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Chapter 2: Q R2.9. (page 148)

Assessing Normality Catherine and Ana gave an online reflex test to33 varsity

athletes at their school. The following Normal probability plot displays the data on reaction times (in milliseconds) for these students. Is the distribution of reaction times for these athletes approximately Normal? Why or why not?

Short Answer

Expert verified

Not approximately normal.

Step by step solution

01

Given information

The figure is:

02

Explanation

Around a reaction time of 200ms, there is a considerable curvature in the normal probability lot, indicating that the pattern in the Normal probability plot is not substantially linear. This suggests, however, that the distribution is not approximately normal. Because the pattern is concave up on the left side of the normal probability plot, the distribution seems to be slightly skewed to the right.

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Most popular questions from this chapter

Comparing bone density Refer to Exercise 17 Judy鈥檚 friend Mary also had the bone density in her hip measured using DEXA. Mary is 35 years old. Her bone density is also reported as 948g/cm2 but her standardized score is z=0.50 The mean bone density in the hip for the reference population of 35-year-old women is 944grams/cm2

a. Whose bones are healthier for her age: Judy鈥檚 or Mary鈥檚? Justify your answer.

b. Calculate the standard deviation of the bone density in Mary鈥檚 reference population. How does this compare with your answer to Exercise 17(b)? Are you surprised?

When Sam goes to a restaurant, he always tips the server \(2plus10%of the cost of the meal. If Sam鈥檚 distribution of meal costs has a mean of \)9 and a standard deviation of \(3what are the mean and standard deviation of his tip distribution?

a. \)2.90,\(0.30

b. \)2.90,\(2.30

c. \)9.00,\(3.00

d. \)11.00,\(2.00

e. \)2.00,$0.90

A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams. Based on this report, what is the approximate standard deviation of weight for this species of cockroaches?

a.4.6b.5.0c.6.2d.14.0

e. Cannot determine without more information.

The weights of laboratory cockroaches can be modeled with a Normal distribution having mean 80 grams and standard deviation 2 grams. The following figure is the Normal curve for this distribution of weights.

Point C on this Normal curve corresponds to

a.84grams.b.82grams.c.78grams.d.76grams.e.74grams.

Runners鈥� heart rates The following figure is a Normal probability plot of the heart rates of 200male runners after 6 minutes of exercise on a treadmill.14 Use the graph to determine if this distribution of heart rates is approximately Normal.
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