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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
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?
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 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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman