Answer Happy

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 19 20 19 17 27 30 32 31 17 19 15 XA = 22.8 XB = 23.4 XC = 23.2 SA = 41.2 SB = 43.3 S = 40.7 picture Click here for the Excel Data File a. Calculate the grand mean. (Round final answer to 4 decimal places.) Grand mean 23.1000 b. Calculate SSTR and MSTR. (Round final answers to 4 decimal places.) SSTR 5.7330 MSTR 2.8670 c. Calculate SSE and MSE. (Round final answers to 4 decimal places.) SSE 560.0000 MSE 46.6670 0 C2223H С 20 26
d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. HO: HA = HB = MC; HA: Not all population means are equal. O HO: HA ≤ MB ≤ HC; HA: Not all population means are equal. OHO: HA ≥ MB ≥ 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 0.941 e-2. Find the p-value. O p-value Picture 0.10 0.05 Picture p-value < 0.10 O 0.025 Picture p-value < 0.05 O 0.01 Picture p-value < 0.025 O p-value < 0.01
f. At the 10% 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. 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. g. Interpret the results at α = 0.10.