6. [-16.25 Points] DETAILS BBBASICSTATBACC 8.1 .O1B.M|. MY NOTES ' ASK YOUR TEACHER What price do farmers get for their watermelon crops? In the third week of July, a random sample of 42 farming regions gave a sample mean of E = $6.38 per 100 pounds of watermelon. Assume that 0' is known to be $1.94 per 100 pounds. (a) Find a 90% condence 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 33 upper limit $ margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E : 0.27 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) C] 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 $ upper limit is margin of error 5)