Question

A certain brand of apple juice is supposed to have 64 ounces of juice. The target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount varies from bottle to bottle. The quality control manager wishes to verify that the mean amount in each bottle is 64.05 ounces so that she can be sure that the machine is not over-filling or under-filling. She randomly samples 12 bottles of juice and measures the content and obtains the following data: 64.03, 63.97, 63.95, 64.06, 64, 64.05, 64.08, 64.03, 63.94, 64.01, 64.06, 64.01 Should the assembly line be shut down so that the machine can be recalibrated? Use α=0.01 level of significance.

State the null and alternative hypothesis

Give the p-value

Give a conclusion for the hypothesis

Find a 99% confidence Interval

What a conclusion for the confidence Interval

Answer #1

. Filling Bottles. A certain brand of apple juice is supposed to
have 64 oz. of juice. Because the filling machine is not precise,
the exact amount of juice varies from bottle to bottle. The quality
control manager wishes to verify that the mean amount of juice in
each bottle is 64 oz., so she can be sure that the machine is not
over or under filling. She randomly samples 22 bottles of juice and
measures the content. She obtains...

A certain brand of nail polish is supposed to have 5 ounces of
nail polish. Because the penalty for underfilling bottles is
severe, the target mean amount of nail polish is 5.02 ounces.
However, the filling machine is not precise, and the exact amount
of nail polish varies from bottle to bottle. The quality control
manager wishes to verify that the mean amount of nail polish in
each bottle is 5.02 ounces so that he can be sure that the...

A certain brand of apple juice is supposed to contain 64 ounces
of juice. A random sample of 22 bottles of juice had a mean of
63.96 oz. with a standard deviation of .05 oz. Use a 0.10
significance level to test the claim that the mean amount of juice
in all bottles is different from 64 ounces. a. State the
appropriate null and alternative hypotheses. b. Compute the test
statistic. c. Compute the P-value for this test. d. Show...

The amount of fill X put into bottles of a particular brand of
apple juice can be described by a normal model with mean E(X) = μ =
28 ounces and standard deviation SD(X) = σ = .85 ounces. What is
the median amount of apple juice put into a bottle, that is, what
is the amount k such that P(X > k) = P(X < k) = 0.50?
Right-click this link standard normal table to open a standard
normal...

Cough-a-Lot children’s cough syrup is supposed to contain 6
ounces of medicine per bottle. However, since the filling machine
is not always precise, there can be variation from bottle to
bottle. The amounts in the bottles are normally distributed with σ
= 0.3 ounces. A quality assurance inspector measures 10 bottles and
finds the following (in ounces):
5.95
6.10
5.98
6.01
6.25
5.85
5.91
6.05
5.88
5.91
Are the results enough evidence to conclude that the bottles are
not filled...

A jar of peanuts is supposed to have 16 ounces of peanuts. The
filling machine inevitably experiences fluctuations in filling, so
a quality-control manager randomly samples 12 jars of peanuts from
the storage facility and measures their contents. She obtains the
accompanying data. Complete parts (a) through (d) below.
Jar values
15.93
15.73
16.19
15.36
15.82
15.84
15.56
16.15
15.79
15.42
16.28
16.51
(b) Determine the sample standard deviation.
s=?
(Round to three decimal places as needed.)
(c) Construct a...

Example 3: A machine that fills beverage cans is supposed to put
12 ounces of beverage in each can. Following are the amounts
measured in a simple random sample of eight cans. 11.96 12.10 12.04
12.13 11.98 12.05 11.91 12.03 Perform a hypothesis test to
determine whether the mean volume differs from 12 ounces. Use a
0.05 level of significance.
Also construct a 99% confidence interval for the data.
Null Hypothesis:
Alternative Hypothesis:
Test Static=
P-Value=
Conclusion:

A coffee machine dispenses coffee into paper cups. You’re
supposed to get 10 ounces of coffee, but the amount varies slightly
from cup to cup. Here are the amounts measured in a random sample
of 20 cups. Is there evidence that the machine is shortchanging
customers? (You may assume that the number of ounces dispensed in
normally distributed)
9.9 , 9.7 ,10.0 ,10.1 , 9.9 , 9.6 , 9.8 , 9.8 , 10.0 , 9.5 ,10.1 ,
9.9 , 9.6...

A local brewery distributes beer in bottles labeled 16.9 fluid
ounces. A government agency thinks that the brewery is cheating its
customers. The agency selects 31 of these bottles, measures their
contents, and obtains a sample mean of 16.71 fluid ounces and a
standard deviation of 0.51 fluid ounce. Does the sample show that
the government agency is correct in thinking that the mean amount
of beer is less than 16.9 fluid ounces? Use a = 0.05.
a. State the...

5. Bottles of a popular cola are supposed to contain 300 ml of
cola. There is some variation from bottle to bottle because the
filling machinery is not perfectly precise. The distribution of the
contents is normal with standard deviation = 3 ml. An inspector
who suspects that the bottler is underfilling measures the contents
of 6 bottles. The results are 299.4 297.7 298.9 301.0 300.2
297.0
a. State the hypothesis that you will test.
b. Find the sample...

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