AnswersCA-Common Core Algebra II BUnit Test

Unit Test — Unit test Answers

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Johnni guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that she got exactly 3 questions correct? Round the answer to the nearest thousandth.

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A
0.004
B
0.208
C
0.422
D
0.792
2
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The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. What is the life span of an appliance that has a z-score of –3?

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A
3 months
B
24 months
C
45 months
D
72 months
3

Which set of population data is the least dispersed from its mean?

A
2, 3, 2, 9
B
4, 0, 4, 0
C
6, 2, 2, 2
D
9, 3, 5, 3
4

Kavita has been assigned the task of studying the average customer receipt for a branch of a major restaurant chain. The average receipt for the chain is $72.00 with a standard deviation of $11.00. The branch she is studying has an average bill of $67.00 for the last 40 receipts. She needs to know if this falls below the chain’s average. She will use a 1% level for significance because she does not want to inadvertently report the restaurants income as below average.Upper-Tail Valuesa5%2.5%1%Critical z-values1.651.962.58Which choice depicts the result for Kavita’s hypothesis test?

A
She should reject H0: µ = 72 and accept Ha: µ < 72.
B
She should reject H0: µ = 72 and accept Ha: µ 72.
Option B
C
She should accept H0: µ = 72 and reject Ha: µ 72.
Option C
D
She should reject Ha: µ < 72 but cannot accept H0: µ = 72.
5

The histogram below shows the estimated monthly salaries of company employees with different years of experience. How might the graph be misleading?

Question illustration
T
The scale on the y-axis overemphasizes the difference in salaries between different experience levels.
T
The scale on the y-axis underemphasizes the difference in salaries between different experience levels.
T
The scale on the x-axis overemphasizes the difference in salaries between different experience levels.
T
The scale on the x-axis underemphasizes the difference in salaries between different experience levels.
6

The histogram below shows the number of weeks Jimmy spent different amounts of money to fill the gas tank in his car. If the graph is redrawn so that the scale on the y-axis begins with zero, which aspect of the graph will change the most?

Question illustration
A
The difference in the heights of the bars will not appear as great.
B
The difference in the heights of the bars will be more pronounced.
C
The graph will appear more skewed to the left.
D
The graph will appear more skewed to the right.
7

A city’s annual rainfall totals are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by . If the standard deviation of the city’s yearly rainfall totals is 1.8 inches, what is the city’s mean annual rainfall?

Question illustration
A
40.5 inches
B
41.4 inches
C
45.0 inches
D
45.9 inches
8

Derek Jeter challenges Albert Pujols to a batting battle. Each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. Which player should you back given the statistics in the table below? Note that home runs are included as hits in the table.Data for Two BattersBatterAt BatsHitsHome RunsJeter4881569Pujols44812526

A
E(Jeter) = 0.38 and E(Pujols) = 0.45, so back Pujols.
B
E(Jeter) = 0.39 and E(Pujols) = 0.51, so back Pujols.
C
E(Jeter) = 0.34 and E(Pujols) = 0.34, so it doesn’t matter who you back.
D
E(Jeter) = 1.22 and E(Pujols) = 0.94, so back Jeter.
9

The histogram below shows the average number of days per year in 117 Oklahoma cities where the high temperature was greater than 90 degrees Fahrenheit.Which is an accurate comparison?

Question illustration
A
The mean is likely greater than the median because the data is skewed to the right.
B
The mean is likely greater than the median because the data is skewed to the left.
C
The median is likely greater than the mean because the data is skewed to the right.
D
The median is likely greater than the mean because the data is skewed to the left.
10

A supervisor finds the mean number of miles that the employees in a department live from work. He finds and . Which statement must be true?

Question illustration
A
z37 is within 1 standard deviation of the mean.
B
z37 is between 1 and 2 standard deviations of the mean.
C
z37 is between 2 and 3 standard deviations of the mean.
D
z37 is more than 3 standard deviations of the mean.
11

The times taken to assemble a clock at a factory are approximately normally distributed with a given mean = 3 hr and standard deviation = 0.5 hr. What percentage of the times are between 2 hr and 4 hr?

Question illustration
A
34%
B
47.5%
C
68%
D
95%
12

Voluntary sampling is one type of sampling method that is not probability based. This means that

A
each member of a population is equally likely to be chosen for the survey.
B
the results of the survey cannot reliably be extended and generalized.
C
the likelihood of a member of the population volunteering to be surveyed is not probable.
D
the results of the survey are not mathematically probable.
13

Miguel Cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (Note: The home runs are included in the hits data.) If he is challenged to a batting battle, what is the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run?

0
0.36
0
0.43
0
0.57
0
0.63
14

The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean = 18 sec and standard deviation = 1.2 sec. What percentage of the runners have times less than 14.4 sec?

Question illustration
A
0.15%
B
0.30%
C
0.60%
D
2.50%
15

A normal distribution of data has a mean of 90 and a standard deviation of 18. What is the approximate z-score for the value 64?

A
–3.6
B
–1.4
C
1.4
D
3.6

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