What price do farmers get for their watermelon crops? In the third week of July, a random sample of 45 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. Assume that is known to be $1.92 per 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 $ __________ upper limit $ __________ margin of error $ __________ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.31 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming regions____________