Chapter 8.3, Problem 65E

a)

To determine

To explain whether the conditions for calculating a confidence interval for the population mean.

Answer to Problem 65E

The condition of random sample is not met.

Explanation of Solution

Given:

n=32

The population of all students.

The members of AP statistics class is chooses as per convenience and therefore it could not be random sample. Hence the condition of random sample not met.

The sample should be less than 10% of the population. Here, 32students are less than 10% of the all students. Hence, this condition met.

The sample size is 32 which is greater than 30 so sample size is larger. Therefore, larger sample size condition satisfied.

b)

To determine

To explain whether the conditions for calculating a confidence interval for the population mean.

Answer to Problem 65E

All the conditions are met.

Explanation of Solution

Given:

n=100

The population of all home sales in the city.

The home sales were randomly selected so it is random sample. The condition of random sample met.

The sample should be less than 10% of the population. Here, 100 students are less than 10% of all population of home sales in the city. Hence, this condition met.

The sample size is 100 which is greater than 30 so sample size is larger. Therefore, larger sample size condition satisfied.