Question

A survey of 23 college freshmen found that they average 6.33 hours of sleep each night. A 95% confidence interval had a margin of error of 0.499. Calculate the lower and upper limits of the confidence interval.

Answer 1

The lower and upper limits of the 95% confidence interval for the average amount of sleep college freshmen get are 5.831 hours and 6.829 hours, respectively.

Step-by-step explanation:

To calculate the lower and upper limits of the 95% confidence interval for the average hours of sleep among college freshmen, we need to subtract and add the margin of error to the sample mean, respectively. The sample mean given is 6.33 hours, and the margin of error is 0.499 hours.

We calculate the lower limit by subtracting the margin of error from the mean:

6.33 - 0.499 = 5.831.

The upper limit is calculated by adding the margin of error to the mean:
6.33 + 0.499 = 6.829.

Therefore, the 95% confidence interval for the mean amount of sleep is from 5.831 hours to 6.829 hours.