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4. Lindvall's Nursery has 25-pound bags of mealworms for sale. The bag filling process is known to be normally distributed and the standard deviation is designed to be 1.5 pounds. Aaron Johannsson, Lindvall's Nursery's statistician, sampled 16 bags to see if customers were getting the mealworms for which they were paying. The data is in the array below. 21 23 24 23 22 28 21 23 24 25 25 25 n6em The numbers above can be copied & pasted directly into Microsoft Excel®. 27 23 27 a. What test should Johnson use to determine if customers were getting the mealworms for which they paid? Is it a one-tailed or two-tailed test? Explain. b. Calculate the necessary statistics to perform that test. c. Using the 6-step hypothesis testing procedure, perform the test that Johnson would perform. Use a level of significance of 0.05. Comment on each step of the 6-step hypothesis testing procedure; especially explain why a z-distribution can be used. d. Compute the p-value. Would the results of the hypothesis test change if the level of significance was 0.01?

4. Lindvall's Nursery has 25-pound bags of mealworms for sale. The bag filling process is known to be normally distributed and the standard deviation is designed to be 1.5 pounds. Aaron Johannsson, Lindvall's Nursery's statistician, sampled 16 bags to see if customers were getting the mealworms for which they were paying. The data is in the array below. 21 23 24 23 22 28 21 23 24 25 25 25 n6em The numbers above can be copied & pasted directly into Microsoft Excel®. 27 23 27 a. What test should Johnson use to determine if customers were getting the mealworms for which they paid? Is it a one-tailed or two-tailed test? Explain. b. Calculate the necessary statistics to perform that test. c. Using the 6-step hypothesis testing procedure, perform the test that Johnson would perform. Use a level of significance of 0.05. Comment on each step of the 6-step hypothesis testing procedure; especially explain why a z-distribution can be used. d. Compute the p-value. Would the results of the hypothesis test change if the level of significance was 0.01?

MATLAB: An Introduction with Applications
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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4. Lindvall's Nursery has 25-pound bags of mealworms for sale. The bag filling process is known to be normally distributed and the standard deviation is designed to be 1.5 pounds. Aaron Johannsson, Lindvall's Nursery's statistician, sampled 16 bags to see if customers were getting the mealworms for which they were paying. The data is in the array below. 21 23 24 23 22 28 21 23 24 25 25 25 n6em The numbers above can be copied & pasted directly into Microsoft Excel®. 27 23 27 a. What test should Johnson use to determine if customers were getting the mealworms for which they paid? Is it a one-tailed or two-tailed test? Explain. b. Calculate the necessary statistics to perform that test. c. Using the 6-step hypothesis testing procedure, perform the test that Johnson would perform. Use a level of significance of 0.05. Comment on each step of the 6-step hypothesis testing procedure; especially explain why a z-distribution can be used. d. Compute the p-value. Would the results of the hypothesis test change if the level of significance was 0.01?
Transcribed Image Text:4. Lindvall's Nursery has 25-pound bags of mealworms for sale. The bag filling process is known to be normally distributed and the standard deviation is designed to be 1.5 pounds. Aaron Johannsson, Lindvall's Nursery's statistician, sampled 16 bags to see if customers were getting the mealworms for which they were paying. The data is in the array below. 21 23 24 23 22 28 21 23 24 25 25 25 n6em The numbers above can be copied & pasted directly into Microsoft Excel®. 27 23 27 a. What test should Johnson use to determine if customers were getting the mealworms for which they paid? Is it a one-tailed or two-tailed test? Explain. b. Calculate the necessary statistics to perform that test. c. Using the 6-step hypothesis testing procedure, perform the test that Johnson would perform. Use a level of significance of 0.05. Comment on each step of the 6-step hypothesis testing procedure; especially explain why a z-distribution can be used. d. Compute the p-value. Would the results of the hypothesis test change if the level of significance was 0.01?
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