People are always interested in comparing themselves to others. If you are male,

Question

People are always interested in comparing themselves to others. If you are male, how does the length of your forearm, from elbow to wrist, compare to the average for the population of men? Suppose that the forearm lengths (in centimeters) for a randomly selected sample of 9 men has a sample mean length of 25.5 cm with a sample standard deviation of 1.52 cm. (a) Find a 95% confidence interval for the average forearm length of men. Give your answer to 2 decimal places. (b) Suppose that you assumed that the sample standard deviation was close enough to the population standard deviation and used 1.96 in your calculation of the confidence interval rather than the appropriate t value. What would be the consequence of incorrectly calculating your 95% confidence interval in this way? Choose all that apply The actual confidence level will be larger than 95% The actual confidence level will be smaller than 95%. if we were to sa ple repeatedly and calculate a 95% confidence interval rom each sample usin 1 6 instead o the appropriate t alue, hen the percent o confidencente al that capture the average near m th of all men will be less than 95%. The width of the confidence interval will be too large. There is no problem with using 1.96 because the mean of all sample means is still the true average forearm length of men.

Explanation / Answer

a)

95% confidence interval =24.33 ; 26.67

b)

3rd ption is correct . if we want..........

sample size                n= 9 sample std deviation s= 1.52 standard errror of mean = sx=s/n= 0.5067

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