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 10 bags to see if customers were getting the mealworms for which they were paying. The data is in the array below.

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 10 bags to see if customers were getting the mealworms for which they were paying. The data is in the array below.

Name: Textbook example 4. Lindvall's Nursery has 25-pound bags of mealworms
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Description: Textbook example 4. Lindvall's Nursery has 25-pound bags of mealworms for sale. The bag filling process is known to be normallydistributed and the standard deviation is designed to be 1.5 pounds. Aaron Johannsson, Lindvall's Nursery'sstatistician, sa

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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Textbook example

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 10 bags to see if customers were getting the mealworms for which they were paying. The
data is in the array below.
22.80
23.85
23.80
23.15
23.10
23.70
24.60
27.90
23.75
24.25
a. What test did 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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