Question

A random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the F table.) Treatments A B C 23 30 30 31 29 18 15 23 15 22 23 27 25 31 15 x−A = 23.2 x−B = 27.2 x−C = 21.0 s2A = 33.2 s2B = 15.2 s2C = 49.5 Click here for the Excel Data File a. Calculate the grand mean. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. H0: μA = μB = μC; HA: Not all population means are equal. H0: μA ≤ μB ≤ μC; HA: Not all population means are equal. H0: μA ≥ μB ≥ μC; HA: Not all population means are equal. e-1. Calculate the value of the F(df1, df2) test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

Answer 1

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