Framingham cholesterol. The Framingham Heart Study recorded the cholesterol levels of more than 1400 participants in Framingham, MA (Data in Framingham).

To find a bootstrap confidence interval for the mean cholesterol, a student took 1000 bootstrap samples, calculated the mean of each, and found the following histogram of the bootstrap means:

Summary statistics of the means show:

0.5% 1% 2% 2.5% 5% 95% 97.5% 98% 99% 99.5%
231.890 232.130 232.370 232.434 232.769 236.763 237.130 237.281 237.526 237.873

a) Use the data above to construct a 95% confidence interval for the mean cholesterol.

b) Interpret the interval you constructed in part a.

c) What assumptions did you make, if any, in interpreting the interval?

Transcribed Image Text:

# of Samples 150 T 100 T 50 50 0 232 234 236 238 238 Mean Cholesterol