Question

The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal distribution. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test, and their scores are given below. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 a) Test the claim that the mean verbal reasoning score is different from 150 at the α = 0.10 level of significance.

Answer 1

	Values ( X )
	152	59.29
	126	334.89
	146	2.89
	149	22.09
	152	59.29
	164	388.09
	139	28.09
	134	106.09
	145	0.49
	136	68.89
Total	1443	1070.1

Mean

Standard deviation

To Test -

H0 :-  

H1 :-  

Test Statistic :-


t = -1.653

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

Decision based on P value
P - value = P ( t > 1.653 ) = 0.1327
Reject null hypothesis if P value < level of significance
P - value = 0.1327 > 0.1 ,hence we fail to reject null hypothesis
Conclusion :- Fail to reject null hypothesis

There is insufficient evidence to support the claim that the mean verbal reasoning score is different from 150 at α = 0.10 level of significance.