A random sample of 43 female cottonmouth snakes yielded a sample mean of 8.31 snakes per litter. Assume that $\sigma= 2.4$.

a) Use the data provided above to obtain an approximate 95.44% confidence interval for the mean number of young per litter of all female cottonmouths. Confidence interval: (, ).

b) How confident are you that your interval from part (a) contains the mean number of young per litter of all female cottonmouths? %.