Question

1. Researchers Busseri, Choma, and Sadava (2009) asked a sample of individuals who scored as optimists on a measure of life orientation about past, present, and projected future satisfaction with their lives. Higher scores on the life-satisfaction measure indicate higher satisfaction. Do optimists see a rosy future ahead?

Person	Past	Present	Future
1	22	25	24
2	23	26	27
3	25	27	26
4	24	28	28
5	26	29	29

Conduct all 6 steps of hypothesis testing (present results in a source table) as well as post hoc tests and a measure of effect size. If appropriate, conduct Tukey tests. Calculate the R2 . To get you started, I’ve included the following values in the source table

Source	SS	df	MS	F
Between Subjects Within Total	62.926	14

Answer 1

Given data

person	Past	Present	Future
1	22	25	24
2	23	26	27
3	25	27	26
4	24	28	28
5	26	29	29

mean of past group

mean of present group

mean of future group

Overall mean of the sampler

number of samples in the individual group group =

Total number of sample (m)=15

No of group (n)=3

Step 1

Means are not equal

SS between =

NOW WITHEN PROPERTY

Step 3 calculate test statistic

test stastistic

step 4     From the table of distribution of probablity we we have to calculate F critical now

so F criticle with respect to degree of freedon (2,12)

step 5 creating the table

SOURCE	SS	df	MS	F
Between	28.2	2	14.1	2.68	3.89
within	63	12	5.25

Step 6 conclusion :

Since we found that so we dont have enough evidence to reject the null hypothesis

Step 1

Means are not equal

Step 2

F Statistic we have calculated =2.685