A random sample of five observations from three treatments p

A random sample of five observations from three treatments produced the following data: Use Table 4. PictureClick here for the Excel Data File Treatments A B C 28 25 27 22 19 23 20 15 30 26 15 20 20 20 27 formula618.mml = 23.2 1formula619.mml = 18.8 1formula620.mml = 25.4 sA2 = 13.2 sB2 = 17.2 sC2 = 15.3 a. Calculate the grand mean. (Round your answer to 2 decimal places.) Grand mean b. Calculate SSTR and MSTR. (Round intermediate values to 4 decimal places and final answers to 2 decimal places.) SSTR MSTR c. Calculate SSE and MSE. (Round intermediate values to 4 decimal places and final answers to 2 decimal places.) SSE MSE d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. H0: A = B = C; HA: Not all population means are equal. H0: A B C; HA: Not all population means are equal. H0: A B C; HA: Not all population means are equal. e. Calculate the value of the F(df1,df2) test statistic. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Test statistic f. Using the critical value approach at the 1% significance level, what is the conclusion to the test? Reject H0 since the value of the test statistic exceeds 6.93. Reject H0 since the value of the test statistic exceeds 5.52. Do not reject H0 since the value of the test statistic does not exceed 6.93. Do not reject H0 since the value of the test statistic does not exceed 5.52.

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