Suppose a new standardized test is given to 99 randomly selected third-grade students in New Jersey. The sample average score Upper Y overbar on the test is 55 points, and the sample standard deviation, s Subscript Upper Y, is 10 points.

a. The authors plan to administer the test to all third-grade students in New Jersey. The 95% confidence interval for the mean score of all New Jersey third graders is ( 53.0204, 56.9796). (Round your responses to two decimal places.)
b. Suppose the same test is given to 198 randomly selected third graders from Iowa, producing a sample average of 59 points and sample standard deviation of 13 points. The 90% confidence interval for the difference in mean scores between Iowa and New Jersey is ( nothing, nothing). (Round your responses to two 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.

The demand curve determines equilibrium price in a market. is a graphical representation of the relationship between price and quantity demanded. depicts the relationship between production costs and output. is a graphical representation of the relationship between price and quantity supplied.

The petty cash fund has a current balance of $ 350, which is the established fund balance. based on activity in the fund, it is determined that the balance needs to be changed to $ 450. which journal entry is needed to make this change?