A sample of size n 5 from a large population that is though

A sample of size n = 5 from a large population that is thought to be normal gave the following data:

7.5, 9.3, 6.2, 8.4, 9.8

(a) Create a 90% CI for the population mean µ.

(b) If a 95% CI were to be constructed using the same data, would it be larger or smaller than the one created in (a)? Explain your answer theoretically, and not by actually creating the interval.

Solution