Question

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 as 1.0 gallons? Use α = 0.01.)

b. Calculate the p-value and interpret the meaning.

Answer #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 as...

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 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 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...

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...

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...

Supplementary Problem 18.15
A bottled-water company has been randomly inspecting bottles of
water to determine whether they are acceptable for delivery and
sale. The inspectors are looking at water quality, bottle
condition, and seal tightness. A series of 10 random samples of 50
bottles each is taken. Some bottles are rejected. Use the following
information on the number of bottles from each batch that were
rejected as being out of compliance to construct a p
chart.
Sample
N
Number out...

One cubic centimeter of a typical cumulus cloud contains 430
water drops, which have a typical radius of 10 μm.
(a) How many cubic meters of water are in a
cylindrical cumulus cloud of height 3.1 km and radius 1.1 km?
(b) How many 1-liter pop bottles would that water
fill? (c) Water has a density of 1000
kg/m3. How much mass does the water in the cloud
have?
Water is poured into a container that has a leak. The...

1. A city official claims that the proportion of all commuters
who are in favor of an expanded public transportation system is
50%. A newspaper conducts a survey to determine whether this
proportion is different from 50%. Out of 225 randomly chosen
commuters, the survey finds that 90 of them reply yes when asked if
they support an expanded public transportation system. Test the
official’s claim at α = 0.05.
2. A survey of 225 randomly chosen commuters are asked...

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