6. Eric Roberts, Inc. is a company that specializes in tax-deferred investment opportunities forits clients. Recently, this company offered a payroll deduction investment program for theemployees of a particular company. The company estimates that the employees are currentlyaveraging $110 or less per month in tax-deferred investments. A sample of 80 employeeswill be used to test the company's hypothesis about the current level of investment activityamong the population of employees. Assume the employee monthly tax-deferred investmentamounts have a standard deviation of $70 and that a 0.05 level of significance will be used inthe hypothesis test. What is the probability of the Type II error if the actual mean employeemonthly investment is $125?

Given information- Population mean, μ = $110 Population standard deviation, σ = $70 Sample size, n =…

Answered: 6. Eric Roberts, Inc. is a company that…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1056 in 2018. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ = $1,600 may be assumed. Test the researcher's assertion using the critical value approach. Use α = 0.05 (Please include all the 7 steps in hypothesis testing) Steps in hypothesis testing p-value Approach Develop the null and alternative hypothesis Specify the level of significance, α Choose the test statistic (z or t) Calculate the test statistic Use the value of the…
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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 annuity holders. Now you want to know if your clients this year have a longer life expectancy, on average, so you randomly sample n=20 of your recently deceased annuity holders to see actual age at death. Using a 5% level of significance, test whether or not the new data shows evidence of your annuity holders now live longer than 77 years, on average. The data below are the sample 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 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…
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