When a poultry farmer uses his regular feed, the newborn chickens have normally distributed weights with a mean of $61.4$ oz. In an experiment with an enriched feed mixture, ten chickens are born with the following weights (in ounces). $$64.9, \ 65.9, \ 65.6, \ 65.2, \ 61.6, \ 66.8, \ 69.2, \ 65.2, \ 66, \ 64.6$$ Use the $\alpha=0.01$ significance level to test the claim that the mean weight is higher with the enriched feed.

(a) The sample mean is $\overline{x} =$

(b) The sample standard deviation is $s =$

(c) The test statistic is $t =$

(d) The critical value is $t^* =$

(e) The conclusion is

A. There is sufficient evidence to support the claim that with the enriched feed, the mean weight is greater than 61.4.
B. There is not sufficient evidence to support the claim that with the enriched feed, the mean weight is greater than 61.4.