Testing a claim using a mean weight, standard deviation and confidence levels.

A vendor sells turkeys to a restaurant chain. He claims that the mean weight of the turkeys is more than 15 pounds. A sample of 16 turkeys yields a mean of weight of 14 pounds and a standard deviation of 4 pounds. At a significance level of 0.05 shall we reject the vendor's claim? Set up the Hypothesis test in "standard form" and then carry out the test:


1. Lower limit = M - t*s

2. Upper limit = M + t*s

3. Confidence interval of the mean is (M - t*s, M + t*s)


Finally, if m falls within the interval (M - t*s, M + t*s), we can accept H0; if not, we reject it.