A random sample of 20 people from the given population had cholesterol values?: 5.13, 4.79, 4.70, 4.63, 4.71, 5.72, 5.09, 6.98, 4.44, 5.94, 5.31, 4.22, 5.19, 3.55, 5.21, 5.91, 5.36, 3.02, 6.02, 7.42
For such data, the average: 5.167 as well as empirical standard deviation: 1.03.
a) Construct a histogram of the data. Comment distribution shape.
b) We are interested in average cholesterol values in the whole population from which the sample is taken from.
This is represented through the expectation.
Create a 95% confidence interval when you use the normal assumption and assume that = 1:0 is known.
c) Make the 95% confidence interval when you use the normal assumption is unknown.
Comment difference between intervals in b) and c)