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Please help me with the following questions QUESTION 10 Over the past five years an insurance company has had a mix of 40% whole life

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Please help me with the following questions

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QUESTION 10 Over the past five years an insurance company has had a mix of 40% whole life policies, 20% universal life policies, 25% annual renewable-term (ART) policies, and 15% other types of policies. A change in this mix over the long haul could require a change in the commission structure, reserves, and possibly investments. A sample of 1000 policies issued over the last few months gave the following results, which you will use to answer questions 10 and 11. Category Number of Policies Whole Life 320 Universal Life 280 ART 240 Other 160 It turns out that at level of significance 0.05 one can reject the hypothesis that the policies issued in the last few months match the historical percentages. Which of the following is true of the x- test used to reach this conclusion? O a. The statistic is 49.07 and the P-value is less than 0.005. O b. The statistic is 43.90 and the P-value is less than 0.005. O C. The statistic is 43.90 but the x- table tells us nothing about the P-value. O d. The statistic is 10.71 and the P-value is between 0.01 and 0.025. O e. The statistic is 49.07 but the y table tells us nothing about the P-value. QUESTION 11 Which of the following is the best conclusion as to why the x- test was significant? O a. All four percentages have changed substantially. O b. None of the percentages has changed very much. O c. The insurance salesman who collected the data fudged the numbers. O d. The percentages of Whole Life and Universal Life policies have both increased substantially. e. The percentages of ART and other policies haven't changed much, but the percentages of Whole Life and Universal Life have decreased and increased, respectively.QUESTION 12 A model for the one-way ANOVA is Xij = Mitej, j= 1,...,0;, i= 1,...,K, where the variance of each sq is of. Assuming all our usual conditions on this model, the standard error of X1 Oa is o/ vn1. O b. is o. OcisHI/Vn1. O d. is H1. O e. cannot be determined from the information given.QUESTION 13 A biomedical researcher wants to test the effectiveness of a synthetic antitoxin. Twelve randomly selected subjects are tested for resistance to a particular poison. They are retested after receiving the antitoxin. Below are the differences between before and after readings for the subjects. A positive value indicates that the subject's resistance to the poison has increased. Subject 1 2 3 4 5 6 7 8 9 10 11 12 Difference -0.2 1.3 2.0 2.7 -1.6 0.7 -0.1 -0.5 0.9 0.9 -1.2 0.6 Let u be the median difference between before and after resistance readings. The value of S+ for the data is 54. The Z - statistic and P-value for the signed - rank test of Ho: H = Ovs. Ha: P > 0 are O a. 1.177 and 0.120. O b. 1.177 and 0.240. O c. 1.269 and 0. 102. O d. 0.577 and 0.564. O e. 0.577 and 0.282

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