Question

Choose one option for each question: a) Analysis of Variance, b) one sample t-test for one population mean, c) one sample z-test for one population mean, d) Chi-squared Goodness of Fit, e) simple linear Regression 1) A farmer wants to know how much rabbits affect his crop yield. He counts the number of rabbit holes for several of his plots as well as the pounds of lettuce that plot yielded. 2) A suspicious gambler thinks that the six-sided die they have been given is not fair; that is, that the chance of a 1, 2, 3, 4, 5, and 6 are not equal. 3) A farmer suspects that their chickens are lighter than average for the chickens' breed. The breed is supposed to weigh 6 pounds after 10 weeks. The farmer takes a sample of 9 chickens from their brood, the mean of the sample is 6.3 pounds and the SD of the sample is 0.8 pounds. 4) The mean household income in a certain state is $70,000. We think a certain county might be more affluent, so we take a simple random sample of 190 households and find their reported income. The mean of the sample is $74,000, the SD of the sample is $21,000. 5) There are many different types of diets, but do some work better than others? Is low fat better than low carb or is some combination best? Researchers (Gardner et al. 2007) conducted a study involving four popular diets: Atkins (very low carb), Zone (40:30:30 ratio of carbs, protein, fat), LEARN (high carbohydrate, low fat), and Ornish (low fat). They randomly assigned women aged 25-50 with a body mass index (BMI) of 27-40 (overweight and obese) to one of the four diets. The 311 women who volunteered for the program were educated on their assigned diet and were observed periodically as they stayed on the diet for a year. At the end of the year, the researchers calculated the change in BMI (e.g., negative means reduction in BMI) for each woman and compared the results across the four diets.

Choose one option for each question: a) Analysis of Variance, b) one sample t-test for one population mean, c) one sample z-test for one population mean, d) Chi-squared Goodness of Fit, e) simple linear Regression

1) A farmer wants to know how much rabbits affect his crop yield. He counts the number of rabbit holes for several of his plots as well as the pounds of lettuce that plot yielded.

2) A suspicious gambler thinks that the six-sided die they have been given is not fair; that is, that the chance of a 1, 2, 3, 4, 5, and 6 are not equal.

3) A farmer suspects that their chickens are lighter than average for the chickens' breed. The breed is supposed to weigh 6 pounds after 10 weeks. The farmer takes a sample of 9 chickens from their brood, the mean of the sample is 6.3 pounds and the SD of the sample is 0.8 pounds.

4) The mean household income in a certain state is $70,000. We think a certain county might be more affluent, so we take a simple random sample of 190 households and find their reported income. The mean of the sample is $74,000, the SD of the sample is $21,000.

5) There are many different types of diets, but do some work better than others? Is low fat better than low carb or is some combination best? Researchers (Gardner et al. 2007) conducted a study involving four popular diets: Atkins (very low carb), Zone (40:30:30 ratio of carbs, protein, fat), LEARN (high carbohydrate, low fat), and Ornish (low fat). They randomly assigned women aged 25-50 with a body mass index (BMI) of 27-40 (overweight and obese) to one of the four diets. The 311 women who volunteered for the program were educated on their assigned diet and were observed periodically as they stayed on the diet for a year. At the end of the year, the researchers calculated the change in BMI (e.g., negative means reduction in BMI) for each woman and compared the results across the four diets.

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