# 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 deviat

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?

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