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 (60 seconds) has passed. Forty students yielded a sample mean of 59.2 seconds. Assuming that

seconds, construct and interpret a 90% confidence interval estimate of the population mean of all students. What is the 90% confidence interval for the population mean u? Based on the result is it likely that the student's estimate have a mean that is reasonably close to 60 seconds? a. yes, because the confidence interval includes 60 seconds. B. no because it doesn't include 60 seconds. C. no because it includes 60 seconds. D. yes because it doesn't include 60 seconds

Explanation / Answer

Ans:

n=40

sigma=9.4

sample mean=59.2

90% confidenec interval for population mean

=59.2+/-1.645*(9.4/sqrt40))

=59.2+/-2.44

=(56.76, 61.64)

yes, because the confidence interval includes 60 seconds

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