Suppose there is a very tight political race and we want to gauge support for candidate A. Let Mn = 1/n Σ Xi denote the proportion of polled people supporting candidate A and let p denote the true proportion. Further suppose we want to poll enough people to ensure that we are within ±1% of 95% of the time. Stated mathematically, we would like to find n such that:

P(Mn - p > 0.01) < 0.05 (1) when E(Xi) = p.

Required:
a. Show that the variance of Bernoulli(p) is maximized when p=0.5.
b. Using the worst-case variance from part a) and a Normal approximation, find the n such that (1) is satisfied.
c. Again using the worst-case variance, use Chebychev's inequality to find a bound for n.

Management discovers that a supervisor at one of its restaurant locations removes excess cash and resets sales totals throughout the day on the point-of-sale (pos) system. at closing, the supervisor deposits cash equal to the recorded sales on the pos system and keeps the rest.the supervisor forwards the close-of-day pos reports from the pos system along with a copy of the bank deposit slip to the company’s revenue accounting department. the revenue accounting department records the sales and the cash for the location in the general ledger and verifies the deposit slip to the bank statement. any differences between sales and deposits are recorded in an over/short account and, if necessary, followed up with the location supervisor. the customer food order checks are serially numbered, and it is the supervisor’s responsibility to see that they are accounted for at the end of each day. customerchecks and the transaction journal tapes from the pos system are kept by the supervisor for 1 week at the location and then destroyed.what control allowed the fraud to occur?

Elliott company produces large quantities of a standardized product. the following information is available for its production activities for march. units costs beginning work in process inventory 2,500 beginning work in process inventory started 25,000 direct materials $ 3,725 ending work in process inventory 5,000 conversion 11,580 $ 15,305 status of ending work in process inventory direct materials added 185,750 materials—percent complete 100 % direct labor added 182,375 conversion—percent complete 30 % overhead applied (140% of direct labor) 255,325 total costs to account for $ 638,755 ending work in process inventory $ 62,530 prepare a process cost summary report for this company, showing costs charged to production, unit cost information, equivalent units of production, cost per eup, and its cost assignment and reconciliation. use the weighted-average method. (round "cost per eup" to 2 decimal places.)

Materials purchases (on credit). direct materials used in production. direct labor paid and assigned to work in process inventory. indirect labor paid and assigned to factory overhead. overhead costs applied to work in process inventory. actual overhead costs incurred, including indirect materials. (factory rent and utilities are paid in cash.) transfer of jobs 306 and 307 to finished goods inventory. cost of goods sold for job 306. revenue from the sale of job 306. assignment of any underapplied or overapplied overhead to the cost of goods sold account. (the amount is not material.) 2. prepare journal entries for the month of april to record the above transactions.