Randomly selected students participated in an experiment to test their ability t

Question

Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds) has passed. Forty students yielded a sample mean of 59.1 seconds. Assuming that Sigma = 10.9 seconds, Construct and interpret a 95% confidence interval estimate of the population mean of all students. Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the 95% confidence interval for the population mean Mu?

Explanation / Answer

Given a=0.05, Z(0.025) = 1.96 (from standard normal table)

So 95% confidence interval is

xbar +/- Z*s/vn

--> 59.1 +/- 1.96*10.9/sqrt(40)

--> (55.7, 62.5)

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