1. Confidence Interval Given. Assume I created a 95% confidence interval for the

Question

1. Confidence Interval Given. Assume I created a 95% confidence interval for the mean hours studied for a test based on a random sample of 100 students. The lower bound of this interval was 5 and the upper bound was 11. Assume that when I created this interval I knew the population standard deviation. Using this information, (a) Calculate the width of the interval (b) Calculate the margin of error for the interval. c)Calculate the center of the interval. d) What is the sample mean? (e) Calculate the population standard deviation. Round to 3 decimal places.]

Explanation / Answer

a)width of interval =(upper bound-lower bound) =(11-5) =6

b) margin of error =width /2 =6/2 =3

c) center of the interval =(upper bound+lower bound)/2 =(5+11)/2 =8

d) sample mean =center of interval =8

e) for 95% CI ;z =1.96

here std deviation =margin of error *(n)1/2/z =3*(100)1/2/1.96 =15.306

please revert for any clarification

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