MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The effective life of insulating fluids at an accelerated load of 35 kV is being studied. Test data have been obtained for four types of fluids. The results from a completely randomized experiment were as follows: Please do your analysis in Minitab and Excel, upload your Minitab and Excel files, and answer the following questions.

| Fluid Type | Life (in h) at 35 kV Load          |
|------------|-----------------------------------|
| 1          | 17.6, 18.9, 16.3, 17.4, 20.1, 21.6|
| 2          | 16.9, 15.3, 18.6, 17.1, 19.5, 20.3|
| 3          | 21.4, 23.6, 19.4, 18.5, 20.5, 22.3|
| 4          | 19.3, 21.1, 16.9, 17.5, 18.3, 19.8|

a) What is the number of replicates in these experiments?

b) What is the response variable (output)?

c) What is the factor?

d) How many factors do we have for this problem?

e) How many levels are considered for the factor?

f) What test should be used to know whether all 4 different fluid types have the same effect on mean of effective life for insulating fluids?

g) Using the Excel Analysis and Minitab ANOVA test, do all different fluid types have the same effect on the effective life of insulating fluids?
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Transcribed Image Text:The effective life of insulating fluids at an accelerated load of 35 kV is being studied. Test data have been obtained for four types of fluids. The results from a completely randomized experiment were as follows: Please do your analysis in Minitab and Excel, upload your Minitab and Excel files, and answer the following questions. | Fluid Type | Life (in h) at 35 kV Load | |------------|-----------------------------------| | 1 | 17.6, 18.9, 16.3, 17.4, 20.1, 21.6| | 2 | 16.9, 15.3, 18.6, 17.1, 19.5, 20.3| | 3 | 21.4, 23.6, 19.4, 18.5, 20.5, 22.3| | 4 | 19.3, 21.1, 16.9, 17.5, 18.3, 19.8| a) What is the number of replicates in these experiments? b) What is the response variable (output)? c) What is the factor? d) How many factors do we have for this problem? e) How many levels are considered for the factor? f) What test should be used to know whether all 4 different fluid types have the same effect on mean of effective life for insulating fluids? g) Using the Excel Analysis and Minitab ANOVA test, do all different fluid types have the same effect on the effective life of insulating fluids?
### Educational Website Transcription:

#### Statistical Analysis Questions

h) **What is the null hypothesis (H0) for this problem?**

i) **What is the alternative hypothesis (H1 or HA) for this problem?**

j) **After running the proper test, what is the P-value for this problem?**

k) **What value did you choose for the error type I (significance level) α for this problem?**

l) **What is confidence level?**

m) **After solving the question, what value did you get for the F test statistic?**

n) **What value did you get for sum of square treatment (source of variation between groups due to factor)?**

o) **What value did you get for sum of square error (source of variation within group due to error)?**

p) **Using Minitab, Plot the residuals versus the predicted response. Construct a normal probability plot of the residuals. What information is conveyed by these plots?**

---

*Note: There are no graphs or diagrams included in the image. The content focuses on questions related to hypothesis testing and statistical analysis.*
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Transcribed Image Text:### Educational Website Transcription: #### Statistical Analysis Questions h) **What is the null hypothesis (H0) for this problem?** i) **What is the alternative hypothesis (H1 or HA) for this problem?** j) **After running the proper test, what is the P-value for this problem?** k) **What value did you choose for the error type I (significance level) α for this problem?** l) **What is confidence level?** m) **After solving the question, what value did you get for the F test statistic?** n) **What value did you get for sum of square treatment (source of variation between groups due to factor)?** o) **What value did you get for sum of square error (source of variation within group due to error)?** p) **Using Minitab, Plot the residuals versus the predicted response. Construct a normal probability plot of the residuals. What information is conveyed by these plots?** --- *Note: There are no graphs or diagrams included in the image. The content focuses on questions related to hypothesis testing and statistical analysis.*
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