Question

8a. Means - A brewery distributes beer in bottles labeled 10 ounces. Some people think they are getting less than they pay for. The local Bureau of Weights and Measures randomly selects 70 of these bottles, measures their contents and obtains a sample mean of 9.9 ounces. Assuming that σ is known to be 0.10 ounces, is it valid at a 0.05 significance level to conclude that the brewery is cheating the consumer?

8b. (Means) A bottling company distributes pop in bottles labeled 10 ounces. The company thinks people are getting than they paid for. The company randomly selects 35 of these bottles, measures their contents and obtains a sample mean of 10.1 ounces and a sample standard deviation of 0.20 ounces, is it valid at a 0.05 significance level to conclude that the company is giving the customer more than what they paid for?

Answer #1

A local brewery distributes beer bottles labeled 32 ounces. A
government agency claims that the brewery is cheating the consumer.
(Cheating the consumer means selling less than what you are saying
you are selling). The agency selects 75 of those bottles, measures
their contents, and obtains a mean of 31.7 ounces and a standard
deviation of 0.70 ounces. Use a level of significance of 0.05. Can
you support the government agency's claim? Answer the
following:
A) State the hypothesis.
B)...

A local brewery distributes beer in bottles labeled 24 ounces. A
government agency thinks that the brewery is cheating its
customers. The agency selects 50 of these bottles, measures their
contents, and obtains a sample mean of 23.6 ounces with a standard
deviation of 0.70 ounce. Use a 0.01 significance level to test the
agency's claim that the brewery is cheating its customers. DON'T
JUST GIVE THE ANSWER - SHOW WORK AND EXPLAIN YOUR PROCESS EACH STEP
OF THE WAY...

A local brewery distributes beer in bottles labeled 24 ounces. A
government agency thinks that the brewery is cheating its
customers. The agency selects 50 of these bottles, measures their
contents, and obtains a sample mean of 23.6 ounces with a standard
deviation of 0.70 ounce. Use a 0.01 significance level to test the
agency's claim that the brewery is cheating its customers. DON'T
JUST GIVE THE ANSWER - SHOW WORK AND EXPLAIN YOUR PROCESS EACH STEP
OF THE WAY...

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...

A local juice manufacturer distributes juice in bottles labeled
12 ounces. A government agency thinks that the company is cheating
its customers. The agency selects 20 of these bottles, measures
their contents, and obtains a sample mean of 11.7 ounces with a
standard deviation of 0.7 ounce. Use a 0.01 significance level to
test the agency's claim that the company is cheating its
customers.
a) State the null and alternative hypotheses.
b) Verify conditions have been met by stating them...

Label what approach you are using: classical or p-value. A local
juice manufacturer distributes juice in bottles labeled 12 ounces.
A government agency thinks that the company is cheating its
customers by giving the customers less juice than labeled. The
agency selects 35 of these bottles via simple random sampling,
measures their contents, and obtains a sample mean of 11.7 ounces
with a standard deviation of 0.7 ounce. Use a 0.01 significance
level to test the agencyʹs claim that the...

A local chip manufacturer distributes chips in bags labeled as
150g. A group of consumers believe they are being cheated. They run
a test on 32 bags, measures their contents, and obtains a sample
mean of 145 grams with a standard deviation of 6 ounces. Use a 0.01
significance level to test the consumer's claim that the company is
cheating its customers.
Null Hypothesis:
Alternate Hypothesis:
P-value: Conclusion:
Interpretation:

A quality-control engineer wants to find out whether or not a
new machine that fills bottles with liquid has less variability
than the machine currently in use. The engineer calibrates each
machine to fill bottles with 16 ounces of a liquid. After running
each machine for 5 hours, she randomly selects 15 filled bottles
from each machine and measures their contents. She obtains the
following results:
Old Machine
New Machine
16.01
16.02
16.04
15.96
15.96
16.05
16
15.95
16.07
15.99...

_____11) If the null hypothesis is that the population mean is
equal to 150 and a sample
mean of 113 gave significant support against the
null hypothesis, which of the
following sample means would be certain to give
support against the null
hypothesis.
a)
114
b.)
122
c.)
264
d.)
112
_____12) If the p-value is less than the significance level, you
would .
a.) reject
the null hypothesis
b.) accept...

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