According to information on a granola raisin bran cereal box, the cereal is packaged in boxes containing 18.0 oz. of cereal, with a range (Standard Deviation) of 0.5 0z. Assume that a quality assurance investigator pulls out a random sample of 32 boxes of this cereal and weighs the boxes' contents. Here are the results: 17.3 16.9 18.2 17.4 17.3 18.0 16.8 17.4 18.2 17.8 18.4 16.6 17.3 17.8 17.3 17.7 18.6 17.9 16.5 16.9 17.5 18.3 17 17 18.3 16.8 17.2 17.6 18.2 17.1 18.1 17.5 The company wants to be 95% sure that the cereal boxes are honestly delivering the reported 18 oz of cereal in each box, understanding there will be some variation. Is this true? State the null and alternative hypothesis State the alpha State the decision rule Calculate the statistic State the results To answer this you need to first know the mean of the sample. Then, use the z-test formula to determine the z score of the sample mean. You also need to know the critical number for a two tailed statistical test that rejects the null.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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According to information on a granola raisin bran cereal box, the cereal is packaged in boxes
containing 18.0 oz. of cereal, with a range (Standard Deviation) of 0.5 0z. Assume that a quality
assurance investigator pulls out a random sample of 32 boxes of this cereal and weighs the
boxes' contents. Here are the results:
17.3
16.9
18.2
17.4
17.3
18.0
16.8
17.4
18.2
17.8
18.4
16.6
17.3
17.8
17.3
17.7
18.6
17.9
16.5
16.9
17.5
18.3
17
17
18.3
16.8
17.2
17.6
18.2
17.1
18.1
17.5
The company wants to be 95% sure that the cereal boxes are honestly delivering the reported
18 oz of cereal in each box, understanding there will be some variation. Is this true?
State the null and alternative hypothesis
State the alpha
State the decision rule
Calculate the statistic
State the results
To answer this you need to first know the mean of the sample. Then, use the z-test formula to
determine the z score of the sample mean. You also need to know the critical number for a two
tailed statistical test that rejects the null.
Transcribed Image Text:According to information on a granola raisin bran cereal box, the cereal is packaged in boxes containing 18.0 oz. of cereal, with a range (Standard Deviation) of 0.5 0z. Assume that a quality assurance investigator pulls out a random sample of 32 boxes of this cereal and weighs the boxes' contents. Here are the results: 17.3 16.9 18.2 17.4 17.3 18.0 16.8 17.4 18.2 17.8 18.4 16.6 17.3 17.8 17.3 17.7 18.6 17.9 16.5 16.9 17.5 18.3 17 17 18.3 16.8 17.2 17.6 18.2 17.1 18.1 17.5 The company wants to be 95% sure that the cereal boxes are honestly delivering the reported 18 oz of cereal in each box, understanding there will be some variation. Is this true? State the null and alternative hypothesis State the alpha State the decision rule Calculate the statistic State the results To answer this you need to first know the mean of the sample. Then, use the z-test formula to determine the z score of the sample mean. You also need to know the critical number for a two tailed statistical test that rejects the null.
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