Question

A class survey in a large class for first-year college students asked, "About how many hours do you study in a typical week?". The mean response of the 460 students was x¯¯¯x¯ = 16 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation 8 hours in the population of all first-year students at this university.

What is the 99% confidence interval (±±0.001) for the population mean?

Confidence interval is from to hours.

Answer #1

Given that, population standard deviation = 8 hours

sample size (n) = 460 and sample mean = 16 hours

A 99% confidence level has significance level of 0.01 and critical value is,

The 99% confidence interval for the population mean is,

Therefore, required confidence interval is from
**15.039** to **16.961** hours

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