Question

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 manufacture is actually 1 gallon. You know from the manufactures specification that the standard deviation of the amount of paint is 0.02 gallon. You select a random sample of 50 cans, and the mean amount of painter per 1-gallon can is 0.995.

(a) Conduct a hypothesis test to determine whether or not there’s enough evidence to conclude that the mean paint amount is different than 1.0 gallon by doing the following:

i. List the null and alternate hypotheses

ii. Find the value of the test statistic. iii. List the decision rule. (Use α = 0.01.)

iv. Answer the following question in a complete sentence for your conclusion: Is there evidence that the mean amount is different from 1.0 gallon? Why or why not (refer to the decision rule here)?

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

(c) Construct a 99% confidence interval estimate of the population mean amount of paint.

Answer #1

The manager of a paint supply store wants to estimate the actual
amount of paint contained in 1-gallon cans purchased from a
nationally known manufacturer. The manufacturer's specifications
state that the standard deviation of the amount of paint is equal
to 0.01 gallon. A random sample of 50 cans is selected, and the
sample mean amount of paint per 1-gallon can is 0.996 gallon.
Complete parts (a) through (d).
d. Construct a 90% confidence interval estimate. How does this
change...

The manager of a paint supply store wants to estimate the actual
amount of paint contained in 1-gallon cans purchased from a
nationally known manufacturer. The manufacturer's specifications
state that the standard deviation of the amount of paint is equal
to 0.01 gallon. A random sample of 50 cans is selected, and the
sample mean amount of paint per 1-gallon can is 0.996 gallon.
Complete parts (a) through (d). a. Construct a 95% confidence
interval estimate for the population mean...

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nationally known water bottling company is actually 1 gallon. You
know from the water bottling company specifications that the
standard deviation of the amount of water per bottle is 0.03
gallon. You select a random sample of 100 bottles, the mean amount
of water per 1-gallon bottle is 0.994 gallon.
a. Is there evidence that the mean amount is different...

A bottled water distributor wants to determine whether the mean
amount of water contained in 1-gallon bottles purchased from a
nationally known water bottling company is actually 1 gallon. You
know from the water bottling company specifications that the
standard deviation of the amount of water is
.03 gallon. You select a random sample of 50 bottles, and the
mean amount of water per 1-gallon bottle is 0.993 gallon. Complete
parts (a) through (d) below.
a. Is there evidence that...

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The manager of a gasoline supply corporation wants to estimate
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The manager of a gasoline supply corporation wants to estimate
the actual amount of gasoline contained in standard 42-gallon
barrels purchased from a nationally known manufacturer. The
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