A company that manufactures bookcases finds that the average time it takes an em

Question

A company that manufactures bookcases finds that the average time it takes an employee to build a bookcase in 5 hours with a standard deviation of 1/2 hours. A random sample of 64 employees is taken. What is the likelihood that the sample mean will be 4 hours or more?
Show all calculations and provide commentary to your answer.
A company that manufactures bookcases finds that the average time it takes an employee to build a bookcase in 5 hours with a standard deviation of 1/2 hours. A random sample of 64 employees is taken. What is the likelihood that the sample mean will be 4 hours or more?
Show all calculations and provide commentary to your answer.
A company that manufactures bookcases finds that the average time it takes an employee to build a bookcase in 5 hours with a standard deviation of 1/2 hours. A random sample of 64 employees is taken. What is the likelihood that the sample mean will be 4 hours or more?
Show all calculations and provide commentary to your answer.

Show all calculations and provide commentary to your answer.

Explanation / Answer

=5

=1/2 =0.5

n=64

x=4

z=(x-)/(/n)

=(4-5)/(0.5/64)

=-1/(0.5/8)

=-1/0.0625

=-16

P(x>4) =P(z>-16)

              =1-P(z<-16)

              =1-0

              =1

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