The following data represent the total fat, in grams per serving, for a sample of 20 chicken sandwiches from fast-food chains. This data is also contained in a file posted on BLACKBOARD and named CHICKEN.

7 8 4 5 16 20 20 24 19 30

23 30 25 19 29 29 30 30 40 56

a) Construct a 90% confidence interval for the mean total fat for the population of chicken sandwiches from fast food restaurants.

b) Statistical theory (the Central Limit Theorem) indicates that the interval created in part a) may not be reliable if the population shape is highly skewed. Using the data in the sample of 20 sandwiches, determine if you think this shape is highly skewed. (HINT: Methods for doing so were discussed in chapters 2 and 3. Ultimately, this is a subjective decision and so you just need to s