The following are six observations collected from treatment 1, four observations collected from treatment 2, and five observations collected from treatment 3. Test the hypothesis at the 0.05 significance level that the treatment means are equal.   Treatment 1 Treatment 2 Treatment 3 9 13 10 7 20 9 11 14 15 9 13 14 12   15 10         a. State the null and the alternate hypothesis. b. What is the decision rule? (Round your answer to 2 decimal places.)   c. Compute SST, SSE, and SS total. (Round your answers to 2 decimal places.)   d.omplete the ANOVA table. (Round your SS, MS and F values to 2 decimal places.)                      ss          df           ms                 f tretmant  error total   e. State your decision regarding the null hypothesis.

6) The following data summarize the results from an independent-measures study comparing three treatment conditions. Treatment II 3. 6. N= 12 10 G = 60 1 10 EX = 392 1 5. 6. M = 3 M = 4 M= 8 T= 12 T= 16 T= 32 SS = 8 SS = 12 SS = 16 a) Use an ANOVA with a = .05 to determine whether there are any significant differences among the three treatment means. b) Calculate n² to measure the effect size for this study. c) Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size. 3.

You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 .      Ho:μ1=μ2  Ha:μ1≠μ2   You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5   What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α     greater than α   This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. There is not sufficient…

What are the independent and dependent variables for the following examples? What statistical test would you use for each of the following scenarios? What would you set your alpha-level at? Sally wants to examine whether there is a difference in muscular strength between participants who engaged in an 8-week resistance training program and participants who engaged in an 8-week endurance training program. The participants only took part in one of the 8-week programs, not both. What test would she use to determine whether the differences in muscular strength are significant? Why?