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Chapter 10: Q. 40 (page 652)

40. Household size How do the numbers of people living in households in the United Kingdom (U.K.) and South Africa compare? To help answer this question, we used Census At School’s random data selector to choose independent samples of 50 students from each country. Here is a Fathom dotplot of the household sizes reported by the students in the survey.

Short Answer

Expert verified

All requirements (Random, Normal, and Independent) have been met.

Step by step solution

01

Given information

A School’s random data selector to choose independent samples of 50 students from each country.

02

Explanation

Random, Normal, and Independent are the requirements for two-sample t methods.

Random: Because the data was obtained, utilizing the random data selector, which is satisfied.
Normal: Satisfied, that both samples (50)have a sample size of at least 30.
Independent: Satisfied since the samples are independent and the sample size is less than 10% of the total population size.
As a result, all conditions have been met.

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Most popular questions from this chapter

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.

Refer exercise 35.Suppose we select independent SRSs of 25men aged 20to 34and 36boys aged 14and calculate the sample mean heights xMand xB.

(a) Describe the shape, center, and spread of the sampling distribution ofxM-xB.

(b) Find the probability of getting a difference in sample means xM-xBthat’s less than0mg/dl. Show your work.

(c) Should we be surprised if the sample mean cholesterol level for the 14-year-old boys exceeds the sample mean cholesterol level for the men? Explain.

Many new products introduced into the market are targeted toward children. The choice behavior of children with regard to new products is of particular interest to companies that design marketing strategies for these products. As part of one study, randomly selected children in different age groups were compared on their ability to sort new products into the correct product category (milk or juice). Here are some of the data:

Age groupNNumber who sorted correctly4- to 5-year-olds50106- to 7-year-olds5328

Are these two age groups equally skilled at sorting? Use information from the Minitab output below to support your answer.

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.

Based on your answer to Question 1.3, would you be surprised if the difference in the mean amount of liquid dispensed in the two samples was12ounces? Explain
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