Please also include the four steps, effect size and explained variance. likeable

Question

Please also include the four steps, effect size and explained variance.

likeable). The ratings are the data below. Test to see if the humorous comedian was liked more or less than the nonhumorous comedian, using alpha =05 and four steps Also calculate and interpret effect size and explained variance if appropriate Ratings for humorous comedian Ratings for nonhumorous comedian 6 A researcher records the number of words recalled by students presented with a list of words for one minute. In one group, students were presented with the list of words in color and for the other group, the words were presented in black and white. Test to see if there are differences in the number of words recalled, using alpha 05 and four steps Also calculate and interpret effect size and explained variance if appropriate. 2. Words recalled for B/W condition 5 3 Word recalled in color condition 12 8 3. A psychologist wants to know if husbands or wives are happier with their marriages so using a matched-pairs design, she got six married couples and asked each partner to rate how satisfied they are with their spouse on a 7-point scale ranging from 1 (not satisfied at all) to 7 (very satisfied). Data are below. Test to see if there are differences, using alpha =05 and four steps. Also calculate and interpret effect size and explained variance if appropriate. Wife Husband 5 6

Explanation / Answer

(1)here we use t-test with

null hypothesis H0:mean1=mean2 and

alternate hypothesis H1:mean1mean2 (two tailed test)

t=(mean1-mean2)/((sp*(1/n1 +1/n2)1/2) and sp2=((n1-1)s12+(n2-1)s22)/n and with df is n=n1+n2-2

two-tailed p-value=0.017 is less than alpha=0.05 , so we fail to accept H0 and conclude that houmours is more liked than non-humous

effect size=Cohen's d = |(Mean2 - Mean1)| SDpooled=3/1.58=1.9

(2)

here we use t-test with

null hypothesis H0:mean1=mean2 and

alternate hypothesis H1:mean1mean2 (two tailed test)

t=(mean1-mean2)/((sp*(1/n1 +1/n2)1/2) and sp2=((n1-1)s12+(n2-1)s22)/n and with df is n=n1+n2-2

since p-value is less than alpha=0.05, so we fail to accept H0 and conclude that there are difference

effect size= Cohen's d = |(Mean2 - Mean1)| SDpooled=6.25/2.07=3.02

(3)

) here we use t-test with

null hypothesis H0:d=0 and

alternate hypothesis H1:d0 and

t=d-/(sd/sqrt(n))=1/(1.55/sqrt(6))=1.58 with n-1=6-1=5 df

critical t(0.05,5)=2.57 is more than calculated t=1.58, . or P-value=0.17 is more than alpha=0.05 so we fail to reject H0 and conclude that there is difference between wife and husband.

effect size=d-/(sd)=1/1.55=0.65

sample mean s s2 n (n-1)s2 humorous(1) 6 1.58 2.4964 5 9.9856 nonhumorous(2) 3 1.58 2.4964 5 9.9856 difference= 3 4.9928 10 19.9712 sp2= 2.4964 sp= 1.58 t= 3.002162336 one tailed p-value= 0.008507758 two tailed p-value= 0.017015516 humours non-humours 8.000 2.000 6.000 3.000 7.000 4.000 4.000 5.000 5.000 1.000 n= 5.00 5.00 mean= 6.00 3.00 s= 1.58 1.58

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