Question

Does music genre have an effect on cognitive tasks? A researcher splits a group of 30 randomly selected people and randomly assigns them to music A or music B and then has them perform 40 mental tasks while listening to their assigned music type. After they are finished their scores were averaged and compared for any differences. Run the proper t test.

      Music A                            Music B
                                                                                            

26         21          22                                                                                                           18    23      21

26          19         22                                                                                                            20   20      29

26          25         24                                                                                                             20    16      20

21          23         23                                                                                                             26     21     25

18          29         22                 
                                                    17   18     19

                                                                                                                  

Answer 1

data

A	B
26	18
26	20
26	20
21	26
18	17
21	23
19	20
25	16
23	21
29	18
22	21
22	19
24	20
23	25
22	19

Using Excel

we run Regression for t-test for independent t-test

t-Test: Two-Sample Assuming Equal Variances
	A	B
Mean	23.13333333	20.2
Variance	8.552380952	7.6
Observations	15	15
Pooled Variance	8.076190476
Hypothesized Mean Difference	0
df	28
t Stat	2.826758928
P(T<=t) one-tail	0.004291263
t Critical one-tail	1.701130934
P(T<=t) two-tail	0.008582525
t Critical two-tail	2.048407142

p-value = 0.0085 < alpha

we reject the null hypothesis

we conclude that there is significant difference between A and B