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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

Run fast Peter is a star runner on the track team. In the league championship meet, Peter records a time that would fall at the 80th percentile of all his race times that season. But his performance places him at the 50th percentile in the league championship meet. Explain how this is possible. (Remember that lower times are better in this case!)

The distribution of heights of adult American men is approximately Normal with mean of 69inches and a standard deviation of 2.5inches. Draw a Normal curve on which this mean and standard deviation are correctly located. (Hint: Draw the curve first, locate the points where the curvature changes, and then mark the horizontal axis.

(a) What per cent of men are taller than 74inches?

(b) Between what heights do the middle 95%of men fall?

(c) What per cent of men are between 64and 66.5inches tall?

(d) A height of 71.5inches corresponds to what percentile of adult male American heights?
Now suppose that you convert the class鈥檚 heights to z-scores. What would be the shape, center, and spread of this distribution? Explain.

Tall or short? Refer to Exercise 19. Mr. Walker converts his students鈥� original heights from inches to feet.

(a) Find the mean and median of the students鈥� heights in feet. Show your work.

(b) Find the standard deviation and IQR of the students鈥� heights in feet. Show your work.

R2.6 Horse pregnancies Bigger animals tend to carry their young longer before birth. The length of horse pregnancies from conception to birth varies according to a roughly Normal

distribution with a mean of 336 days and a standard deviation of 3 days. Use the 68-95-99.7 rule to answer the following questions.

(a) Almost all (99.7%)horse pregnancies fall in what range of lengths?

(b) What percent of horse pregnancies are longer than 339 days? Show your work.
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