Consider the data set.

• 2 3 4 6 8

(a)Find the range. (Enter an exact number.) (b)Use the defining formula to compute the sample standard deviation s. (Enter a number. Round your answer to two decimal places.) (c)Use the defining formula to compute the population standard deviation . (Enter a number. Round your answer to two decimal places.)

(2) What price do farmers get for their watermelon crops? In the third week of July, a random sample of42farming regions gave a sample mean of= $6.88per 100 pounds of watermelon. Assume thatis known to be$1.96per 100 pounds.(a) Find a 90% confidence 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.)

(d) lower limit $ (e) upper limit $ (f) margin of error $ (3) Find the sample size necessary for a 90% confidence level with maximal error of estimateE=0.35for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.)

(g) farming regions (4) 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.)

(h)lower limit $ (i)upper limit $ (j) margin of error $