What price do farmers get for their watermelon crops? In the third week of July, a random sample of41farming regions gave a sample mean of= $6.88per 100 pounds of watermelon. Assume thatis known to be$2.00per 100 pounds.

a)Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.25 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.)

farming regions=

(b)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=

upper limit=

margin of error=