Category:
Mathematics

Question 9.15

The manager of a paint supply store wants to determine

whether the mean amount of paint contained in I-gallon

cans purchased from a nationally known manufacturer is

actually 1gallon. You know from the manufacturer’s specifications

that the standard deviation of the amount of paint is

0.02 gallon. YIilU select a random sample of 50 cans, and the

mean amount of paint per I-gallon can is 0.995 gallon.

a. Is there evidence that the mean amount is different from

1.0 gallon (use IX 0.0 1)7

b. Compute the p-value and interpret its meaning.

c. Construct a 99% confidence interval estimate of the population

mean amount of paint.

d. Compare the results of (a) and (c). What conclusions do

you reach?