The WPC Sports Company has noted that the size of individual "customer order" is normally distributed with a mean of $100 and standard deviation of $12. If a soccer team of 16 players were to make the next batch of orders, what would be the standard error of the mean?

Nellie lumpkin, who suffered from dementia, was admitted to the picayune convalescent center, a nursing home. because of her mental condition, her daughter, beverly mcdaniel, signed the admissions agreement. it included a clause requiring the par- ties to submit any dispute to arbitration. after lumpkin left the center two years later, she filed a suit against picayune to recover damages for mistreatment and malpractice. [covenant health & rehabilitation of picayune, lp v. lumpkin, 23 so.2d 1092 (miss. app. 2009)] (see page 91.) 1. is it ethical for this dispute—involving negligent medical care, not a breach of a commercial contract—to be forced into arbitration? why or why not? discuss whether medical facilities should be able to impose arbitration when there is generally no bargaining over such terms.

You are the manager of a large crude-oil refinery. as part of the refining process, a certain heat exchanger (operated at high temperatures and with abrasive material flowing through it) must be replaced every year. the replacement and downtime cost in the first year is $165 comma 000. this cost is expected to increase due to inflation at a rate of 7% per year for six years (i. e. until the eoy 7), at which time this particular heat exchanger will no longer be needed. if the company's cost of capital is 15% per year, how much could you afford to spend for a higher quality heat exchanger so that these annual replacement and downtime costs could be eliminated?

White truffles are a very prized and rare edible fungus that grow naturally in the countryside near alba, italy. suppose that it costs $200 per day to search for white truffles. on an average day, the total number of white truffles (t) found in alba is t = 20x − x 2 , where x is the number of people searching for white truffles on that day. white truffles can be sold for $100 each. if there is no regulation, how many more people will be searching for white truffles than the socially optimal number?