What price do farmers get for their watermelon crops? In the third week of July, a random sample of40farming regions gave a sample mean of= $6.88per 100 pounds of watermelon. Assume thatis known to be$1.94per 100 pounds.(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) lower limit$ (A)______ upper limit$ (B)______ margin of error$ (C)______ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimateE=0.27for the mean price per 100 pounds of watermelon. (D) __________ farming regions (c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)?Hint:1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ -(E)______ upper limit $ -(F)______ margin of error -(G)______