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 σ is known to be $1.94 per 100 pounds.
(b)
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
____________ farmer 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 $ ___________
margin of error __________
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