Question

op to the NAME: ID# Short Answer 2 You assign forty participants randomly and independently to either watch the entire first two seasons of The Office, or the entire first two seasons of How I Met Your Mother. You assess the level of enjoyment (on a scale from 1 to 20) of the participants. You find that the pooled standard deviation is 9, and that Cohen's d is 0.3. Using the 5 steps of hypothesis testing and a Type 1 error rate of 10%, is there a preference of one show over the other?

Answer 1

Null hypothesis :Two shows are equally preffered

Among the forty person Assume that 20 persons watched first two seasons of the office and 20 watched first two seasons of How i met my mother. n_1=n_2=20

pooled standard deviation is 9

There fore the standard error , $S.E=S.D_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}=9\sqrt{\frac{1}{20}+\frac{1}{20}}=2.846$

Test statistic =Cohen's d/S.E=0.3/2.846=0105

The p value corresponds to this test statistic for 40-2=38 degress of freedom is 0.9169>0.10(Significance level or type I error rate) . There is no evidence to believe that one show is preffered to other. Hence we fail to reject the null hypothesis at 10% type i error rate.