A researcher is interested in whether social assertiveness might be influenced b

Question

A researcher is interested in whether social assertiveness might be influenced by training procedures. Two groups of college sophomores are randomly selected. Group A is assigned to the "training sessions", whereas the subjects in Group B are allowed to get on with their lives in any way they choose. Both groups are then given the "Social Assertiveness" test, (high scores indicating greater assertiveness), and the results were as follows:

Group A: 14, 11, 10, 10, 8, 6, 8, 9, 10, 11

Group B: 12, 10, 10, 8, 7, 3, 8, 6, 5, 4

Calculate/report the SED for both groups combined

Calculate/report the independent t ratio

Is this a one-tail or two-tail hypothesis?

Report the Table Critical Value.

Do you reject or accept the null hypothesis at alpha .05?

The effect size is Strong, Medium, Weak or Not significant?

Calculate and report results from the Levene Test for Homogeneity of Variances.

Are the two groups homoscedastic?

Based on your answer to item m above, what does that mean with regard to the two samples in problem # 5?

Explanation / Answer

Group A: 14, 11, 10, 10, 8, 6, 8, 9, 10, 11

Mean = 9.7 and Standard Deviation = 2.1628

Group B: 12, 10, 10, 8, 7, 3, 8, 6, 5, 4

Mean = 7.3 and Standard Deviation = 2.8693

Calculate/report the SED for both groups combined

SEDCombined = sqrt[ ( n1 -1)s12 + ( n2 -1)s22]/(n1 +  n2 -2) = sqrt [ (9 * 4.68 + 9 * 8.23)/18] = 2.5406

Calculate/report the independent t ratio = (Mean 1 - Mean 2) / (SEDCombined/sqrt(n)) = (9.7 - 7.3) / (2.5406 *sqrt(1/n1 + 1/n2) = 2.4 / (2.5406 *sqrt(2/9) ) = 2.004

Is this a one-tail or two-tail hypothesis: It is a two tail hypotheis

Null Hypotheis : H0 : Mean 1 = mean 2 that means there is no effect of training sessions on social assertiveness

ALternative Hypothesis : Ha : Mean 1 Mean 2 that means there is effects of training session on " social assertivenes.

Table critical T - value will be calculated with help of degree of freedom dF

dF = n1 +n2  - 2

so for dF = 18 , and alpha = 0.05 ,

tcritical = 2.101

so t < tcritical so we can not reject null hypothesis and say there is no significant impact of " training sessions" .

Effect Size = 2

Here it is two standerd deviation difference that shows the effect size is strong.

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