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Chapter 2: Q 1.2. (page 89)

Mrs. Munson is concerned about how her daughter’s height and weight compared with those of other girls of the same age. She uses an online calculator to determine that her daughter is at the 87th percentile for weight and the 67th percentile for height. Explain to Mrs. Munson what this means.

Questions 3 and 4 relate to the following setting. The graph displays the cumulative relative frequency of the lengths of phone calls made from the mathematics department office at Gabaldon High last month.

Short Answer

Expert verified

Mrs. Munson's daughter is 87 percent heavier than other girls her age and 67 percent larger than other girls her age.

Step by step solution

01

Step 1. Given

Mrs. Munson's daughter is in the 87th percentile for weight and the 67th percentile for height, according to the online calculator.

02

Step 2. Concept

The pth percentile of a distribution is the value with p percent of the observations less than it.

03

Step 3. Explanation

This indicates Mrs. Munson's daughter is 87percent heavier than other girls her age and 67 percent larger than other girls her age.

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Most popular questions from this chapter

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?

Gas it up! (1.3) Interested in a sporty car? Worried that it might use too much gas? The Environmental Protection Agency lists most such vehicles in its “two-seater” or “minicompact” categories. The figure shows boxplots for both city and highway gas mileages for our two groups of cars. Write a few sentences comparing these distributions.

Shoes How many pairs of shoes do students have? Do girls have more shoes than boys? Here are data from a random sample of 20 female and 20 male students at a large high school:

(a) Find and interpret the percentile in the female distribution for the girl with 22pairs of shoes.

(b) Find and interpret the percentile in the male distribution for the boy with 22 pairs of shoes.

(c) Who is more unusual: the girl with22 pairs of shoes or the boy with 22 pairs of shoes? Explain.

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.
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(e) The proportion of scores that satisfyz>-3.0is 0.9938.

Estimating SD The figure at top right shows two Normal curves, both with mean 0. Approximately what is the standard deviation of each of these curves?
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