Question
In: Statistics and Probability
In a plant that fills 12 ounce cans of soda, the mean fill amount with the...
In a plant that fills 12 ounce cans of soda, the mean fill amount with the current machinery is 12.2 ounces with a standard deviation of 0.03 ounces. A new machine is said to be more accurate, so the company tested this new machine on a run of 10 cans, and obtained the following fill amounts:
12.03 12.10 12.02 11.92 12.10 12.00 12.05 11.97 11.99 11.87
Test the claim that the standard deviation of the new machine is lower than the standard deviation of the original machine at a 1% significance level, because purchasing the new machines is very expensive.
The alternative hypothesis is H1:
Solutions
orchestra answered 2 years agoRelated Solutions
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
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The average amount of Canning in 12-ounce cans at a major canning manufacturer's Quality Control Department...
The average amount of Canning in 12-ounce cans at a major
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Amount of Canning in the Box(ons)
12.00
11.97
12.01
12.03
12.01
11.80
11.91
11.98
12.03
11.98
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11.83
11.87
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11.98
11.87
11.90
11.88
12.05
11.87
11.91
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11.94
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Most soda cans list the volume of soda as 12 fluid ounces. As with all process,...
Most soda cans list the volume of soda as 12 fluid ounces. As
with all process, some variation occurs when filling soda cans.
Suppose that a company knows this and tries to over-fill cans a
bit, so that the actual volume of soda in a can follows a normal
distribution with mean 12.1 fluid ounces and standard deviation .15
fluid ounces.
a) What proportion of soda cans filled by this process will
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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
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significance and the critical value method. Compute the value of
the test statistic. Round the answer to three decimal places.
t=?
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the 12 ounce bottles. The company is seeking to identify the
highest 1.5% of the fill amounts poured by this machine. For...
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