A random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the Ftable.) eatments 15 27 IA = SA = 38.7 So = 4.7 rences picture Click here for the Excel Data File . Calculate the grand mean. (Round final answer to 4 decimal places.) Grand mean 26 0667 4 decimal places required. b. Calculate SSTR and MSTR. (Round final answers to 4 decimal places.) SSTR 116.1332 MSTR 58.0666 c. Calculate SSE and MSE. (Round final answers to 4 decimal places.) SSE points MSE eBook Hint Print References d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. O He: MA = HB = HC; HA: Not all popul his are equal He: HA S HB S HC; HA: Not all popu are equal. He: HA 2 HB 2 HC; HA: Not all p s are equal e-1. Calculate the value of the F(df1, of2) test statistic. (Round final answer to 3 decimal places.) Test statistic 2.894 -2. Find the p-value. O 0.05 s p-value