This question has part a,b,and c
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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This question has part a,b,and c
![**Ground Beef Quality Control Analysis**
Ground beef is packaged in small trays, intended to hold 1 pound of meat. A random sample of 50 packages in the small tray produced weight measurements with an average of 1.04 pounds and a standard deviation of 0.16 pounds.
**(a) Hypothesis Testing**
If you were the quality control manager and wanted to ensure that the average amount of ground beef was indeed 1 pound, what hypotheses would you test?
- \( H_0: \mu = 1 \) versus \( H_a: \mu < 1 \)
- \( H_0: \mu = 1 \) versus \( H_a: \mu > 1 \)
- \( H_0: \mu = 1 \) versus \( H_a: \mu \neq 1 \)
- \( H_0: \mu = 1 \) versus \( H_a: \mu = 1 \)
**(b) Calculate the p-value**
Find the p-value for the test and use it to perform the test in part (a). (Round your answer to four decimal places.)
p-value = [Input Box]
State your conclusion. (Use \( \alpha = 0.05 \).)
- Since the p-value is greater than alpha, \( H_0 \) is not rejected.
- Since the p-value is greater than alpha, \( H_0 \) is rejected.
- Since the p-value is less than alpha, \( H_0 \) is not rejected.
- Since the p-value is less than alpha, \( H_0 \) is rejected.
**(c) Report Conclusions**
How would you, as the quality control manager, report the results of your study to a consumer interest group?
- There is a 95% chance that any meat tray selected will weigh 1 pound.
- There is a 5% chance that any meat tray selected will weigh 1 pound.
- Since the sample average is greater than 1, all meat trays will weigh at least 1 pound.
- There is insufficient evidence to indicate that the average amount of ground beef is different from 1 pound.
- There is sufficient evidence to indicate that the average amount of ground beef is different from 1 pound.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7104469d-fb7e-48cd-bb9c-a2d8cb607855%2F23920aff-8767-4e91-9832-350f7e71913f%2F3h3e44c_processed.png&w=3840&q=75)
Transcribed Image Text:**Ground Beef Quality Control Analysis**
Ground beef is packaged in small trays, intended to hold 1 pound of meat. A random sample of 50 packages in the small tray produced weight measurements with an average of 1.04 pounds and a standard deviation of 0.16 pounds.
**(a) Hypothesis Testing**
If you were the quality control manager and wanted to ensure that the average amount of ground beef was indeed 1 pound, what hypotheses would you test?
- \( H_0: \mu = 1 \) versus \( H_a: \mu < 1 \)
- \( H_0: \mu = 1 \) versus \( H_a: \mu > 1 \)
- \( H_0: \mu = 1 \) versus \( H_a: \mu \neq 1 \)
- \( H_0: \mu = 1 \) versus \( H_a: \mu = 1 \)
**(b) Calculate the p-value**
Find the p-value for the test and use it to perform the test in part (a). (Round your answer to four decimal places.)
p-value = [Input Box]
State your conclusion. (Use \( \alpha = 0.05 \).)
- Since the p-value is greater than alpha, \( H_0 \) is not rejected.
- Since the p-value is greater than alpha, \( H_0 \) is rejected.
- Since the p-value is less than alpha, \( H_0 \) is not rejected.
- Since the p-value is less than alpha, \( H_0 \) is rejected.
**(c) Report Conclusions**
How would you, as the quality control manager, report the results of your study to a consumer interest group?
- There is a 95% chance that any meat tray selected will weigh 1 pound.
- There is a 5% chance that any meat tray selected will weigh 1 pound.
- Since the sample average is greater than 1, all meat trays will weigh at least 1 pound.
- There is insufficient evidence to indicate that the average amount of ground beef is different from 1 pound.
- There is sufficient evidence to indicate that the average amount of ground beef is different from 1 pound.
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