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## Explanation & Answer

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HW 8 - Hypothesis testing for the Mean

Question 5.

The manager of a paint supply store wants to determine whether the mean amount of paint

contained in 1-gallon cans purchased from a nationally known manufacturer is actually 1 gallon. You

know from the manufacturer's specifications that the standard deviation of the amount of paint is

0.02 gallon. You select a random sample of 55 cans, and the mean amount of paint per 1-gallon can

is 0.993 gallon. Complete parts (a) through (d) below.

a. Is there evidence that the mean amount is different from 11.0 gallon? (Use α = 0.05.) Let μ be the

population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1.

H0: μ = 1

H1: μ ≠ 1

What is the test statistic...

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