Given the following process control data for a normally distributed quality variable (four samples of size five each): Sample Measurements
8am 11.6 11.9 12.0 12.2 11.8
9am 12.1 11.8 11.9 12.0 11.8
10am 11.8 12.9 12.1 12.8 11.9
11am 12.0 12.2 12.1 12.2 13.0

If the process is known to have a mean of 12.0 and an average range of 0.5 (5 observations per sample), using three-sigma control limits, do any of the sample means indicate an out-of-control process, and if so, which specifically?

the question using the following data, which show all available techniques for producing 20 units of a particular commodityresource resource prices possible production techniques#1 #2 #3 #4 #5land $4 2 4 2 4 4labor 3 1 2 4 1 3capital 3 5 2 3 1 2entrepreneurial ability 2 3 1 1 4 1assuming that the firm is motivated by self-interest and that the 20 units that can be produced with each technique can be sold for $2 per unit, the firm will

You have just received notification that you have won the $2.0 million first prize in the centennial lottery. however, the prize will be awarded on your 100th birthday (assuming you're around to collect), 66 years from now. what is the present value of your windfall if the appropriate discount rate is 8 percent?

For each of the following cases determine the ending balance in the inventory account. (hint: first, determine the total cost of inventory available for sale. next, subtract the cost of the inventory sold to arrive at the ending balance.)a. jill’s dress shop had a beginning balance in its inventory account of $40,000. during the accounting period jill’s purchased $75,000 of inventory, returned $5,000 of inventory, and obtained $750 of purchases discounts. jill’s incurred $1,000 of transportation-in cost and $600 of transportation-out cost. salaries of sales personnel amounted to $31,000. administrative expenses amounted to $35,600. cost of goods sold amounted to $82,300.b. ken’s bait shop had a beginning balance in its inventory account of $8,000. during the accounting period ken’s purchased $36,900 of inventory, obtained $1,200 of purchases allowances, and received $360 of purchases discounts. sales discounts amounted to $640. ken’s incurred $900 of transportation-in cost and $260 of transportation-out cost. selling and administrative cost amounted to $12,300. cost of goods sold amounted to $33,900.a& b. cost of goods avaliable for sale? ending inventory?