Adesign 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:
sample service life
1 495 500 505 500
2 525 515 505 515
3 470 480 460 470
what is the sample mean service life for sample 2?
a) 460 hours
b) 495 hours
c) 515 hours
d) 525 hours

Eileen's elegant earrings produces pairs of earrings for its mail order catalogue business. each pair is shipped in a separate box. she rents a small room for $150 a week in the downtown business district that serves as her factory. she can hire workers for $275 a week. there are no implicit costs. what is the marginal product of the second worker?

2. the language of price controls consider the market for rental cars. suppose that, in a competitive market without government regulations, the equilibrium price of rental cars is $58 per day, and employees at car rental companies earn $19.50 per hour. complete the following table by indicating whether each of the statements is an example of a price ceiling or a price floor and whether it results in a shortage or a surplus or has no effect on the price and quantity that prevail in the market. statement price control effect there are many teenagers who would like to work at car rental companies, but the minimum-wage law sets the hourly wage at $23.00. the government has instituted a legal minimum price of $87 per day for rental cars. the government prohibits car rental companies from renting out rental cars for more than $87 per day.

Fred smithers, a recent college graduate decided to open his own portable juice bar, smithers smoothies, to wheel around newport beach. you, a trusted friend of fred, are a business major that has also recently graduated and agreed to handle the books for a while to get some practical experience and have a favor that you can ask of fred in the future. given the following five transactions concerning the new venture, prepare the necessary journal entries for the transactions, post the journal entries to appropriate t accounts and prepare a trial balance as of the end of the month in order to answer to the necessary may 2: fred invests $12,000 of his own money to start the new company. this money was obtained from a part-time job working at a legal firm while he was in school. may 3: fred spent $5,100 cash to purchase a refrigerated trailer that he can pull behind his car and set up at the beach. under your advice, fred agrees to place the new asset under an account called "equipment." may 6: fred bought $640 of supplies on account from the flav-o-rite confectioners company. because they will last longer than a single accounting period fred agrees to record them as, "supplies" as per your suggestion. may 13: fred sat on the beach for six hours without a single sale and was feeling very down. right before he left, however, a plumber escorting his family reunion along the beach stopped by his stand and bought $800 worth of smoothies for the entire family. under your advice, fred agrees to call this cash revenue, "sales." may 15: excited about his new venture, fred withdraws $350 from the company to take his girlfriend out to dinner. what would be the balance in the cash account at the end of the period following the posting of all the transactions?