In: Statistics and Probability
Suppose a pilot study is conducted using data from 10 heavy ice-cream eating students who just bought four-scoop banana splits! There is a concern that eating too much ice cream could raise cholesterol levels into the “borderline high” range of more than 200 mg / 100 dl3. The study measures blood cholesterol levels on the 10 ice cream eaters with the following measurements: 189, 143, 258, 238, 229, 161, 278, 252, 220, 179 (a) Discuss assumptions and conditions for a 95% confidence interval. (b) Find the 95% confidence interval. (c) Interpret this interval in context. (d) Find the margin of error. (e) Can we say with 95% confidence that cholesterol levels of heavy ice cream users average more than 200 mg / dL?