1) It has been found that times taken by people to complete a particular tax form follow a normal distribution with a mean of 100 minutes and a standard deviation of 30 minutes. A random sample of nine people who have completed this tax form was taken. a) What is the probability that the sample mean time taken is less than 85 minutes? b) The probability is 0.01 that the sample standard deviation of time taken is less than how many minutes?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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1) It has been found that times taken by people to complete a particular tax form follow a normal
distribution with a mean of 100 minutes and a standard deviation of 30 minutes. A random
sample of nine people who have completed this tax form was taken.
a) What is the probability that the sample mean time taken is less than 85 minutes?
b) The probability is 0.01 that the sample standard deviation of time taken is less than how
many minutes?
Transcribed Image Text:1) It has been found that times taken by people to complete a particular tax form follow a normal distribution with a mean of 100 minutes and a standard deviation of 30 minutes. A random sample of nine people who have completed this tax form was taken. a) What is the probability that the sample mean time taken is less than 85 minutes? b) The probability is 0.01 that the sample standard deviation of time taken is less than how many minutes?
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