25",
"600",
"423",
"1691",
"None of the above"
] | |||||||||
Math | Question: 279
The researchers conducting an experiment have obtained the results as shown in the table below. Which of the following correctly identifies the minimum and maximum values of the 95% confidence interval?
| 3 | [
"14.2â20.2",
"11.151â20.258",
"11.21â23.21",
"9.652â24.748",
"8.148â25.184"
] | |||||||||
Math | Question: 282
A team of researchers is testing a new drug. They have obtained the results as shown in the table below. What is the minimum and maximum value of the researchers' 95% confidence interval, rounded to one decimal?
| 0 | [
"8.7â22.2",
"7.9â23.2",
"5.4â21.4",
"6.7â24.7",
"3.4â28.4"
] | |||||||||
Math | Question: 283
While weighing five infants in the hospital we found their weights in kilograms to be 3.1, 3.5, 2.8, 3.2, and 3.4. What is a 90% confidence interval estimate of the infants' weights?
| 2 | [
"3.2 ± 0.202",
"3.2 ± 0.247",
"3.2 ± 0.261",
"4.0 ± 0.202",
"4.0 ± 0.261"
] | |||||||||
Math | Question: 284
A poll identifies the proportions of high-income and low-income voters who support a decrease in taxes. If we need to know the answer to be within ± 0.02 at the 95% confidence interval, what sample size should be taken?
| 1 | [
"3383",
"4803",
"7503",
"9453",
"4503"
] | |||||||||
Math | Question: 285
A survey conducted on 1,000 Canadians found that 700 of them refused to receive the H1N1 vaccination. Construct a 95% confidence interval of the estimated proportion of Canadians who refused to receive the vaccination.
| 3 | [
"(0.723, 0.777)",
"(0.686, 0.714)",
"(0.728, 0.672)",
"(0.986, 0.914)",
"(0.672, 0.728)"
] | |||||||||
Math | Question: 286
For a 95% confidence interval, you want to create a population proportion with a marginal error of no more than 0.025. How large of a sample would you need?
| 1 | [
"423",
"1537",
"385",
"2237",
"1082"
] | |||||||||
Math | Question: 287
In a random sample of 100 balloons, 30 of them are blue. Construct a 95% confidence interval for the true proportion of the blue balloons.
| 0 | [
"(0.210, 0.399)",
"(0.193, 0.407)",
"(0.165, 0.334)",
"(0.200, 0.380)",
"(0.198, 0.378)"
] | |||||||||
Math | Question: 325
In a sample of 500 students from statistics courses in the fall semester, 312 earned a grade of C or higher. In the spring semester, 400 of the 525 students sampled earned a grade of C or higher. If we treat the fall semester as "sample 1" and the spring semester as "sample 2," what is the appropriate sta... | 1 | [
"z = -6.699",
"z = -4.792",
"z = 4.792",
"z = 6.699",
"The z-test statistic depends on the level of significance of the test"
] | |||||||||
Math | Question: 336
A survey of randomly selected visitors to a mall yielded the following data:
Based on this sample, what would be the correct decision and conclusion of a test to determine whether the proportion who approve of a new design plan for the seating area in the food court is higher for women than it is for m... | 1 | [
"Reject the null hypothesis concluding that there is evidence the proportion is higher for women.",
"Do not reject the null hypothesis concluding that there is no evidence that the proportion is higher for women.",
"Reject the null hypothesis concluding that there is no evidence that the proportion is higher fo... | |||||||||
Math | Question: 340
Which of the following is a correct interpretation of the t-test shown below?
| 3 | [
"There is a statistically significant difference between the means of the variables.",
"There is a statistically significant difference when one is viewing the two-tailed test, but not for the one-tailed test.",
"There is a weak negative correlation between the two variables.",
"The results of the t-test sugg... | |||||||||
Math | Question: 354
A teacher is investigating the relationship between hours spent studying and exam scores (scale 0â100).
Based on the computer output above, in a test of H0 : β = 0 versus Ha : β â 0, which of the following would be correct?
| 0 | [
"Reject H0 concluding that at the 5% level there is a linear relationship between hours spent studying and exam scores.",
"Do not reject H0 concluding that at the 5% level there is a linear relationship between hours spent studying and exam scores.",
"Reject H0 concluding that at the 5% level there is no eviden... | |||||||||
Math | Question: 357
Based on a sample of 20 data values, the least-squares regression line to predict y from x is . If Sb = 0.76, find the t-test statistic for H0 : β = 0.
| 1 | [
"0.09",
"0.12",
"0.67",
"8.44",
"28.08"
] | |||||||||
Math | Question: 363
A scientist is studying the relationship between the percentage of a particular type of nutrient in the soil and the eventual height of a plant.
