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A test on a random sample of 26 tricornes (i.e., pirate hats) yielded a sample average...

A test on a random sample of 26 tricornes (i.e., pirate hats) yielded a sample average length of 23 inches and a sample standard deviation of 1.5 inches. Assume that tricorne length is normally distributed. How many total samples are needed to construct a 95% confidence interval that differs from the sample mean by at most 0.5 inches?

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Answer #1
for 95 % CI value of z= 1.960
standard deviation σ= 1.50
margin of error E = 0.5
required sample size n=(zσ/E)2                                         = 35.0
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