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Chapter 2: Q 6. (page 104)

Blood pressure Larry came home very excited after a visit to his doctor. He announced proudly to his wife, 鈥淢y doctor says my blood pressure is at the 90th percentile among men like me. That means I鈥檓 better off than about 90% of similar men.鈥� How should his wife, who is a statistician, respond to Larry鈥檚 statement?

Short Answer

Expert verified

Not correct.

Step by step solution

01

Given information

"My doctor says my blood pressure is in the 90th percentile among men like me," he boasted to his wife. That indicates I'm in a better position than roughly 90% of similar males.

02

Concept

The percentile of an individual is the percentage of the distribution that is less than the data value of the individual.

03

Explanation

This assertion is incorrect because her blood pressure is higher than 90% of the population of men her age, as defined by the 90th percentile, and hence her blood pressure is high.

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Most popular questions from this chapter

Multiple choice: Select the best answer. Mark receives a score report detailing his performance on a statewide test. On the math section, Mark earned a raw score of 39, which placed him at the 68th percentile. This means that

(a) Mark did better than about 39% of the students who took the test.

(b) Mark did worse than about 39% of the students who took the test.

(c) Mark did better than about 68%of the students who took the test.

(d) Mark did worse than about 68% of the students who took the test.

(e) Mark got fewer than half of the questions correct on this test.

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

Refrigerators Consumer Reports magazine collected data on the usable

capacity (in cubic feet) of a sample of 36 side-by-side refrigerators. Here are the data:

A histogram of the data and summary statistics are shown here. Is this distribution of refrigerator capacities approximately Normal? Justify your answer based on the graph and the 68鈥�95鈥�99.7 rule.

Deciles The deciles of any distribution are the values at the 10th,20th,鈥�,and 90th percentiles. The first and last deciles are the 10th and the 90th percentiles, respectively. What are the first and last deciles of the standard Normal distribution?

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 shorter times are better in this case!)
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