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ID: 3317487 • Letter: I

Question

i safari File Edit View History Bookmarks Window Help 55%Cs} Wed 4:27 PM E What Are The Correct Answers?? Thank You!! Connect Chapter 9 6 Saved Help Save & Exit Submit 41 PM Check my work Bob Nale is the owner of Nale's Quick Fill Bob would like to estimate the mean number of gallons of gasoline sold to his customers. Assume the number of gallons sold follows the normal distribution with a population standard deviation of 190 gallons. From his records, he selects a random sample of 75 sales and finds the mean number of gallons sold is 5.40 een Shot 12..17.44 PM points a. What is the point estimate of the population mean? (Round your answer to 2 decimal places.) een Shot 12...20.32 PM eBook Print Reterences een Shot 12...0.38 PM b. Develop a 99% confidence interval for the population mean. (use z Distribution Table.) (Round your answers to 2 decimal places.) cen Shot 2...22.25 PM een Shot 2...22.27 PM Reference links Confidence Intervals for a Ponulation MeAn een Shot 12...4.44 PM Prev 1 of 5 Next > 6

Explanation / Answer

Mean is 5.4 and s is 1.9

for sample size of 75, the standard error SE is s/sqrt(N)=1.9/sqrt(75)=0.2194

a) point estimate is same as 5.4

b) for 99% confidence the z value is 1.96

thus the lower bound is mean-z*SE =5.4-1.96*0.2194=4.97

upper bound is mean+z*SE =5.4+1.96*0.2194=5.83