Question

A random sample of 25 elementary school children was tested on the Standford-Binet, yielding a mean age of 6.25 years with a standard deviation of 0.88. Test the hypothesis that this sample could represent a population whose mean is 6.00 years (set α=.05 level)

Answer 1

Solution :

= 6

=6.25

S =0.88

n = 25

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 6

Ha :     6

Test statistic = t

= ( - ) / S / n

= (6.25- 6 ) /0.88 / 25

= 1.420

Test statistic = t = 1.420

P-value = 0.1685

= 0.05  

P-value >

0.1685 > 0.05

Do not reject the null hypothesis .

There is insufficient evidence to suggest that