1. The mean width of a male heads in a population has a standard deviation of 1

Question

1. The mean width of a male heads in a population has a standard deviation of 1 inch and is approximately normally distributed. You randomly select 100 males and find they have a mean width of 5.9 inches? aWhat is the 95% confidence interval for the true mean head width of the population? bThe mean width of a male heads in a population has a standard deviation of 1 inch and is approximately normally distributed. You randomly select 100 males and find they have a mean width of 5.9 inches? What is the 95% confidence interval for the true mean head width of the population?

Explanation / Answer

here sample mean =5.9

std error of mean =std deviation/(n)1/2 =1/(100)1/2 =0.1

for 95% confidence level; critical value of z =1.96

therefore95% confidence interval =sample mean -/+ z*std error =5.704 ; 6.096

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