4. According to past records, the average project completion time for a specific type of project of a construction company is 32 weeks with a standard deviation of 12 weeks. A random sample of 36 projects of similar type was selected from the records of the company. (a) Which type of distribution will the sample mean project completion time follow and what is the mean and standard deviation of this distribution? (b) What is the probability that the sample mean project completion time will be greater than 30 weeks? (c) After doing some analysis with the sample, the project manager wishes to set a time T (in week) as the deadline for all future similar types of projects. If it is expected that the probability that the sample mean project completion time will not exceed time T is 90%, find the value of T.
4. According to past records, the average project completion time for a specific type of project of a construction company is 32 weeks with a standard deviation of 12 weeks. A random sample of 36 projects of similar type was selected from the records of the company. (a) Which type of distribution will the sample mean project completion time follow and what is the mean and standard deviation of this distribution? (b) What is the probability that the sample mean project completion time will be greater than 30 weeks? (c) After doing some analysis with the sample, the project manager wishes to set a time T (in week) as the deadline for all future similar types of projects. If it is expected that the probability that the sample mean project completion time will not exceed time T is 90%, find the value of T.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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
Transcribed Image Text:According to past records, the average project completion time for a specific type of
project of a construction company is 32 weeks with a standard deviation of 12 weeks.
A random sample of 36 projects of similar type was selected from the records of the
4.
company.
(a) Which type of distribution will the sample mean project completion time follow
and what is the mean and standard deviation of this distribution?
(b) What is the probability that the sample mean project completion time will be
greater than 30 weeks?
(c) After doing some analysis with the sample, the project manager wishes to set a
time T (in week) as the deadline for all future similar types of projects. If it is
expected that the probability that the sample mean project completion time will
not exceed time T is 90%, find the value of T.
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