Ten students were given a mathematics aptitude exam in a qui

Ten students were given a mathematics aptitude exam in a quiet room. The same students were given a similar exam in a room with background music. Their performances were as follows. Using the sign test, test the hypothesis that the music has no effect on the exam performance.

Solution

The null hypothesis would be:

Ho : Mean 1 = Mean 2

Ha : The mean scores are different

Thus,

t-calculated > t -critical

Hence, we reject the null hypothesis.

Thus, there is a difference in the scores of students with and without music.

Hope this helps.

Student	No Music	Music		t-Test: Paired Two Sample for Means
1	114	112
2	121	122			No Music	Music
3	146	141		Mean	123.9	120.9
4	109	107		Variance	254.322	239.656
5	99	96		Observations	10	10
6	114	109		Pearson Correlation	0.991889905
7	127	121		Hypothesized Mean Difference	0
8	150	146		df	9
9	129	127		t Stat	4.61690
10	130	128		P(T<=t) one-tail	0.00063
				t Critical one-tail	1.83311
				P(T<=t) two-tail	0.00126
				t Critical two-tail	2.26216