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.
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.
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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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.
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