An experiment was performed to determine whether the annealing temperature of ductile iron affects its tensile strength. Five specimens were annealed at each of four temperatures. The tensile strength (in ksi) was measured for each. The results are presented in the following table. Temperature (°C) Sample Values 750 800 19.72 16.01 20.88 19.63 18.68 17.89 850 900 16.66 16.93 20.04 17.38 14.49 18.21 15.58 14.49 16.15 15.53 13.25 18.10 20.28 20.53 (i) What is the sample mean of tensile strength when annealing temperature is 750 or 850. (ii) Construct a 95% confidence interval for the treatment mean when annealing temperature is 800. (iii) Under the normal assumptions, can you conclude that there are differences among the mean tessile strengths? What is the p-value for this test? (iv) Using Kruskal-Wallis test, can you conclude that there are differences among the mean tessile strengths?

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An experiment was performed to determine whether the annealing temperature of ductile iron affects its
tensile strength. Five specimens were annealed at each of four temperatures. The tensile strength (in ksi)
was measured for each. The results are presented in the following table.
Temperature (°C) Sample Values
750
800
19.72
16.01
20.88 19.63 18.68 17.89
850
900
16.66
16.93
20.04
17.38 14.49 18.21 15.58
14.49 16.15 15.53 13.25
18.10 20.28 20.53
(i) What is the sample mean of tensile strength when annealing temperature is 750 or 850.
(ii) Construct a 95% confidence interval for the treatment mean when annealing temperature is 800.
(iii) Under the normal assumptions, can you conclude that there are differences among the mean tessile
strengths? What is the p-value for this test?
(iv) Using Kruskal-Wallis test, can you conclude that there are differences among the mean tessile
strengths?
Transcribed Image Text:An experiment was performed to determine whether the annealing temperature of ductile iron affects its tensile strength. Five specimens were annealed at each of four temperatures. The tensile strength (in ksi) was measured for each. The results are presented in the following table. Temperature (°C) Sample Values 750 800 19.72 16.01 20.88 19.63 18.68 17.89 850 900 16.66 16.93 20.04 17.38 14.49 18.21 15.58 14.49 16.15 15.53 13.25 18.10 20.28 20.53 (i) What is the sample mean of tensile strength when annealing temperature is 750 or 850. (ii) Construct a 95% confidence interval for the treatment mean when annealing temperature is 800. (iii) Under the normal assumptions, can you conclude that there are differences among the mean tessile strengths? What is the p-value for this test? (iv) Using Kruskal-Wallis test, can you conclude that there are differences among the mean tessile strengths?
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