3. Measurements on the percentage of enrichment of 12 fuel rods used in a nuclear reactor were reported as follows;

Question

3.11 2.88 3.08 3.01 2.84 2.86 3.04 3.09 3.08 2.89 3.12 2.98

a. Test the Hypothesis H0: µ = 2.95 versus H1: µ 0 ≠ 2.95, and draw appropriate conclusions. Use the P-value approach.
b. Find a 99% two-sided CI on the mean percentage of enrichment. Are you confortable with the statement that the mean percentage of enrichment is 2.95%? Why?
c. What would you use to check the normality assumption of the data?

Answer 1

Here is a hint for part a):

Try a one-sample t-test. You will need to calculate mean and standard deviation to plug into the formula. Calculate, then determine the p-value from a t-table. The p-value is the actual level of the test statistic you calculate.

I'll let you take it from here.