6. Hypothesis Testing with the Critical Value Method The meat-packing department of a large grocery store packs ground beef in two-pound portions. Supervisors are concerned that their machine is no longer packaging the beef to the required specifications. To test the claim that the mean weight of ground beef portions is not 2.00 pounds, the supervisors calculate the mean weight for a simple random sample of 20 packages of beef. The sample mean is 2.10 pounds with a standard deviation of 0.33 pounds. Is there sufficient evidence at the 0.01 level of significance to show that the machine is not working properly? (Assume that the weights are normally distributed.) Use the Critical Value Method. Clearly show all steps.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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6. Hypothesis Testing with the Critical Value Method
The meat-packing department of a large grocery store packs ground beef in two-pound portions.
Supervisors are concerned that their machine is no longer packaging the beef to the required
specifications. To test the claim that the mean weight of ground beef portions is not 2.00 pounds, the
supervisors calculate the mean weight for a simple random sample of 20 packages of beef. The sample
mean is 2.10 pounds with a standard deviation of 0.33 pounds. Is there sufficient evidence at the 0.01
level of significance to show that the machine is not working properly? (Assume that the weights are
normally distributed.) Use the Critical Value Method. Clearly show all steps.
Transcribed Image Text:6. Hypothesis Testing with the Critical Value Method The meat-packing department of a large grocery store packs ground beef in two-pound portions. Supervisors are concerned that their machine is no longer packaging the beef to the required specifications. To test the claim that the mean weight of ground beef portions is not 2.00 pounds, the supervisors calculate the mean weight for a simple random sample of 20 packages of beef. The sample mean is 2.10 pounds with a standard deviation of 0.33 pounds. Is there sufficient evidence at the 0.01 level of significance to show that the machine is not working properly? (Assume that the weights are normally distributed.) Use the Critical Value Method. Clearly show all steps.
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