An analyst, using a random sample of n = 500 families, obtained a 90% confidence interval for mean monthly family income for a large population: ($2700, $3300). if the analyst had sampled 1000 families instead, what would be different? the new interval from 1000 families would be narrower (shorter). the intervals would have the same width. the answer cannot be determined from the information given. the new interval from 1000 families would be wider (longer). we cannot say because the condition for randomness, independence, or normality is not met.

Which of the following statements is correct? a) due to limited liability, unlimited lives, and ease of ownership transfer, the vast majority of u.s. businesses (in terms of number of businesses) are organized as corporationsb) most businesses (by number and total dollar sales) are organized as proprietorships or corporation. however, if the business gets very large, it becomes advantageous to convert to a corporation, primarily because corporations have important tax advantages over proprietorships and partnerships.c) due to legal considerations related to ownership transfers and limited liability, which affect the ability to attract capital, most business (measured by dollar sales) is conducted by corporations in spite of large corporations' less favorable tax treatmentd) large corporations are taxed more favorably than proprietorshipse) corporate stockholders are exposed to unlimited liability

You plan to invest some money in a bank account. which of the following banks provides you with the highest effective rate of interest? hint: perhaps this problem requires some calculations. bank 1; 6.1% with annual compounding. bank 2; 6.0% with monthly compounding. bank 3; 6.0% with annual compounding. bank 4; 6.0% with quarterly compounding. bank 5; 6.0% with daily (365-day) compounding.

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?