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 amount of water per 1-gallon bottle is 0.993 gallon.

**A.** Construct a 95% confidence interval
estimate for the population mean amount of water included in a
1-gallon bottle.

**B.** On the basis of these results, do you think
that the distributor has a right to complain to the water bottling
company? Why?

**C.** Must you assume that the population amount
of water per bottle is normally distributed here? Explain.

**D.** Construct a 90% confidence interval
estimate. How does this change your answer to part (b)? How does
this change your answer to part (b)?

Answer #1

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 amount of water per 1-gallon bottle
is 0.979 gallon.
a. Construct a 95% confidence interval estimate for the
population mean amount of water included in...

A bottled water distributor wants to estimate the amount of
water contained in 11-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 0.040.04 gallon. A random sample of 5050 bottles
is selected, and the sample mean amount of water per 11-gallon
bottle is 0.992 gallon. COMPLETE PARTS (a) THROUGH
(d).
a. Construct a 99% confidence interval
estimate for the population mean...

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 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...

If the manager of a bottled water distributor wants to
estimate, with 95% confidence, the mean amount of water in a
1-gallon bottle to within ±0.002 gallons and also assumes that the
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needed?

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...

1. Bottled water distributors want to determine whether the
contents of the 1 gallon bottle are actually 1 gallon. It is known
from the specifications of water bottling companies that the
standard deviation of water content per bottle is 0.02 gallons. If
a random sample of 50 bottles is chosen, and the average sample of
water content per 1 gallon bottle is 0.995 gallons.
a. Is there any evidence that the average water content in bottles
is not the same...

Bottled water distributors want to determine whether the
contents of the 1 gallon bottle are actually 1 gallon. It is known
from the specifications of water bottling companies that the
standard deviation of water content per bottle is 0.02 gallons. If
a random sample of 50 bottles is chosen, and the average sample of
water content per 1 gallon bottle is 0.995 gallons.
a. Is there any evidence that the average water content in bottles
is not the same as...

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 gasoline supply corporation wants to estimate
the actual amount of gasoline contained in standard 42-gallon
barrels purchased from a nationally known manufacturer. The
manufacturer’s specifications state that the amount of gasoline is
normally distributed with a standard deviation of 0.65 gallon. A
random sample of 25 barrels is selected, and the sample mean amount
of gasoline per 42-gallon barrel is 42.15 gallons. Construct a 90%
confidence interval estimate for the population mean amount of
gasoline contained...

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