QUESTION 43 Questions 39 - 43 concern the following idea: A sheep farmer in WA is considering changing breeds of sheep in the hope they will produce more wool (call the two breeds "new" and "old"). 10 sheep of each variety are raised in the same paddock and their first fleece is weighed. The data is analysed in R via a 2-sample t-test with a 2-sided hypothesis, and the output is summarized below (with some parts obscured with ??) Two Sample t-test data: weight by type t = 1.9387, df = ??, p-value = 0.06838 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: ?? ?? mean sd n new 5.68 0.838 10 old 4.98 0.776 10 Levene's Test for Homogeneity of Variance (center = "mean") Of F-value Pr(>F) group 1 0.0012 0.973 18 Let uA and up denote the mean amount of wool produced from the "new" and "old" breeds of sheep respectively, and OA and Op be the respective standard deviations. In answering the questions below, use a = 0.05 where necessary. One of the numbers above is written in red, which of the following is the best interpretation for that number? O a. p=0.973 > 0.05 so there is not significant evidence to reject the hypothesis that the variance in wool production of the two breeds is the same. O b. p=0.973 > 0.05 so there is not significant evidence to reject the hypothesis that the variance in wool production of the two breeds is different. O c. p=0.973 > 0.05 so there is not significant evidence to reject the hypothesis that the mean wool production of the two breeds of sheep is the same. O d. p=0.973 > 0.05 so there is not significant evidence to reject the hypothesis that the mean wool production of the two breeds is normally distributedQUESTION 44 Questions 44 - 51 concern the following idea: Bob runs a phone company called Phantastic Phones. He conducts a survey on a random sample of 500 of his customers, in which he asks questions about their phone use habits, expenditure on phones, and so on. A 95% confidence interval for the population mean phone bill of this company's customers is correctly calculated from the sample data as C1 = (63.93, 86.38). What was the sample mean monthly phone bill (correct to 2dp)