Question
In: Statistics and Probability
The manager of a paint supply store wants to determine whether the mean amount of paint...
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 50 cans, and the mean amount of paint per 1-galllon can is 0.995 gallon.
a. At the .05 level of significance, is there evidence that the mean amount is different from 1.0 gallon? Show all steps! Draw the normal curve and insert all information given.
b. Compute the p-value and interpret its meaning. Show all steps!
c. Construct a 95% confidence interval estimate of the population mean amount of paint. Show all steps! d. Compare the results of (a) and (c). What conclusions do you reach? Show all steps!
Solutions
orchestra answered 2 years agoRelated Solutions
The manager of a paint supply store wants to determine whether the mean amount of paint...
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
50 cans, and the mean amount of paint per 1-galllon can is 0.995
gallon.
At the .05 level of significance, is there evidence that the
mean...
The manager of a paint supply store wants to estimate the actual amount of paint contained...
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...
the manager of a candy supply store, and you want to determine whether the mean amount...
the manager of a candy supply store, and you want to determine
whether the mean amount of candy contained in 5-ounce bag purchased
from a nationally known refiner is actually 5 ounces. You know from
the refiner's specifications that the amount of candy per bag is
normally distributed with the standard deviation of 0.25 ounces.
You select a random sample of 30 bags, and the mean amount of candy
per 5-ounce bag is 5.10 ounces.
What are the hypotheses that...
The manager of a cosmetics section of a large department store wants to determine whether newspaper...
The manager of a cosmetics section of a large department store
wants to determine whether newspaper advertising affects
sales. She randomly selects 10 items currently in stock
that are priced at their usual competitive value, and she records
the quantity of each item sold for a one-week
period. Then, without changing their price, she places a
large ad in the newspaper, advertising the 10
items. Again, she records the quantity sold for a
one-week period. Her data are listed
below:
Item
# Sold Before...
9.16 A bottled water distributor wants to determine whether the mean amount of water contained in...
9.16 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
0.02 gallon. You select a random sample of 50 bottles, and
the mean amount of water per 1-gallon bottle is 0.995
gallon.
A) Is there evidence that the mean amount...
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon...
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 0.02 gallon. You
select a random sample of 45 bottles, and the mean amount of water
per 1-gallon bottle is 0.994 gallon. a. Is there evidence that the
mean amount is different from...
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon...
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 0.03 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 determine whether the mean amount of water contained in 1-gallon...
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 0.03 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 determine whether the mean amount of water contained in 1-gallon...
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...
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 0.02 gallon. You select a random
sample of 50 bottles, and
the mean amount of water per 1-gallon bottle is 0.995 gallon.
(a) Is there evidence that the mean amount is...
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