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

ID: 3225758 • Letter: R

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 59.3 seconds. Assuming that sigma = 11.8 seconds, construct and interpret a 95% confidence interval estimate of the population mean of all students. Click here to view at 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

n = 40 , mean = 59.3 , s = 11.8
t value at 95% CI = +/-2.023

CI = mean + / - t * ( s /sqrt(n))
= 59.3 + / - 2.023 *(11.8 / sqrt(40))
=(55.5 , 63.1)
55.5 < mu < 63.1

Answer is option c)