A random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the Ftable.) Treatments A B T 28 16 21 21 24 26 24 32 25 29 19 27 28 21 21 X4 = 24.4 l:ll.# Xc = 24.9 5 = 16.3 Sp = 37.3 S50 = B.0 [#picture Click here for the Excel Data File a. Calculate the grand mean. (Reund final answer to 4 decimal places.) b. Calculate 55TR and M5TR. (Round final answers to 4 decimal places.) c. Calculate SSE and MSE. (Round final answers to 4 decimal places.) SSE MSE d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. He: HA = HB = UC: HA: Not all population means are equal. OHg: HA S HB SUC; HA: Not all population means are equal. OHg: HA 2 MB 2 UC; HA: Not all population means are equal. e-1. Calculate the value of the Fray,, or, ) test statistic. (Round final answer to 3 decimal places.) Test statistic 0.348 e-2. Find the p-value. Op-value 2 0.10 9 0.05