You and your friend decide throw a scrabble pizza party. You don't know how many pizzas to order, so you want to obtain an estimate of slices each person would eat. You perform a poll of ten randomly selected patrons to see how many slices they each ate. Their responses are Their responses are denoted Xi, i=1,...,10, and

X=1/10 10i=1Xi=4.3

s2=1910i=1(XiX)2=2.7

Question 1:

Assuming that the Xs are i.i.d. normal, construct a 95 confidence interval for the mean of the Xs. Enter the lower and upper bounds on the interval [a,b].

1.1: Lower bound a:???

1.2: Upper bound b???

Q2: How many patrons would you have had to poll to limit the width of the confidence interval to one slice?

Q3: Suppose your friend gives you the additional information that the s have a uniform distribution on[0,]instead. Unfortunately, he has already thrown away the original data and kept the sample mean and the sample variance he computed. You can still construct a95%confidence interval for the mean of the s.

True or False?