Question

Population Mean: Population mean of hours playing games is less than 2.5. results: 3,4,.5,2,2,2.5,5,1,3,6. 11 subjects tested. Test the hypothesis at 0.5 SL

Answer 1

Solution:

x	x2
3	9
4	16
0.5	0.25
2	4
2	4
2.5	6.25
5	25
1	1
3	9
6.11	37.3321
---	---
∑x=29.11	∑x2=111.8321

Mean ˉx=∑xn

=3+4+0.5+2+2+2.5+5+1+3+6.1110

=29.1110

=2.911


Sample Standard deviation S=√∑x2-(∑x)2nn-1

=√111.8321-(29.11)2109

=√111.8321-84.73929

=√27.09299

=√3.0103

=1.735

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 2.5

Ha : < 2.5

Test statistic = t

= ( - ) / S / n

= (2.91-2.5) / 1.73 / 10

= 0.749

Test statistic = t = 0.749

P-value =0.7636

= 0.05  

P-value >

0.7636 > 0.05

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that