Question
In: Statistics and Probability
A brewery produces cans of beer that are supposed to contain exactly 12 ounces. But owing...
A brewery produces cans of beer that are supposed to contain exactly 12 ounces. But owing to the inevitable variation in the filling equipment, the amount of beer in each can is actually a random variable with a normal distribution. It has a mean of 12 ounces and a standard deviation of .30 ounce. If you bought a six-pack of their beer what is the probability that you are going to actually get less than or equal to a total of 72 ounces of beer in your six-pack?
Solutions
orchestra answered 1 year agoRelated Solutions
1) A machine used to fill beverage cans is supposed to put exactly 12 ounces of...
1) A machine used to fill beverage cans is supposed to put
exactly 12 ounces of beverage in each can, but the actual amount
varies randomly from can to can. The population standard deviation
is σ = 0.05 ounce. A simple random sample of filled cans will have
their volumes measured, and a 99% confidence interval for the mean
fill volume will be constructed. How many cans must be sampled for
the margin of error to be equal to 0.01...
A local brewery wishes to ensure that an average of 12 ounces of beer is used...
A local brewery wishes to ensure that an average of 12 ounces of
beer is used to fill each bottle. In order to analyze the accuracy
of the bottling process, the bottler takes a random sample of 16
bottles with the following results. The data are shown below.
Observations
Value
1
12
2
11.7
3
11.7
4
12
5
11.7
6
12
7
12.2
8
12
9
11.6
10
12
11
12
12
12.1
13
11.8
14
11.9
15
11.8...
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each...
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.
The null and alternative hypothesis,
The test statistic,
The p-value of the test,...
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each...
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.
The null and alternative hypothesis,
The test statistic,
The p-value of the test,...
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each...
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: 12.15 12.17 12.20 11.88 12.16
12.04 12.05 12.11 Perform a hypothesis test to determine whether
the mean volume is greater than 12 ounces. Use the α=0.05 level of
significance and the critical value method. Compute the value of
the test statistic. Round the answer to three decimal places.
t=?
According to Starbucks Coffee, a tall coffee is supposed to contain 12 fluid ounces. A consumer...
According to Starbucks Coffee, a tall coffee is supposed to
contain 12 fluid ounces. A consumer advocate decides to test the
null hypothesis that there are 12 ounces in a tall coffee. She
finds in a sample of 20 tall cups an average of 11.99 ounces of
coffee, with a standard deviation of .01 ounces. From the above
information, what would positive critical value
for t in a two-tailed test at a significance level of .01? (refer
to the provided...
A soda bottling plant fills cans labeled to contain 12 ounces of soda. The filling machine...
A soda bottling plant fills cans labeled to contain 12 ounces of
soda. The filling machine varies and does not fill each can with
exactly 12 ounces. To determine if the filling machine needs
adjustment, each day the quality control manager measures the
amount of soda per can for a random sample of 50 cans. Experience
shows that its filling machines have a known population standard
deviation of 0.35 ounces.
In today's sample of 50 cans of soda, the sample...
A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the...
A local brewery distributes beer in bottles labeled 24 ounces. A
government agency thinks that the brewery is cheating its
customers. The agency selects 40 of these bottles, measures their
contents, and obtains a sample mean of 23.8 ounces with a standard
deviation of 1.1 ounces. Use a 0.01 significance level (α = 0.01)
to test the agency's claim that the brewery is cheatings its
customers (that the average volume of their beers is less than 24
ounces).
H0: ...
A vending machine dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces....
A vending machine dispenses coffee. The average cup of coffee is
supposed to contain 7.0 ounces. Eight cups of coffee from this
machine show the average content to be 7.3 ounces with a standard
deviation of 0.5 ounce. Using a 5% level of significance, test
whether the machine has slipped out of adjustment and if the
average amount of coffee per cup is different from 7 ounces.
Determine the p-value and interpret the results
An average of 12 ounces of beer is used to fill each bottle in a local...
An average of 12 ounces of beer is used to fill each bottle in a
local brewery as recorded. The manager now believes that, in
general, beer bottles are overfilled. He takes a random sample of
30 bottles to test. The sample mean weight of the bottles is 12.8
ounces with a standard deviation of 1.5 ounces. Conduct a
one-sample t-test to test whether the beer bottles are overfilled.
Use 5% level of significance. (Round your steps to 4 decimal...
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