Refer to Exercise 1 in Section 9.1. A scientist wants to

Chapter 9, Problem 6E

(choose chapter or problem)

Refer to Exercise 1 in Section 9.1. A scientist wants to determine whether the mean strength of specimens cured at \(30^{\circ} \mathrm{C}\) differs from the mean strengths of specimens cured at \(0^{\circ} \mathrm{C}, 10^{\circ} \mathrm{C},\text{ and }20^{\circ} \mathrm{C}\).

a. Use the Bonferroni method to determine which of the means, if any, for \(0^{\circ} \mathrm{C}, 10^{\circ} \mathrm{C},\text{ and }20^{\circ} \mathrm{C}\) differ from the mean  for \(30^{\circ} \mathrm{C}\). Use the 5% level.

b. Use the Tukey–Kramer method to determine which of the means, if any, \(0^{\circ} \mathrm{C}, 10^{\circ} \mathrm{C},\text{ and }20^{\circ} \mathrm{C}\) differ from the  mean for \(30^{\circ} \mathrm{C}\). Use the 5% level.  

c. Which is the more powerful method to find all the treatments whose means differ from that of the \(30^{\circ} \mathrm{C}\) temperature,  the Bonferroni method or the Tukey–Kramer method?

Equation Transcription:

Text Transcription:

30^{o}C

0^{o}C, 10^{o}C, and 20^{o}C

0^oC, 10oC, and 20^{o}C

30^{o}C

0^{o}C, 10^{o}C, and 20^{o}C

30^{o}C

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