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A random sample of 16 students in the School of Economics and Finance was taken to estimate average daily commuting time for all the students. Suppose that the population times have a normal distribution with a mean of 87 minutes and a standard deviation of 22 minutes. a) Find the probability that the average daily commuting time is fewer than 100 minutes. Also, find the probability that it is outside the range of 85 to 95 minutes.

A random sample of 16 students in the School of Economics and Finance was taken to estimate average daily commuting time for all the students. Suppose that the population times have a normal distribution with a mean of 87 minutes and a standard deviation of 22 minutes. a) Find the probability that the average daily commuting time is fewer than 100 minutes. Also, find the probability that it is outside the range of 85 to 95 minutes.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A random sample of 16 students in the School of Economics and Finance was taken to estimate average daily commuting time for all the students. Suppose that the population times have a normal distribution with a mean of 87 minutes and a standard deviation of 22 minutes. a) Find the probability that the average daily commuting time is fewer than 100 minutes. Also, find the probability that it is outside the range of 85 to 95 minutes. b) Suppose that a second independent random sample of 50 students is taken. Without doing the calculations, explain whether the probabilities in part (a) would be higher, lower, or the same for the second sample. Justify your answer.
Transcribed Image Text:A random sample of 16 students in the School of Economics and Finance was taken to estimate average daily commuting time for all the students. Suppose that the population times have a normal distribution with a mean of 87 minutes and a standard deviation of 22 minutes. a) Find the probability that the average daily commuting time is fewer than 100 minutes. Also, find the probability that it is outside the range of 85 to 95 minutes. b) Suppose that a second independent random sample of 50 students is taken. Without doing the calculations, explain whether the probabilities in part (a) would be higher, lower, or the same for the second sample. Justify your answer.
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