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Chapter 10: Q. 39 (page 652)

39. Shoes How many pairs of shoes do teenagers have? To find out, a group of AP Statistics students conducted a survey. They selected a random sample of 20female students and a separate random sample of 20male students from their school. Then they recorded the number of pairs of shoes that each respondent reported having. The back-to-back stemplot below displays the data.

Short Answer

Expert verified

The Normal requirement is not met.

Step by step solution

01

Given information

To find a group of AP Statistics students conducted by a random sample of 20female students and a separate random sample of 20 male students from their school.

02

Explanation

Random, Normal, and Independent are the requirement for two-sample tanalysis.
Because the range for "Males" is skewed and the matching sample size is less than 30, the Normal requirement is not met.

Hence, the Normal requirement is not met.

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Most popular questions from this chapter

The level of cholesterol in the blood for all men aged 20to 34follows a Normal distribution with mean 188milligrams per deciliter (mg/dl) and a standard deviation 41mg/dl. For 14-year-old boys, blood cholesterol levels follow a Normal distribution with a mean 170mg/dl and a standard deviation of 30mg/dl.

(a) Let M =the cholesterol level of a randomly selected 20to 34-year-old man and B =the cholesterol level of a randomly selected 14-year-old boy. Describe the shape, center, and spread of the distribution ofM-B

(b) Find the probability that a randomly selected 14-year-old boy has higher cholesterol than a randomly selected man aged 20to34. Show your work.

Coaching and SAT scores (10.2) What we really want to know is whether coached students improve more than uncoached students and whether any advantage is large enough to be worth paying for. Use the information above to answer these questions:

(a) Is there good evidence that coached students gained more on average than uncoached students? Carry out a significance test to answer this question.

(b) How much more do coach students gain on the average? Construct and interpret a 99% confidence interval.

(c) Based on your work, what is your opinion: do you think coaching courses are worth paying for?

Looking back on love How do young adults look back on adolescent romance? investigators interviewed couples in their mid-twenties. The female and male partners were interviewed separately. Each was asked about his or her current relationship and also about a romantic relationship that lasted at least two months when they were aged 15or16 . One response variable was a measure on a numerical scale of how much the attractiveness of the adolescent partner mattered. You want to compare the men and women on this measure.

Refer to Exercise16.

(a) Carry out a significance test at the α=0.05level.

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