Question

A simple random sample of 75 U.S. college students had a mean age of 22.21 years. Assume the population standard deviation is o=4.42 years. Construct a 95% confidence interval for the mean age of U.S. college students. Round the answers to at least two decimal places.

Answer 1

To construct a 95% confidence interval for the mean age of U.S. college students, you can use the formula: Confidence Interval = (sample mean) ± (critical value) × (standard deviation / square root of sample size). Given the mean age of the sample, population standard deviation, and sample size, you can calculate the confidence interval.

Step-by-step explanation:

To construct a 95% confidence interval for the mean age of U.S. college students, we can use the formula:

Confidence Interval = (sample mean) ± (critical value) × (standard deviation / square root of sample size)

Given that the mean age of the sample is 22.21 years, the population standard deviation is 4.42 years, and the sample size is 75, we can calculate the confidence interval as follows:

Confidence Interval = 22.21 ± (1.96) × (4.42 / √75) = 22.21 ± 1.08

Rounded to two decimal places, the 95% confidence interval for the mean age of U.S. college students is 21.13 to 23.29 years.