What price do farmers get for their watermelon crops? In the third week of July, a random sample of 42 farming regions g

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What price do farmers get for their watermelon crops? In thethird week of July, a random sample of 42 farming regionsgave a sample mean of =$6.88 per 100 pounds of watermelon. Assume that 𝜎 isknown to be $2.00 per 100 pounds.
(a) Find a 90% confidence interval for the population meanprice (per 100 pounds) that farmers in this region get for theirwatermelon crop (in dollars). What is the margin of error (indollars)? (For each answer, enter a number. Round your answers totwo decimal places.)lower limit $ _________upper limit $ ________margin of error $ _______
(b) Find the sample size necessary for a 90% confidence levelwith maximal error ofestimate E = 0.41 for the mean priceper 100 pounds of watermelon. (Enter a number. Round up to thenearest whole number.)________ farming regions
(c) A farm brings 15 tons of watermelon to market. Find a90% confidence interval for the population mean cash value of thiscrop (in dollars). What is the margin of error (indollars)? Hint: 1 ton is 2000 pounds. (For eachanswer, enter a number. Round your answers to two decimalplaces.)lower limit $ _________upper limit $ _________margin of error $________