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A sample of size n is to be taken from a large population having a standard devi

ID: 3224117 • Letter: A

Question

A sample of size n is to be taken from a large population having a standard deviation of 10 minutes. Find the required sample size needed to estimate by using the sample mean, so that the reliability of 0.95 is achieved and the tolerable error does not exceed 1.7 minute.

Identify:         = _____                    = _____ minutes                 e = _____minutes

List the formula for estimating the required sample size for a given tolerable error.

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Estimate the required sample size for a reliability of 0.95 and a given tolerable error of 1.5 minutes.

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Explanation / Answer

=0.05 ; = 10 ;   e =1.7 minutes

for 95% CI, z=1.96

hence sample size n= (z*/e)2  =~133

for e=1.5

sample size n= (z*/e)2  =~171

please revert

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