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.
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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