Question

We are interested in if males and females perceive attractiveness differently. They are shown the same faces and rate each face on an attractiveness scale from 1-10. Treat Males as group 1 and females as group 2. The mean scores of these two groups are below.

Males	Females
8	4
5	5
6	7
7	7
8	8
10	7
6	5
10	8
9	6
10	7

Restate your null and research hypotheses

		H0: x ̅males = x ̅females H1: x ̅males ≠ x
		H0: x ̅males ≠  x ̅females H1: x ̅males = x
		H0: x ̅males < x ̅females H1: x ̅males > x
		H0: x ̅males ≠  x ̅females H1: x ̅males > x

What is the pooled variance?

		2.31
		2.63
		1.84
		-2.63

What is the estimated standard error of the difference?

		0.73
		0.95
		2.63
		1.75

What is your test statistic?

		2.31
		1.69
		2.05
		-2.05

Do you reject or fail to reject your null hypothesis?

		Fail to reject, the test statistic does fall within the rejection region
		Fail to reject, the test statistic does not fall within the rejection region
		Reject the null, the test statistic falls within the rejection region
		Reject the null, the test statistic does not fall within the rejection region

Answer 1

The excel output for this problem is:

Hence,

Hypotheses:

H_{0: x ̅males = x ̅females}

H_{1: x ̅males ≠ x}

Option A is correct.

Standard error = 2.63

Option C is correct.

Test statistic = 2.05

Option C is correct.

Fail to reject, the test statistic does not fall within the rejection region. Option B is correct.