A random sample of 16 students in the School of Economics and Finance was taken to estimate averagedaily commuting time for all the students. Suppose that the population times have a normal distributionwith 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, findthe 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 thecalculations, explain whether the probabilities in part (a) would be higher, lower, or the same forthe second sample. Justify your answer.

The provided information is n=16 µ=87 σ=22 a.…

Answered: A random sample of 16 students in the…

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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The average age of the JYP employees is known to be 32 years and the standard deviation is 5 years. Find the probability that a random sample of 36 employees will have an average age of less than 30 years. What is the probability of 36 employees who have an average age of less than 30 years?
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