Question: 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.17 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.
![1895_Biology.png](https://secure.tutorsglobe.com/CMSImages/1895_Biology.png)
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.