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Chapter 8: Q 65. (page 542)

Check them all Determine if the conditions are met for constructing a confidence interval for the population mean in each of the following settings.

a. How much time do students at your school spend on the Internet? You collect data from the 32members of your AP Statistics class and calculate the mean amount of time that these students spent on the Internet yesterday.

b. Is the real-estate market heating up? To estimate the mean sales price, a realtor in a large city randomly selected 100home sales from the previous 6months in her city. These sales prices are displayed in the boxplot.

Short Answer

Expert verified

a. Random Sample condition is not met.

b. All conditions are satisfied.

Step by step solution

01

Part (a) Step 1: Given Information

It is given that n=32

Population is of all students.

02

Part (a) Step 2: Explanation

Random: AP Statistics is chosen as per requirement. It can never be random sample.

Less than 10%of population: 32students are less than 10%of students. This condition is not satisfied.

Sample Size: 32>30, sample size is larger. Condition of large sample size is satisfied.

Condition of Random sample is not met.

03

Part (b) Step 1: Given Information

It is given that n=100

Population is of all home sales in city.

04

Part (b) Step 2: Explanation

Random: Home sales are to be selected randomly. Hence, this condition is satisfied.

Less than 10% of population: 100<10%of all population. This is also satisfied.

Large Sample Size: 100>30, this condition is also met.

All conditions are satisfied.

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Most popular questions from this chapter

Judy is interested in the reading level of a medical journal. She records the length of a random sample of100words. The histogram displays the distribution of word length for her sample. Determine if the Normal/Large Sample condition is met in this context.

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