Question

Group Statistics
	Group	N	Mean	Std. Deviation	Std. Error Mean
Scores	male	50	49.7200	10.40220	1.47109
	female	50	31.5800	11.59009	1.63909

Independent Samples Test
		Levene's Test for Equality of Variances			t-test for Equality of Means
		F	Sig.	t		df	Sig. (2-tailed)	Mean Difference	Std. Error Difference	95% Confidence Interval of the Difference
										Lower	Upper
Scores	Equal variances assumed	.519	.473	8.236		98	.000	18.14000	2.20243	13.76934	22.51066
	Equal variances not assumed			8.236		96.876	.000	18.14000	2.20243	13.76871	22.51129

Imagine that we gave 100 individuals 50 women and 50 men this short experiment and collected the differences between times in the incongruent & congruent condition. You want to know if men and women differed on this time between conditions.

State your null and alternative hypotheses

Is this a one or two-tailed hypotheses? Explain.

Calculate the appropriate statistical test.

Can you reject the null hypothesis? Why or why not

Apa Write up

Answer 1

Let the differences between times in the incongruent & congruent condition for men be and the differences between times in the incongruent & congruent condition for women be

Here we are to test

This is thus a two-tailed test as the alternative hypotheses is two-tailed

The given data is summarized as follows:

	Male	Female
Sample size	n1=50	n2=50
Sample mean	=49.72	=31.58
Sample SD	s1=10.40220	s2=11.59009

The test statistic is given by

The test statistic follows t distribution with df 98

The p-value is obtained as 7.92338E-13

As the p-value is less than 0.05, we reject the null hypothesis at 5% level of significance and hence conclude that the differences between times in the incongruent & congruent condition is statistically different between men and women at 5% level of significance.

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