1.

Provide an appropriate response.

The lengths of pregnancies are normally distributed with a mean of 271 days and a standard deviation of 20 days. If 64 women are randomly selected, find the probability that they have a mean pregnancy between 271 days and 273 days.

0.2119

0.5517

0.7881

0.2881

2.

Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution.

The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.6 years and a standard deviation of 1.9 years. Random samples of size 18 are drawn from the population and the mean of each sample is determined.

1.32 years, 0.45 years

5.6 years, 0.45 years

1.32 years, 1.9 years

5.6 years, 0.11 years

3.

Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution.

The monthly rents for studio apartments in a certain city have a mean of $1100 and a standard deviation of $170. Random samples of size 30 are drawn from the population and the mean of each sample is determined.

$200.83, $31.04

$200.83, $170

$1100, $5.67

$1100, $31.04