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.)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: ?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-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.)

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 C 31 30 16 21 26 28 16 29 24 23 15 21 - 26.8 In - 22.0 20 - 22.6 - 17.7 897 - 41.5 - 31.3 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.) Grand mean b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) SSTR MSTR c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)