Please answer each part of the question if possible The stud

Please answer each part of the question if possible.

The student in Question 5 from Module 18 decides to conduct the same study using a within-subjects design in order to control for differences in cognitive ability. He selects a random sample of participants and has them study different material of equal difficulty in both the music and no music conditions. The data appear below. As before, they are measured on an interval-ratio scale and are normally distributed.

Before                    After

44                            46

40                            41

39                            41

46                            47

42                            43

43                            45

a. What statistical test should be used to analyze these data?

b. Identify H0 and Ha for this study.

c. Conduct the appropriate analysis.

d. Should H0 be rejected? What should the researcher conclude?

e. If significant, compute the effect size and interpret.

f. If significant, draw a graph representing the data.

Solution

answer of part a)

paired t-test we should use

answer of part b)

Ho:there is no diffierence between the music and no music conditions

Ha: there is diffierence between the music and no music conditions

answer of part c)

we calculate difference between before and after and calculate there average like this

and caculate t-statistic t=d^-/(S/n^1/2) will follow n-1 degree of freedom

d-=-9/6=-1.5 and S²=2.5 and t=-1.5/1.58=0.95

answer of part d)

No, Ho should be accepted and reseacher should conclude that there is no diffierence between the music and no music conditions.

answer of part e)

not significant

answer of part f)

difficult to draw a graph