A manufacturer suspects that the batches of raw material furnished by his supplier differ significantly in calcium content. There are a large number of batches currently in the warehouse. Five of these are randomly selected for study. A chemist makes five determinations on each batch and obtains the following data: Batch 1 Batch 2 Batch 3 Batch 4 Batch 5

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
Question
Rush
Activity
1. A manufacturer suspects that the batches of raw material furnished by his supplier differ
significantly in calcium content. There are a large number of batches currently in the warehouse.
Five of these are randomly selected for study. A chemist makes five determinations on each
batch and obtains the following data:
Batch 1
Batch 2
Batch 3
Batch 4
Batch 5
23.46
23.59
23.51
23.28
23.29
23.48
23.46
23.64
23.40
23.46
23.56
23.42
23.46
23.37
23.37
23.39
23.49
23.52
23.46
23.32
23.40
23.50
23.49
23.39
23.38
a. Present the plot of the residuals against the treatment means. Compute for the ratio
between the largest and smallest variance. From the plot, ratio, and Levene's test, tell
whether the homoscedasticity assumption has been met or not.
b. Check the normality assumption by showing and describing the normal probability plot of
the residuals and the Shapiro-Wilk test. From the plot and the formal test, tell whether the
normality assumption has been met or not.
c. Is there significant variation in calcium content from batch to batch? Perform the step by
step procedure of the hypothesis testing. Use a = 0.05.
d. If necessary, perform Tukey's test. Write the summary table showing the mean per
treatment and the appropriate superscripts. Write a short description about the test
results.
Transcribed Image Text:Activity 1. A manufacturer suspects that the batches of raw material furnished by his supplier differ significantly in calcium content. There are a large number of batches currently in the warehouse. Five of these are randomly selected for study. A chemist makes five determinations on each batch and obtains the following data: Batch 1 Batch 2 Batch 3 Batch 4 Batch 5 23.46 23.59 23.51 23.28 23.29 23.48 23.46 23.64 23.40 23.46 23.56 23.42 23.46 23.37 23.37 23.39 23.49 23.52 23.46 23.32 23.40 23.50 23.49 23.39 23.38 a. Present the plot of the residuals against the treatment means. Compute for the ratio between the largest and smallest variance. From the plot, ratio, and Levene's test, tell whether the homoscedasticity assumption has been met or not. b. Check the normality assumption by showing and describing the normal probability plot of the residuals and the Shapiro-Wilk test. From the plot and the formal test, tell whether the normality assumption has been met or not. c. Is there significant variation in calcium content from batch to batch? Perform the step by step procedure of the hypothesis testing. Use a = 0.05. d. If necessary, perform Tukey's test. Write the summary table showing the mean per treatment and the appropriate superscripts. Write a short description about the test results.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
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