Question

Is it true that the mean age of students at North Campus is 25 year old? In a survey of 70 students at North Campus, the sample mean age was found to be 24.96, with a standard deviation s = 8.04. Using a .03 significance level, test the claim that mean age of students at North Campus is equal to 25. Show all steps in the hypothesis testing procedure. Clearly enumerate the null and alternative hypotheses. Show calculation of test statistic and p-vale. State the final conclusion.

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :   = 25

H_a :    25

Test statistic = z

= ( - ) / / n

= (24.96 - 25) / 8.04 / 70

= -0.04

n = 70

df = 70 - 1 = 69

P-value = 0.9682

= 0.03

P-value >

Fail to reject the null hypothesis .

There is bot sufficient evidence to that mean age of students at North Campus is equal to 25 .