A random sample of five observations from three normally distributed populations produced the following data: (You...

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A random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the Ftable.) A Treatments B 28 16 21 24 24 32 29 19 20 21 122222 26 25 27 = 22.4 XC = 24.0 = 37.3 SC = 8.0 = 24.4 XB = 16.3 SB = picture Click here for the Excel Data File a. Calculate the grand mean. (Round final answer to 4 decimal places.) Grand mean b. Calculate SSTR and MSTR. (Round final answers to 4 decimal places.) SSTR b. Calculate SSTR and MSTR. (Round final answers to 4 decimal places.) SSTR MSTR c. Calculate SSE and MSE. (Round final answers to 4 decimal places.) SSE ---- d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. Ho HA HB HC; HA: Not all population means are equal. OHO: HA HB HC; HA: Not all population means are equal. HO: HA HB HC; HA: Not all population means are equal. e-1. Calculate the value of the F(df1, df2) test statistic. (Round final answer to 3 decimal places.) Test statistic e-2. Find the p-value. p-value 0.10 0.05 s p-value <0.10 O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 f. At the 5% significance level, what is the conclusion to the test? Do not reject Ho since the p-value is not less than significance level. Reject Ho since the p-value is less than significance level. Reject Ho since the p-value is not less than significance level. Do not reject Ho since the p-value is less than significance level. g. Interpret the results at = 0.05. We conclude that some means differ. We cannot conclude that some means differ. We cannot conclude that all means differ. We cannot conclude that population mean C is greater than population mean A. A random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the Ftable.) A Treatments B 28 16 21 24 24 32 29 19 20 21 122222 26 25 27 = 22.4 XC = 24.0 = 37.3 SC = 8.0 = 24.4 XB = 16.3 SB = picture Click here for the Excel Data File a. Calculate the grand mean. (Round final answer to 4 decimal places.) Grand mean b. Calculate SSTR and MSTR. (Round final answers to 4 decimal places.) SSTR b. Calculate SSTR and MSTR. (Round final answers to 4 decimal places.) SSTR MSTR c. Calculate SSE and MSE. (Round final answers to 4 decimal places.) SSE ---- d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. Ho HA HB HC; HA: Not all population means are equal. OHO: HA HB HC; HA: Not all population means are equal. HO: HA HB HC; HA: Not all population means are equal. e-1. Calculate the value of the F(df1, df2) test statistic. (Round final answer to 3 decimal places.) Test statistic e-2. Find the p-value. p-value 0.10 0.05 s p-value <0.10 O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 f. At the 5% significance level, what is the conclusion to the test? Do not reject Ho since the p-value is not less than significance level. Reject Ho since the p-value is less than significance level. Reject Ho since the p-value is not less than significance level. Do not reject Ho since the p-value is less than significance level. g. Interpret the results at = 0.05. We conclude that some means differ. We cannot conclude that some means differ. We cannot conclude that all means differ. We cannot conclude that population mean C is greater than population mean A.