a bottled water distributor wants to estimate the amount of water contained in 1

Question

a bottled water distributor wants to estimate the amount of water contained in 1 - gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. A random sample of 50 bottles is selected, and the sample mean of the water per 1 - gallon bottle is 0.991 gallon.

a. construct a 99% confidence interval estimate for the population mean of water included in a 1 - gallon bottle.

d. Construct a 95% confidence interval estimate. How does this change your answer to (b)?

Explanation / Answer

a) here std error of mean =std deviation/(n)1/2 =0.02/(50)1/2 =0.0028

for 99% CI ; Z =2.5758

hence  99% confidence interval estimate for the population mean =sample mean -/+ z*std error =0.9837 ; 0.9983

d)

for 95% CI ; z =1.96

95% confidence interval estimate for the population mean =sample mean -/+ z*std error =0.9855 ;0.9965

please reply if there are other subparts needed,

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