SOLUTION: A sample of 400 Male is found to have a mean height 171.40cm.can it be reasonably regarded as a sample from Large population with mean height 171.20cm and standard deviation 3.3?

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Question 1174642:
A sample of 400 Male is found to have a mean height 171.40cm.can it be reasonably regarded as a sample from Large population with mean height 171.20cm and standard deviation 3.3? Test at 5% level of significance

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sigma/sqrt(n)
=(171.4-171.20)/3.3/sqrt(400)
=0.2*20/3.3
=1.21
The probability of z being at or greater than 1.21 is 0.113
This is greater than 5%, so yes, it is reasonable to regard this sample from that population.