AnswersMathematics III AHypothesis Testing

Hypothesis Testing — Unit test Answers

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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
2
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The graph below shows the amount of time Misha spent outside over a 30-day period. How might the graph be considered misleading?

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A
The x-scale is different from the y-scale.
B
The x-interval makes the data appear skewed.
C
The y-scale is too large for the data set.
D
The y-interval shows exponential increase rather than linear increase.
3

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
;
Option A
B
;
Option B
C
;
Option C
D
;
Option D
4

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.
5

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
6

What is the formula for margin of error?

A
ME =
Option A
B
ME =
Option B
C
ME =
Option C
D
ME =
Option D
7

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
8

The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.230.59100.330.62930.670.74861.000.84131.330.90821.670.95252.000.9772

A
32%
B
37%
C
42%
D
95%
9

A gymnastics coach records the scores of a gymnast and develops the probability distribution below. What is the probability the gymnast scores a 9 or 9.5?Probability DistributionGymnastics Score: XProbability: P(X)50.025.50.0260.066.50.170.167.50.1480.188.50.189?9.50.02

A
0.02
B
0.04
C
0.12
D
0.14
10

The number of absences for one week for all students at a high school were compiled, and the probability distribution below was created. What is the probability in any given week that a randomly selected student will be absent no more than one day?Probability DistributionDays Absent: XProbability: P(X)00.7810.1420.0330.014050.04

A
0.08
B
0.14
C
0.78
D
0.92
11

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.
12

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?

A
0.36
B
0.43
C
0.57
D
0.63

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