Question

The mean number of hours of study time per week for a sample of 559 students is 23. The margin of error for the population mean with a 99% confidence interval is 1.7 construct a 99% confidence interval for the mean number of hours of study time per week for all students

Answer 1

Given that:

- The mean number of hours of study time per week for a sample of 559 students is:

$\bar{x}=23$

- The margin of error for the population mean with a 99% confidence interval is:

$E=1.7$

The Confidence Interval for the Mean Formula is:

$\bar{x}\pm E$

Therefore, knowing the values of the mean and the margin of error, you get:

$Lower\text{ }endpoint=23-1.7=21.3$$Upper\text{ }endpoint=23+1.7=24.7$

Hence, the answer is:

$Lower\text{ }endpoint:21.3$$Upper\text{ }endpoint:24.7$