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 = $6.70 per 100 pounds of watermelon. assume that σ is known and σ = $1.85 per 100 pounds of watermelon.

a) what conditions of the problem allow you to use the standard normal distribution (s. n.
b) find a 85% confidence interval for the population mean µ (in units of $ per 100 pounds) that farmers in this region get for their watermelon crop.
c) what is the maximal margin of error, e (in units of $ per 100 pounds) found in b)?
d) what does a 85% confidence interval mean mathematically?
e) find the sample size necessary for a 85% condence level with maximal margin of error e = $0.3 per 100 pounds for estimating the population mean µ (in units of $ per 100 pounds).