2. Throughout Chapter 7, we have used the normal distribution, the central limit theorem, and the Student’s t distribution.

(a) Give a brief outline describing how confidence intervals for means use the normal distribution or Student’s t distribution in their basic construction.

(b) Give a brief outline describing how the normal approximation to the binomial distribution is used in the construction of confidence intervals for a proportion p.

(c) Give a brief outline describing how the sample size for a predetermined error tolerance and level of confidence is determined from the normal distribution.