Question

Last year the average age of students attending Fisher College was 20.6 years. In order to meet the demands of older students, steps were taken that included adding evening and weekend classes. A sample of 70 students enrolled this semester was studied. The average age of these students was = 21.5 with sample standard deviation s = 3.1 Find the associated t value and P value of the sample statistic Does this confirm the alternate hypothesis H1: > 20.6 that the average age of students this semester is higher than it was last year using the 1% significance level? That is, do we reject the null hypothesis H0: = 20.6?

Answer 1

Solution :

= 20.6

=21.5

S =3.1

n = 70

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 20.6

Ha : > 20.6

Test statistic = t

= ( - ) / S / n

= (21.5 - 20.6) / 3.1 / 70

= 2.429

Test statistic = t =2.429  

P-value =0.0089

= 0.01  

P-value <

0.0089 < 0.01

Reject the null hypothesis .

There is sufficient evidence to suggest that