Question

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 43 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that o is known to be $1.96 per 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.) lower limit $ upper limits margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.41 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming 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 limits margin of error $

Answer 1

Question 1:

(a)

6.39	confidence interval 90.% lower
7.37	confidence interval 90.% upper
0.49	margin of error

(b) 62

(c)

1,916.51	confidence interval 90.% lower
2,211.49	confidence interval 90.% upper
147.49	margin of error

Question 2:

(a)

10.17	mean Data
0.95	std. dev.

(b)

8.73	confidence interval 99.9% lower
11.61	confidence interval 99.9% upper

(c) No. This confidence interval suggests that the patient no longer has a calcium deficiency.

Please give me a thumbs-up if this helps you out. Thank you!