i) Losses for each employee of a given policyholder are independent and have a common mean and variance. ii) The overall average loss per employee for all policyholders is 20. iii) The variance of the hypothetical means is 40. iv) The expected value of the process variance is 8000. v) The following experience is observed for a randomly selected policyholder: Average Loss per Employee 15 Number of Year Employees 1 800 10 600 3 400 Determine the Bühlmann-Straub credibility premium per employee for this policyholder. CA) Less than 10.5 B) At least 10.5, but less than 11.5 C) At least 11.5, but less than 12.5 D) At least 12.5, but less than 13.5 E) At least 13.5
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- Vaughn Family Instruments makes cellos. During the past year, the company made 6,560 cellos even though the budget planned for only 5,710. The company paid its workers an average of $20 per hour, which was $0.50 higher than the standard labor rate. The production manager budgets 4 direct labor hours per cello. During the year, a total of 24,450 direct labor hours were worked.(a) Calculate the direct labor rate and efficiency variances. (If variance is zero, select "Not Applicable" and enter 0 for the amounts.) Direct labor rate variance $enter the direct labor rate variance in dollars select an option Direct labor efficiency variance $4.A college student is interested in whether there is a difference between male and female students in the amount of time they spend studying each week period the student gathers information from a random sample of male and female students on campus. The amount of time spent studying is normally distributed. The data are: Male Female 27 25 25 29 19 18 10 23 16 20 22 15 14 19 What statistical test should be done to analyze these data? Identify Ho and Ha for this study. Conduct the appropriate analysis. Should Ho be rejected? What should the researcher conclude? If significant, compute and interpret the effect size.A statistical program is recommended. Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars). Weekly Usage(hours) AnnualMaintenanceExpense 13 17.0 10 22.0 20 30.0 28 37.0 32 47.0 17 30.5 24 32.5 31 39.0 40 51.5 38 40.0 #1) Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two decimal places.) #2) The expected expense of a machine being used 34 hours per week is $ hundred.