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`