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 1 year 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
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11.83
11.87
12.01
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
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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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