What is the appropriate statistical analysis to use: t-test for two independent samples, t-test for dependent samples, ANOVA, or chi-square test of independence? Please identify and explain why it is appropriate. (a) A study was conducted to see whether monetary incentives to use less water during times of drought had an effect on water usage. Sixty single-family homeowners were randomly assigned to one of two groups: 1) monetary incentives and 2) no monetary incentives. At the end of three months, the total amount of water usage for each household, in gallons, was measured. (b) A study was conducted to see whether the mean weight loss is the same for 10 different weight loss programs. Each of the 10 programs had 50 subjects in it. The subjects were followed for 12 months. Weight change for each subject was recorded.
a) In this study, there are two independent samples/groups - one with monetary incentives and other with no incentives. We need to find the difference in means of water usage between these two groups. Hence, we will use an independent samples t-test. The dependent variable is the water usage and the independent variable is the monetary incentive.
(B) In this study, we need to compare the mean weight change for each of the different 10 programs. As we have more than two independent groups here, we will use ANOVA to test the same. The Independent variable would be the type of program and the DV would be the weight change.
Answer: ANOVA
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