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Chapter 2: Q. 1 (page 138)

T2.1. Many professional schools require applicants to take a standardized test. Suppose that 1000 students take such a test. Several weeks after the test, Pete receives his score report: he got a 63, which placed him at the 73rd percentile. This means that

(a) Pete's score was below the median.

(b) Pete did worse than about 63%of the test takers.

(c) Pete did worse than about 73%of the test takers.

(d) Pete did better than about 63%of the test takers.

(e) Pete did better than about 73%of the test takers.

Short Answer

Expert verified

(e) Pete scored better than about 73%of all test takers.

Step by step solution

01

Concept Introduction

Standardized testing allows for comparisons between schools in terms of student accomplishment, maintains teacher responsibility, and can help educators improve their curriculum.

02

Explanation

Given: Pete scored at the 73rd percentile.

A 73rd percentile score represents one that has approximately 73% of all data below it.

This means that Pete's score has approximately 73% of all test scores below it and so Pete scored better than about 73% of all test takers.

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T2.11. As part of the President's Challenge, students can attempt to earn the Presidential Physical Fitness Award or the National Physical Fitness Award by meeting qualifying standards in five events: curl-ups, shuttle run, sit and reach, one-mile run, and pull-ups. The qualifying standards are based on the 1985School Population Fitness Survey. For the Presidential award, the standard for each event is the 85thpercentile of the results for a specific age group and gender among students who participated in the 1985survey. For the National award, the standard is the 50th percentile. To win either award, a student must meet the qualifying standard for all five events.
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Use Table A to 铿乶d the value zfrom the standard Normal distribution that satis铿乪s each of the following conditions. In each case, sketch a standard Normal curve with your value of zmarked on the axis. Use your calculator or the Normal Curve applet to check your answers.

Working backward

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