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Chapter 10: Q. 43 (page 666)

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 chose independent random samples of 50students from each country. Here is a dot-plot of the household sizes reported by the students in the survey:

Let 渭UK = 渭UK=the true mean number of people living in U.K. households and role="math" localid="1664190023788" 渭SA=the true mean number of people living in South African households. Check if the conditions for calculating a confidence interval for 渭UK鈭捨糞A渭UK-渭SA are met.

Short Answer

Expert verified

All conditions are met.

Step by step solution

01

Step 1. Given information

Given:

02

Step 2. Calculation

We have to check if the conditions are met or not. Therefore,

There are three conditions to be satisfied:

Random: It is satisfied because the samples are independent random samples.

Independent: It is satisfied because it is given that the sample are independent and the sample size is less than10% of the population size.

Normal: It is not satisfied because the sample size of both the samples50 is at least 30.

Thus, all the conditions are satisfied.

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