1.A concerned mother counted the number of swear-words in her child's television show. After watching 16 random episodes, she found that the results were normally distributed and the average number of swear-words was 2 per episode with a standard deviation of 1.

a.Find the 95% confidence interval of this distribution.

b.If you were to find the 90% confidence interval, would it be wider or narrower than the one above? Why?