Explanation The given information is time in examination taken by physician 1, 2, 3, and 4. Significance level is α = 0.05 . State the hypotheses: Null hypothesis: H 0 : μ i = μ j i = 1 , 2 , 3 , 4 All the pair treatment means are equal. Alternative hypothesis: H 1 : μ i ≠ μ j i = 1 , 2 , 3 , 4 . At least one pair of treatment means differ. Here, the Turkey’s test statistic is T calc = | y i ¯ − y j ¯ | MSE [ 1 n i + 1 n i ] where y i ¯ and y j ¯ are the mean of i th and j th group, MSE is the pooled variance of the c samples, and n i and n j are sample size of the i th and j th group. Rejection rule: If T ≥ T c , n − c , reject H 0 . Otherwise do not reject H 0 . p-value: Software procedure: Step-by-step procedure to obtain the test p -value using MINITAB software is given below: • Choose Stat > ANOVA > One-way . • Choose Response data are in a separate column for each factor level . • In Response select Physician 1, Physician 2, Physician 3,and Physician 4. • In comparison select Turkey. • In Result select ANOVA, Means. • Click OK in all dialogue boxes. The output using the MINITAB software is given below: From the MINITAB output, the value of the p- value for Physician 1 and Physician 2 is 0.115. From the MINITAB output, the value of the p- value for Physician 1 and Physician 3 is 0.97. From the MINITAB output, the value of the p- value for Physician 1 and Physician 4 is 0.428. From the MINITAB output, the value of the p- value for Physician 2 and Physician 3 is 0.041. From the MINITAB output, the value of the p- value for Physician 2 and Physician 4 is 0.822. From the MINITAB output, the value of the p- value for Physician 3 and Physician 4 is 0.202. Conclusion: • At α = 0.05 : For Physician 1 and Physician 2: The p- value is 0.115, which greater than the significance level is α = 0.05 . That is p- value is greater than the significance

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Chapter 11.3, Problem 12SE

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Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 5, n2...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 8, n2...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Prob. 8SE Ch. 11.3 - Consider a one-factor ANOVA with n1 = 9, n2 = 10,...Ch. 11.3 - Consider a one-factor ANOVA with n1 = 6, n2 = 5,...

Ch. 11.3 - Instructions for Exercises 11.11 through 11.14:...Ch. 11.3 - Prob. 12SE Ch. 11.3 - Prob. 13SE Ch. 11.3 - Prob. 14SE Ch. 11.4 - In a one-factor ANOVA with n1 = 6, n2 = 4, and n3...Ch. 11.4 - Prob. 16SE Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Prob. 27SE Ch. 11.6 - Prob. 28SE Ch. 11 - Explain each term: (a) explained variation; (b)...Ch. 11 - (a) Explain the difference between one-factor and...Ch. 11 - (a) State three assumptions of ANOVA. (b) What do...Ch. 11 - (a) Sketch the format of a one-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - Prob. 7CR Ch. 11 - (a) What does a test for homogeneity of variances...Ch. 11 - What is the general linear model and why is it...Ch. 11 - (a) What is a 2k design, and what are its...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - In a market research study, members of a consumer...Ch. 11 - Prob. 47CE Ch. 11 - (a) What kind of ANOVA is this (one-factor,...Ch. 11 - Here is an Excel ANOVA table for an experiment to...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Air pollution (micrograms of particulate per ml of...Ch. 11 - A company has several suppliers of office...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Are large companies more profitable per dollar of...

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