Question

Procter & Gamble reported that an American family of four washes an average of 2100 pounds of clothes each year. If the standard deviation of the distribution is 187.5 pounds, find the probability that the mean of a randomly selected sample of 50 families will be

a. between 2020 and 2150 pounds b. less than 2130 pounds c. greater than 2050 pounds

Answer #1

Proctor & Gamble reported that an American family of four
washes an average of 1 ton (2000) pounds of clothes each year. If
the standard deviation of the distribution is 187.5 pounds, find
the probability that the mean of a randomly selected sample of 50
families of four will be between 1980 and 1995 pounds. Round final
answer to 4 decimal places (0.0001).

The Procter & Gamble Company is an American multinational
consumer goods corporation headquartered in Cincinnati, Ohio. One
of Procter & Gamble’s products is Cascade Complete
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Dishwasher Detergent is normally distributed, and has a mean of 75
ounces and a standard deviation of 2.6 ounces.
What is the probability that a single
box of Cascade Complete Dishwasher Detergent selected at random
will weigh more than 80 ounces?
What is the probability that...

a survey found that the american family generates an average of
17.2 pounds of glass garbage each year. Assume the standard
deviation of the distribution is 2.5 pounds. Find the probability
that the mean of a sample of 30 families will be between 16.4 and
17.4 pounds. The correction factor can be ignored

A survey found that the American family generates an average of
17.2 pounds of glass garbage each year. Assume the standard
deviation of the distribution is 2.5 pounds. Find the probability
that the mean of a sample of 45 families will be between 16 and 17
pounds. Assume that the sample is taken from a large population and
the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus
calculator and round the final answers to at least four decimal...

A recent report in
Pasadena Times indicated a typical family of four spends
$490 per month on food. Assume the distribution of food
expenditures for a family follows the normal distribution, with a
standard deviation of $90 per month.
What percent of the families spend between $300 and $490 per
month on food?
What is the probability that a families selected spends less
than $430 per month on food?
What percent spend between $430 and $600 per month on
food?...

The Aluminum Association reports that the average American uses
56.8 pounds of aluminum in a year. A random sample of 50 households
is monitored for one year to determine aluminum usage. If the
population standard deviation of annual usage is 12.1 pounds, what
is the probability that the sample mean will be each of the
following?
Appendix A Statistical Tables
a. More than 61 pounds
b. More than 56 pounds
c. Between 55 and 58 pounds
d. Less than 53...

The Aluminum Association reports that the average American uses
56.8 pounds of aluminum in a year. A random sample of 50 households
is monitored for one year to determine aluminum usage. If the
population standard deviation of annual usage is 12.2 pounds, what
is the probability that the sample mean will be each of the
following?
a. More than 61 pounds
b. More than 56 pounds
c. Between 56 and 58 pounds
d. Less than 54 pounds
e. Less than...

The Aluminum Association reports that the average American uses
56.8 pounds of aluminum in a year. A random sample of 50 households
is monitored for one year to determine aluminum usage. If the
population standard deviation of annual usage is 12.3 pounds, what
is the probability that the sample mean will be each of the
following?
(Round the values of z to 2 decimal places. Round answers to 4
decimal places.)
a. More than 61 pounds
b. More than 56...

The average American man consumes 10 grams of sodium each day.
Suppose that the sodium consumption of American men is normally
distributed with a standard deviation of 8 grams.. Let X = the
amount of sodium consumed. Round all numeric answers to 4 decimal
places where possible.
What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected American man is
select and he consumes less than 11 grams of sodium per day.
Find...

Private nonprofit four-year colleges charge, on average, $26,516
per year in tuition and fees. The standard deviation is $7,429.
Assume the distribution is normal. Let X be the cost for a randomly
selected college. Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected Private nonprofit
four-year college will cost less than 22,272 per year.
c. Find the 62nd percentile for this distribution....

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