21. Randomly selected students participated in an experiment to test their abili

Question

21. 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 61.4 seconds. Assuming that =8.4 seconds, construct and interpret a 99% 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 table2 What is the 99% confidence interval for the population mean ? SHe Type integers or decimals rounded to one decimal place as needed.) Based on the result, is it likely that the students' estimates have a mean that is reasonably close to sixty seconds? o A. Yes, because the confidence interval does not include sixty seconds. O B. Yes, because the confidence interval includes sixty seconds O C. No, because the confidence interval includes sixty seconds. 0 D. No, because the confidence interval does not include sixty seconds. 1: Critical t values

Explanation / Answer

Mean = 61.4

Sd = 8.4

Z for 99% confidence interval = Z0.995 = 2.58

A) confidence interval = (mean + Z0.995 * sd/sqrt (n))

= (61.4 + 2.58 * 8.4 / sqrt (40))

= (61.4 + 3.4)

= 58 < mu < 64.8

B) Option-C)

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