Say that on average teenagers eat 10 slices of pizza each week, with a 95% confidence interval of (8-12). We take a sample of teenagers and find that this group eats an average of 6 slices each week. What can we say about the teenagers in the sample in relation to the confidence interval? Why are sample and population confidence intervals calculated differently? Describe the difference in the shape and nature of the t and z distributions. In what ways are they the same? Do they change in shape? If so, what causes the change? If not, why not