A business firm engaged in manufacturing a simple hosiery item is employing 100 male and 144 female workers. The average production per day of a male worker is 60 items with a variance of 15 items and that of a female worker is 65 items with a variance of 12 items. Based on independent samples of 36 males and 40 females, find the probability that the average production of females is more than that of males by more the 6 items assuming sampling with replacement and without replacement.​

Elon musk is the ceo of tesla motors. musk also serves as chairman of tesla's board. according to corporate governance theory, which of the following is a logical reason why musk should serve on the board? 1. he serves on many other boards, including that of a major client of tesla.2. his is an independent director who is well positioned to monitor the company's management.3. he can easily fire board members that are shirking their duties.4. he can provide the board with valuable inside information about the firm and the industry.

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

Oerstman, inc. uses a standard costing system and develops its overhead rates from the current annual budget. the budget is based on an expected annual output of 120,000 units requiring 480,000 direct labor hours.(practical capacity is 500,000 hours)annual budgeted overhead costs total $772,800, of which $556,800 is fixed overhead. a total of 119,300 units, using 478,000 direct labor hours, were produced during the year. actual variable overhead costs for the year were $260,400 and actual fixed overhead costs were $555,450.required: 1. compute the fixed overhead spending variance and indicate if favorable or unfavorable.2. compute the fixed overhead volume variance and indicate if favorable or unfavorable.