1. An analyst is interested in testing whether four populations have equal means. The following sample data have been collected from populations that are assumed to be normally distributed with equal variances: Sample 1 Sample 2 Sample 3 Sample 4 12 8 17 16 8 15 11 16 12 17 14 12 16 14 10 13 Conduct the appropriate hypothesis test using a significance level equal to 0.05. 2. Respond to each of the following questions using this partially completed one-way ANOVA table: Source of Variation 55 df MS F-ratio Between Samples 3 Within Samples 405 Total 388 31 a. How many different populations are being considered in this analysis? b. Fill in the ANOVA table with the missing values. c. State the appropriate null and alternative hypotheses. d. Based on the analysis of variance F-test, what conclusion should be reached regarding the null hypothesis? Test using a = 0.05. 3. Given the following sample data Item Group-1 |Group-2 | Group-3 Group-4 20.9 28.2 17.8 21.2 27.2 26.2 15.9 23.9 3 26.6 21.6 18.4 19.5 22.1 29.7 20.2 17.4 25.3 30.3 14.1 30.1 25.9 7 23.8 a. Based on the computations for the within- and between-sample variation, develop the ANOVA table and test the appropriate null hypothesis using a = 0.05. Use the p-value approach 4. The billing department of a national cable service company is conducting a study of how customers pay their monthly cable bills. The cable company accepts payment in one of four ways: in person at a ocal office, by mail, by credit card, or by electronic funds transfer from a bank account. The cable