The regression equation is: Height = 5.31 + 3.34 Percentage
Which of the following is true?
| 4 | [
"Neither the constant nor the slope are statistically significant at the 1% significance level.",
"The constant of the regression is 3.345.",
"The regression can be interpreted as a 1% increase of the percentage of nutrients causing a 5.31 increase in the height of the plant.",
"The lower the R-squared value,... | |||||||||
Math | Question: 365
As part of a project analyzing the relationship between the square footage of homes and their final sale price in thousands of dollars, a student performed a regression analysis.
The regression equation is: Sale Price = 179 + 0.0289 SqFt
Based on the computer output above, what is the value for the t-t... | 0 | [
"1.53",
"4.42",
"3.06",
"8.84",
"40.52"
] | |||||||||
Math | Question: 375
Consider the regression output provided below that considers the impact of height on weight. Which of the following is correct?
| 3 | [
"The 95% confidence interval for the constant is from â0.435 to 1.695.",
"The regression output suggests that an increase in height is associated with a 0.219 increase in weight.",
"The model is based on the comparison of seven observations.",
"The R-squared value of the model suggests that the model may no... | |||||||||
Math | Question: 379
The plot below shows how well the unemployment rate predicts the result of the largest political bloc in Germany, CDU/CSU. The final equation is that votes for CDU/CSU = 0.0126 unemployment rate + 0.279. What can we infer from the results of this prediction?
| 0 | [
"The regression line is not really accurate in predicting the results and there seem to be numerous outliers, some of which are not even captured by the 95% confidence interval.",
"The regression model has a very high R-squared value, likely above 0.9, as almost all of the variables are within the 95% confidence ... | |||||||||
Math | Question: 386
Which of the following datasets was used to gain the regression output below?
| 0 | [
"Datasets A and B",
"Datasets C and D",
"Datasets E and F",
"Datasets G and H",
"Datasets C and G"
] | |||||||||
Math | Question: 388
A researcher is trying to determine the impact of the unemployment rate on the interest rate. Based on the values shown below, what can we conclude about the model?
| 3 | [
"Based on the value of the Durbin-Watson coefficient and the R-squared value, it is clear that there is a strong predictability value of the model.",
"Due to the fact that the R-squared value is very low, the predictability value of the model is high.",
"Due to the fact that the value of the constant is larger ... | |||||||||
Math | Question: 399
A student is studying the relationship between the number of hours students work and their final exam scores in statistics courses. A regression analysis resulted in the computer output below.
What is the p-value that should be used to test H0 : β = 0 versus Ha : β > 0?
| 1 | [
"0",
"0.146",
"0.292",
"0.708",
"0.854"
] | |||||||||
Math | Question: 400
A student is studying the relationship between the number of hours students work and their final exam scores in statistics courses. A regression analysis resulted in the computer output below.
What is the t-test statistic that should be used to test H0 : β = 0 versus Ha : β â 0?
| 1 | [
"-3.22",
"-1.61",
"-0.805",
"5.655",
"11.31"
] | |||||||||
Math | Question: 401
A student is studying the relationship between the number of hours students work and their final exam scores in statistics courses. A regression analysis resulted in the computer output below.
If the student used a sample of 10, which of the following is the 95% confidence interval for the true slope o... | 3 | [
"-0.4195 ± 10.1695",
"-0.4195 ± 23.451",
"-0.4195 ± 0.2605",
"-0.4195 ± 0.601",
"-0.4195 ± 11.957"
] | |||||||||
Math | Question: 413
A public opinion poll surveyed a simple random sample of voters. Respondents were classified by gender and by voting preference (Republican, Democratic, or independent). Results are shown below.
If you conduct a chi-squared test for independence, what is the expected frequency count of male independent... | 0 | [
"40",
"50",
"60",
"180",
"270"
] | |||||||||
Math | Question: 420
The following data have been collected on the respondents' favorite type of sport:
If the expected frequencies rule for chi-square had been violated by the data, which categories could be combined together usefully in an attempt to increase the expected frequencies?
| 2 | [
"Individual sport, team sport, and neither",
"Males and females",
"Individual sport and team sport",
"Males and individual sport",
"Team sport and neither"
] |
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