Question

To determine the effectiveness of learning a cartwheel by watching a video, a gymnastics teacher randomly divided 15 novice gymnasts into 3 groups of 5 students each. One group (control) viewed a live demonstration of a cartwheel one time and then was tested. A second group (video) watched a video of a cartwheel 10 times, and then was tested. The third group (live) watched 10 live demonstrations of a cartwheel and then was tested. All 15 subjects were ranked on their ability to perform the cartwheel with the following results (1 is the highest rank, 15 is the lowest rank).

Control	Video	Live
8	2	1
12	5	3
13	7	4
14	9	6
15	11	10

1. Test to see if there are significant differences in the group’s ability to perform the cartwheel.

2. If significant results are found, perform all 3 post-hoc tests and write up the conclusion for each. Which group performed the best?

Answer 1

NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha: At least one mean is different.

alpha=0.05

By using MS Excel we have  

From the above table we can see that p value =0.00784

Since P value less than 0.05 level of significance therefore SIGNIFICANT.

Decision: REJECT NULL HYPOTHESIS H0.

Conclusion: We have sufficient evidence to show that there is difference in mean scores 3 groups.

b)

1= CONTROL

2= VIDEO

3= LIVE

FROM ABOVE ANALYSIS WE CAN SEE THAT THERE IS SIGNIFICANT DIFFERENCE OF MEANS IN (CONTROL vs Video) and (Control vs Live) while there is No significant difference of means between (VIDEO AND LIVE).