Question

According to Beautiful Bride magazine, the average age of a groom is now 26.2 years. A sample of 16 prospective grooms in Chicago revealed that their average age was 26.6 years with a standard deviation of 5.3 years. At a=0.05, what is the test value?

Answer 1

0.3019

Explanation:

Null hypothesis: the average age of a groom is now 26.2 years.

Alternative hypothesis: the average age of a groom is not 26.2 years.

We have a sample of 16 so we will use a t-test

Where t score = (x-u)/(sd/√n)

Where x = 26.6, u=26.2, sd= 5.3 and n=16

t score = (26.6-26.2) / (5.3/√16)

t = 0.4/(5.3/4)

t = 0.4/1.325

t = 0.3019