The mean income per person in the United States is $36,500, and the distribution of incomes follows a normal distribution. A random sample of 10 residents of Wilmington, Delaware, had a mean of $41,500 with a standard deviation of $8,600. At the 0.050 level of significance, is that enough evidence to conclude that residents of Wilmington, Delaware, have more income than the national average?a) State the null hypothesis and the alternate hypothesis.

b) State the decision rule for 0.100 significance level. (Round your answer to 3 decimal places.)

c) Compute the value of the test statistic. (Round your answer to 2 decimal places.)

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

Taking commercial paper means the holder acts honestly

Sally mitchell works as a manager at an environmental organization. she is currently working on a global warming project and decides which tasks related to creating awareness about the issue need to be done. in addition, she is also deciding which members of her team will work on engaging with the public and which will work on lobbying with the government. she is also assigning people as team members to ensure that tasks are undertaken on time. which of the following categories of functions is mitchell undertaking? envisioning organizing controlling planning