Biology and Environmental Science
For the week ending 5/29/13, the Iowa Department of Agriculture reported the mean weight of barrows and gilts (young male and female hogs) as 275.4 pounds. To check this claim, a random sample of hogs was obtained and each was carefully weighed. The weight (in pounds) of each is given in the following table.
|
269.7
|
253.2
|
277.3
|
264.1
|
264.2
|
266.7
|
|
267.4
|
268.3
|
268.2
|
272.4
|
259.7
|
263.3
|
a. Assuming the underlying distribution of barrow and gilt weights is normal, find a 95% confidence interval for the true mean weight of barrows and gilts.
b. Using your answer in part (a), is there any evidence to suggest that the claim (μ = 275.4) is wrong? Justify your answer.