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Exercise 2. Tests are conducted on two brands of batteries A and B to see which one lasts longer. The following tables show their lifetimes (in hours) of continuous use. Brand A 11.7, 10.0, 10.8, : 11.1, 12.9. Brand B 11.5, 12.8, 13.8, 13.6, 15.5, 12.4. Test whether Brand B battery lasts longer or not at significance level 0.05 using (a) The Wilcoxon rank sum test, (b) Normal approximation to the Wilcoxon rank sum test (c) 2-sample t-test. (Assuming the data is from normal distribution.) (d) Did you reach the same conclusions with the above three approaches? If not, explain.

Exercise 2. Tests are conducted on two brands of batteries A and B to see which one lasts longer. The following tables show their lifetimes (in hours) of continuous use. Brand A 11.7, 10.0, 10.8, : 11.1, 12.9. Brand B 11.5, 12.8, 13.8, 13.6, 15.5, 12.4. Test whether Brand B battery lasts longer or not at significance level 0.05 using (a) The Wilcoxon rank sum test, (b) Normal approximation to the Wilcoxon rank sum test (c) 2-sample t-test. (Assuming the data is from normal distribution.) (d) Did you reach the same conclusions with the above three approaches? If not, explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Exercise 2. Tests are conducted on two brands of batteries A and B to see which one lasts longer. The following tables show their lifetimes (in hours) of continuous use. Brand A 11.7, 10.0, 10.8, : 11.1, 12.9. Brand B 11.5, 12.8, 13.8, 13.6, 15.5, 12.4. Test whether Brand B battery lasts longer or not at significance level 0.05 using (a) The Wilcoxon rank sum test, (b) Normal approximation to the Wilcoxon rank sum test (c) 2-sample t-test. (Assuming the data is from normal distribution.) (d) Did you reach the same conclusions with the above three approaches? If not, explain.
Transcribed Image Text:Exercise 2. Tests are conducted on two brands of batteries A and B to see which one lasts longer. The following tables show their lifetimes (in hours) of continuous use. Brand A 11.7, 10.0, 10.8, : 11.1, 12.9. Brand B 11.5, 12.8, 13.8, 13.6, 15.5, 12.4. Test whether Brand B battery lasts longer or not at significance level 0.05 using (a) The Wilcoxon rank sum test, (b) Normal approximation to the Wilcoxon rank sum test (c) 2-sample t-test. (Assuming the data is from normal distribution.) (d) Did you reach the same conclusions with the above three approaches? If not, explain.
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