What price do farmers get for their watermelon crops? In the third week of July, a...

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What price do farmers get for their watermelon crops? In thethird week of July, a random sample of 44 farming regions gave asample mean of x = $6.88 per 100 pounds of watermelon.Assume that σ 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 theirwatermelon crop. What is the margin of error? (Round your answersto two decimal places.)

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(b) Find the sample size necessary for a 90% confidence level withmaximal error of estimate E = 0.43 for the mean price per100 pounds of watermelon. (Round up to the nearest wholenumber.)
  farming regions ?

(c) A farm brings 15 tons of watermelon to market. Find a 90%confidence interval for the population mean cash value of thiscrop. What is the margin of error? Hint: 1 ton is 2000pounds. (Round your answers to two decimal places.)

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