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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

According to the U.S. Census, the proportion of adults in a certain county who owned their own home was 0.71. An SRS of 100 adults in a certain section of the county found that 65 owned their home. Which one of the following represents the approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?

a. (10065)(0.71)65(0.29)3510065(0.71)65(0.29)35

b. (10065)(0.29)65(0.71)3510065(0.29)65(0.71)35

c.

P(z≤0.65-0.71(0.71)(0.29)100)Pz≤0.65-0.71(0.71)(0.29)100

d.P(z≤0.65-0.71(0.65)(0.35)100)Pz≤0.65-0.71(0.65)(0.35)100

e.P(z≤0.65-0.71(0.71)(0.29)100)Pz≤0.65-0.71(0.71)(0.29)100

According to government data, 22%of American children under the age of 6 live in households with incomes less than the official poverty level. A study of learning in

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a. Find the probability that at least 29%of the sample are from poverty-level households0.29households.

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