Question

A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to use hypothesis testing to determine if the average age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal.
The value of the test statistic is

The p-value is between

a. .01 and .02

b. .02 and .025

c. .025 and .05

d. .05 to .10

e. None of these are correct

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :   = 24

H_a : > 24

Test statistic =t

= ( - ) / s / n

= (25 - 24) / 2 / 16

= 2

n = 16

df = 16 - 1 = 15

0.025 < P-value < 0.05

0.025 and 0.05

c)