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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

How much more effective is exercise and drug treatment than drug treatment alone at reducing the rate of heart attacks among men aged 65and older? To find out, researchers perform a completely randomized experiment involving 1000healthy males in this age group. Half of the subjects are assigned to receive drug treatment only, while the other half are assigned to exercise regularly and to receive drug treatment. The most appropriate inference method for answering the original research question is

(a) one-sample z test for a proportion.

(b) two-sample z interval forp1-p2

(c) two-sample z test for p1-p2.

(d) two-sample t interval for 渭1-渭2.

(e) two-sample t-test for 渭1-渭2.

The U.S. Department of Agriculture (USDA) conducted a survey to estimate the average price of wheat in July and in September of the same year. Independent random samples of wheat producers were selected for each of the two months. Here are summary statistics on the reported price of wheat from the selected producers, in dollars per bushel:

Construct and interpret a 99% confidence interval for the difference in the mean wheat price in July and in September.

A large toy company introduces a lot of new toys to its product line each year. The company wants to predict the demand as measured by y, first-year sales (in millions of dollars) using x, awareness of the product (as measured by the proportion of customers who had heard of the product by the end of the second month after its introduction). A random sample of 65new products was taken, and a correlation of 0.96was computed. Which of the following is a correct interpretation of this value?

(a) Ninety-six percent of the time, the least-squares regression line accurately predicts first-year sales.

(b) About 92%of the time, the proportion of people who have heard of the product by the end of the second month will correctly predict first-year sales.

(c) About 92%of first-year sales can be explained by the proportion of people who have heard of the product by the end of the second month.

(d) The least-squares regression line relating the proportion of people who have heard of the product by the end of the second month and first-year sales will have a slope of 0.96.

(e) Ninety-two percent of the variation in first-year sales can be explained by the least-squares regression line with proportion of people who have heard of the product by the end of the second month as the explanatory variable.

DDT in rats Poisoning by the pesticide DDT causes convulsions in humans and other mammals. Researchers seek to understand how convulsions are caused. In a randomized comparative experiment, they compared 6 white rats poisoned with DDT with a control group of 6 unpoisoned rats. Electrical measurements of nerve activity are the main clue to the nature of DDT poisoning. When a nerve is stimulated, its electrical response shows a sharp spike followed by a much smaller second spike. The researchers measured the height of the second spike as a percent of the first spike when a nerve in the rat's leg was stimulated. 78 For the poisoned rats the results were

12.20716.86925.05022.4298.45620.589

The control group data were

11.0749.68612.0649.3518.1826.642

Computer output for a two-sample t-test on these data from software is shown below. (Note that SAS provides two-sided P-values.)

(a) Do these data provide convincing evidence that DDT affects the mean height of the second spike's electrical response? Carry out a significance test to help answer this question.

(b) Interpret the P-value from part (a) in the context

A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that in a school district of a large city. The researcher obtained an SRS of 60high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be 6hours with a standard deviation of 3hours. The researcher also obtained an independent SRS of 40high school students in a large city school district and found the mean time spent in extracurricular activities per week to be 5hours with a standard deviation of 2hours. Suppose that the researcher decides to carry out a significance test ofH0:渭unbartum=渭cinversus a two-sided alternative. T10.5. The correct test statistic is

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(b) t=(6-5)-03260+2240

(c) t=(6-5)-0960+340

(d) z=(6-5)-0360+240

(e)z=(6-5)-03260+2240
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