4. Along with interest rates, life expectancy is a component in pricing financial annuities.Suppose that you know that last year average life expectancy was 77 years for your annuityholders. Now you want to know if your clients this year have a longer life expectancy, onaverage, so you randomly sample n=20 of your recently deceased annuity holders to see actualage at death. Using a 5% level of significance, test whether or not the new data shows evidenceof your annuity holders now live longer than 77 years, on average. The data below are thesample data (in years of life):(78,75,83,81,81,77,78,79,79,81,76,79,77,76,79,81,73,74,78,79)a) Does this sample indicate that life expectancy has increased? Test an appropriatehypothesis and state your conclusion (use a 5% level of significance). Be sure to check thenecessary assumptions and conditions before conducting your test.b) Construct A 90% confidence interval for the true average age of death for the populationof your annuity holders. Explain why your confidence interval agrees or not statisticallywith your hypothesis testing decision in part a).c) Suppose that you want to construct 90% confidence interval that has a margin of error ofone half of a year. What size sample would you need at a minimum?

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Description: 4. Along with interest rates, life expectancy is a component in pricing financial annuities.Suppose that you know that last year average life expectancy was 77 years for your annuityholders. Now you want to know if your clients this year have a long

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a) Does this sample indicate that life expectancy has increased? Test an appropriate hypothesis and state your conclusion (use a 5% level of significance). Be sure to check the necessary assumptions and conditions before conducting your test. b) Construct A 90% confidence interval for the true average age of death for the population of your annuity holders. Explain why your confidence interval agrees or not statistically with your hypothesis testing decision in part a). c) Suppose that you want to construct 90% confidence interval that has a margin of error of one half of a year. What size sample would you need at a minimum?

a) Does this sample indicate that life expectancy has increased? Test an appropriate hypothesis and state your conclusion (use a 5% level of significance). Be sure to check the necessary assumptions and conditions before conducting your test. b) Construct A 90% confidence interval for the true average age of death for the population of your annuity holders. Explain why your confidence interval agrees or not statistically with your hypothesis testing decision in part a). c) Suppose that you want to construct 90% confidence interval that has a margin of error of one half of a year. What size sample would you need at a minimum?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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