AnswersAlgebra IIStatistics and Probability

Practice Test Answers

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1
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Which is an accurate comparison?

A
The mean is likely greater than the median because the data is skewed to the right.
B
The median is likely greater than the mean because the data is skewed to the right.
C
The mean is likely greater than the median because the data is skewed to the left.
D
The median is likely greater than the mean because the data is skewed to the left.
4

How might the graph be misleading?

A
The scale on the y -axis underemphasizes the difference in salaries between different experience levels.
B
The scale on the x -axis overemphasizes the difference in salaries between different experience levels.
C
The scale on the x -axis underemphasizes the difference in salaries between different experience levels.
D
The scale on the y -axis overemphasizes the difference in salaries between different experience levels.
5

A utility company hires pollsters to knock on random doors in different parts of town to survey residents about the cost of their electric bill. Would this study be biased? Why or why not?

A
Yes, it is biased. Only certain parts of the town were surveyed.
B
Yes, it is biased. Some of the residents who are surveyed may not want to respond to someone who knocks at their door.
C
No, it is not biased. All residents who are surveyed will want to respond.
D
No, it is not biased. All residents of the town will have the opportunity to respond.
7

Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?

A
Removing the outlier will not change the spread of the graph of the data set.
B
Removing the outlier will increase the variance of the data set.
C
Removing the outlier will decrease the spread of the graph of the data set.
D
Removing the outlier will not change the variance of the data set.
11

Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid reason for his conclusion?

A
The z -statistic lies outside the critical region.
B
The z -statistic lies in the critical region.
C
The z -statistic is greater than 0 .
D
The z -statistic is less than 0 .
12

Veronique has a spinner with three sections of equal size, red r , green g , and blue b The spinner is spun twice. The sample space for the possible outcomes is cap s is equal to rr, rb, rg, gr, gg, gb, br, bg, bb If the number of times red is spun is the random variable, cap x , which graph represents the probability distribution?

A
Image with description The bar graph entitled Probability Distribution represents the probability of how many times the color red is spun as a random variable. The x axis shows the possible values of the variable X, from 0 times to 1 time and 2 times, while the y axis shows the probability ranging from 0 to 0 point 5, in increments of 0.1, labeled as P subscript x of x. There are 3 bars on the graph. The first bar is at 0 times and its height is 0 point 43, the second bar is at 1 time and its height is 0 point 43, and the third bar is at 2 times and its height is 0 point 1.
B
Image with description The bar graph entitled Probability Distribution represents the probability of how many times the color red is spun as a random variable. The x axis shows the possible values of the variable X, from 0 times to 1 time and and 2 times, while the y axis shows the probability ranging from 0 to 0 point 6, in increments of 0.1, labeled as P subscript x of x. There are 3 bars. The first bar is at 0 times and its height is 0 point 5, the second bar is at 1 time and its height is 0 point 38, and the third bar is at 2 times and its height is 0 point 12.
C
Image with description The bar graph entitled Probability Distribution represents the probability of how many times the color red is spun as a random variable. The x axis shows the possible values of the variable X, from 0 times to 1 time and 2 times, while the y axis shows the probability ranging from 0 to 0 point 4, in increments of 0.1, labeled as P subscript x of x. There are 3 bars. The first bar is at 0 times and its height is 0 point 33, the second bar is at 1 time and its height is 0 point 33, and the third bar is at 2 times and its height is 0 point 33.
D
Image with description The bar graph entitled Probability Distribution represents the probability of how many times the color red is spun as a random variable. The x axis shows the possible values of the variable X, from 0 times to 1 time and 2 times, while the y axis shows the probability ranging from 0 to 0 point 6, in increments of 0.1, labeled as P subscript x of x. There are 3 bars. The first bar is at 0 times and its height is 0 point 55, the second bar is at 1 time and its height is 0 point 32, and the third bar is at 2 times and its height is 0 point 11.
14

Laila guesses on all 20 questions of a multiple-choice test. Each question has 4 answer choices. What is the probability of a success and a failure for this experiment?

A
cap p times success is equal to 1 fourth ; cap p times failure is equal to 1 half
B
cap p times success is equal to 3 fourths ; cap p times failure is equal to 1 fourth
C
cap p times success is equal to 1 ; cap p times failure is equal to 0
D
cap p times success is equal to 1 fourth ; cap p times failure is equal to 3 fourths
19

The distribution of the values of a population is shown in the graph, and a simple random sample is drawn from the population. Based on this information alone, can the sample be used to make inferences about the population?

A
No, because the population values appear to be normally distributed.
B
Yes, because the population values do not appear to be normally distributed.
C
No, because the population values do not appear to be normally distributed.
D
Yes, because the population values appear to be normally distributed.

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