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A developmental psychologist would like to know whether there is a difference in the sociability scores...

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Question

Basic Math

A developmental psychologist would like to know whetherthere is a difference in the sociability scores of childrenaccording to the number of siblings they have. He chose threerandom samples of n = 5 children each according to three groups andmeasured their level of sociability using a standardized test. Thescores are shown in the table below. Do the scores indicatesignificant differences among the three groups?

No Sibling**

x^2

SS1

One Sibling**

x^2

SS2

Two Siblings**

x^2

SS3

4

16

0.36

7

49

0.16

8

64

0.04

5

25

0.16

7

49

0.16

9

81

0.64

7

49

5.76

6

36

0.36

7

49

1.44

3

9

2.56

6

36

0.36

8

64

0.04

4

16

0.36

7

49

0.16

9

81

0.64

23

115

9.2

33

219

1.2

41

339

2.8

a. Using the 5 steps of hypothesis testing, test at ?.05. (15 pts)

b. Conduct two post hoc tests, Tukey’s HSD Test and theScheffe Test, both at ? .05, and compare your answers. (9pts)

Need help with the ten step by hand ANOVA ... specifically thesum of squres/between/within calculations in the hypothesistesting

and the steps associated with the post hoc tests

Thank you!!

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