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Chapter 2: Q. 12 (page 138)

R2.12 Assessing Normality A Normal probability plot of a set of data is shown here. Would you say that these measurements are approximately Normally distributed? Why or why not?

Short Answer

Expert verified

These data aren't delivered in a properly distributed manner.

Step by step solution

01

Concept Introduction

A normal distribution, as the name implies, has an equal distribution of values both above and below the mean.

If the mean, mode, and median are all equal, the population has a perfectly normal distribution.

02

Explanation 

Normal probability plots will have a roughly linear pattern (points will lie on a line), which means the data will be approximately normally distributed.

Therefore, the measurements will not be approximately normally distributed.

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Most popular questions from this chapter

Each year, about 1.5million college-bound high school juniors take the PSAT. In a recent year, the mean score on the Critical Reading test was 46.9and the standard deviation was10.9. Nationally, 5.2%of test takers earned a score of 65 or higher on the Critical Reading test鈥檚 20to 80scale.9

PSAT scores Scott was one of 50junior boys to take the PSAT at his school. He scored 64on the Critical Reading test. This placed Scott at the 68th percentile within the group of boys. Looking at all 50boys鈥� Critical Reading scores, the mean was 58.2and the standard deviation was 9.4

(a) Write a sentence or two comparing Scott鈥檚 percentile among the national group of test-takers and among the 50boys at his school.

(b) Calculate and compare Scott鈥檚 z-score among these same two groups of test-takers.

Shopping spree The figure below is a cumulative relative frequency graph of the amount spent by

50 consecutive grocery shoppers at a store.

(a) Estimate the interquartile range of this distribution. Show your method.

(b) What is the percentile for the shopper who spent $19.50?

(c) Challenge: Draw the histogram that corresponds to this graph.

Density curves Sketch a density curve that might describe a distribution that is symmetric but has two peaks.

T2.8. Which of the following is not correct about a standard Normal distribution?
(a) The proportion of scores that satisfy 0<z<1.5is 0.4332.
(b) The proportion of scores that satisfy z<-1.0is 0.1587.
(c) The proportion of scores that satisfy z>2.0is 0.0228.
(d) The proportion of scores that satisfy z<1.5is 0.9332.
(e) The proportion of scores that satisfyz>-3.0is 0.9938.

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

(a) The 10th percentile.

(b) 34% of all observations are greater thanz.
See all solutions

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