Answer the following microeconomics questions

Example 5.8.1. Ten years ago a woman aged exactly 35 effected an assurance policy by level annual premiums payable for & maximum of 25 years. The policy provided the following benefits: (i) a whole life assurance benefit of f2,000 payable at the end of the year of death, (ii) a family income benefit of term 25 years, with payments of /300 per month, beginning im- mediately on death, if this occurs within 25 years. The final payment is made in the month ending 25 years after the issue date. Calculate the annual premium on the basis given below: A1967-70 6% interest expenses are 3% of all premiums.(i) (ii) Two inspectors carry out property valuations for an estate agency. Over a particular week they each go out to similar properties. The table below shows their valuations (in 0005}: A 102 98 93 86 92 94 89 9? B So 33 92 95 9S 9? 94 92 91 (a) Make an informative plot of these data. {b} Comment on an assumption of equal variance for the two underlying populations. (c) With the equal variance assumption of {b}, calculate a 95% condence interval for this common variance. (d) Calculate a 95% confidence interval for the mean difference between the valuations by A and B, and comment briey on the result. The estate agency employing the inspectors decides to test their valuations by sending them each to the same set of eight houses, independently and without knowledge that the other is going. The resulting valuations (in 0005} follow: Properly 1 2 3 4 5 IS 7' 3 A 94 93 102 132 113 121 106 123 B 92 96 111 129 111 122 101 113 (a) Make an informative plot of these data. {b} Calculate a 90% condence interval for the mean difference between valuations by A and B, and comment briefly on the result