Question: For this assignment you will submit it on Blackboard before class time on the day announced in class. It is in your best interest to go through the entire 5 step hypothesis test for each problem in addition to calculating all possible and appropriate statistics for these questions. Any step of the hypothesis test or any value of statistics is fair game for the Assignment online.



1. A researcher is interested in determining if it is possible to increase the average amount of eye contact (measured in seconds) for a group of children who are on the extreme end of the Autism Spectrum. Examine the results below and determine if the researcher can significantly alter the average number of seconds of eye contact. If the results are significant, please indicate how strong the effect of the intervention used in this study. (15 points)



Childs Name
Pre-Intervention
Post-Intervention

Jason
13
11

Robert
19
18

Chris
14
20

Nick
8
19

Juan
9
14

Carl
10
12

Matthew
16
17

Wyatt
14
16

Question 1
This question is in regards to question number 1 from the Assignment.
Which of the following does not belong as one of the steps you should include in your five step hypothesis testing procedure for this question?  Edit

Answer: 1.
Ans:
x bar_1=12.875, sd_1=3.72
x bar_2=15.875, sd_2=3.27
Standard error= sqrt({(s_1)^2/n_1}+{ (s_2)^2}/n_2})
=sqrt(3.72^2/8 + 3.27^2/8)=1.75

Test statistic, z= [(xbar_1 -xbar_2)/standard error]
=(12.875-15.875)/1.75=-1.71


|zcalculated |< |zcritical| (because 1.71<2.365)

Fail to reject null.


So, there is no significance difference in means.
  Edit