A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results below. Sample Service Life hours
1 495 500 505 500
2 525 515 505 515
3 470 480 460 470
If he uses upper and lower control limits of 540 and 460 hours. What is his risk alpha of concluding service life is out of control when it is actually under control Type I error?
a. 0.6826
b. 0.0456
c. 0.0026
d. 0.3174
e. 0.9544

1tanner invested $135,000 cash along with office equipment valued at $32,400 in the company in exchange for common stock. 2 the company prepaid $7,200 cash for 12 months’ rent for office space. (hint: debit prepaid rent for $7,200.) 3 the company made credit purchases for $16,200 in office equipment and $3,240 in office supplies. payment is due within 10 days. 6 the company completed services for a client and immediately received $2,000 cash. 9 the company completed a $10,800 project for a client, who must pay within 30 days. 13 the company paid $19,440 cash to settle the account payable created on april 3. 19 the company paid $6,000 cash for the premium on a 12-month insurance policy. (hint: debit prepaid insurance for $6,000.) 22 the company received $8,640 cash as partial payment for the work completed on april 9. 25 the company completed work for another client for $2,640 on credit. 28 the company paid $6,200 cash in dividends. 29 the company purchased $1,080 of additional office supplies on credit. 30 the company paid $700 cash for this month’s utility bill. prepare general journal entries to record these transactions. 2. post the journal entries from part 1 to the ledger accounts.

Alandowner and his neighbor purchased adjoining undeveloped lots. after both built homes on their respective lots, the landowner suggested to the neighbor that a common driveway be built where the two lots joined. the neighbor agreed. the landowner and the neighbor split the cost of constructing the driveway and entered into a written agreement to equally share the costs of its upkeep and maintenance. the agreement was recorded in the county recorder's office. two years later, the neighbor built a new driveway located entirely on his lot. the common driveway, which the landowner continued to use but which the neighbor no longer used, began to deteriorate. the landowner asked the neighbor for money to maintain the common driveway, but the neighbor refused to contribute. three years later, the neighbor conveyed his lot to a friend. the friend entered into possession and used only the driveway built by the neighbor. by this time, the common driveway had deteriorated badly and contained numerous potholes. the landowner asked the friend to pay half of what it would take to repair the common driveway. the friend refused. the landowner repaired the driveway and sued the friend for 50% of the cost of repairs. will the landowner prevail?

As a result of a labeling mistake at the chemical factory, a farmer accidentally sprays weedkiller rather than fertilizer on half her land. as a result, she loses half of her productive farmland. if the property of diminishing returns applies to all factors of production, she should expect to seea. a decrease in the marginal productivity of her remaining land and an increase in the marginal productivity of her labor. b. an increase in the marginal productivity of her remaining land and an increase in the marginal productivity of her labor. c. an increase in the marginal productivity of her remaining land and a decrease in the marginal productivity of her labor. d. a decrease in the marginal productivity of her remaining land and a decrease in the marginal productivity of her labor.