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Chapter 7: Q. 2.17 (page 490)

Which one of the following would be a correct interpretation if you have a z-score of +2.0 on an exam?

a. It means that you missed two questions on the exam.

b. It means that you got twice as many questions correct as the average student.

c. It means that your grade was 2 points higher than the mean grade on this exam.

d. It means that your grade was in the upper 2% of all grades on this exam.

e. It means that your grade is 2 standard deviations above the mean for this exam.

Short Answer

Expert verified

This indicates that your exam mark is 2 standard deviations above the mean.

Step by step solution

01

Given information

The following options are

a. It means that you missed two questions on the exam.

b. It means that you got twice as many questions correct as the average student.

c. It means that your grade was 2 points higher than the mean grade on this exam.

d. It means that your grade was in the upper 2% of all grades on this exam.

e. It means that your grade is 2 standard deviations above the mean for this exam.

02

Explanation for correct option

The Z score is the number of standard deviations a score deviates from the mean.

As a result, the best solution is (e)

03

Explanation for incorrect option

Option a. It means that you missed two questions on the exam is not correct interpretation if you have a z-score of +2.0 on an exam .

b. It means that you got twice as many questions correct as the average student is not correct interpretation if you have a z-score of +2.0 on an exam .

c. It means that your grade was 2 points higher than the mean grade on this exam is not correct interpretation if you have a z-score of +2.0 on an exam .

d. It means that your grade was in the upper 2% of all grades on this exam is not correct interpretation if you have a z-score of +2.0 on an exam .

e. It means that your grade is 2 standard deviations above the mean for this exam is not correct interpretation if you have a z-score of +2.0 on an exam .

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Most popular questions from this chapter

The number of undergraduates at Johns Hopkins University is approximately 2000 , while the number at Ohio State University is approximately 60,000. At both schools, a simple random sample of about 3%of the undergraduates is taken. Each sample is used to estimate the proportion p of all students at that university who own an iPod. Suppose that, in fact, p=0.80 at both schools. Which of the following is the best conclusion?

a. We expect that the estimate from Johns Hopkins will be closer to the truth than the estimate from Ohio State because it comes from a smaller population.

b. We expect that the estimate from Johns Hopkins will be closer to the truth than the estimate from Ohio State because it is based on a smaller sample size.

c. We expect that the estimate from Ohio State will be closer to the truth than the estimate from Johns Hopkins because it comes from a larger population.

d. We expect that the estimate from Ohio State will be closer to the truth than the estimate from Johns Hopkins because it is based on a larger sample size.

e. We expect that the estimate from Johns Hopkins will be about the same distance from the truth as the estimate from Ohio State because both samples are 3 % of their populations.

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