Question

Functional foods are those containing nutritional supplements in addition to natural nutrients. For example, orange juice with calcium. A researcher asked students to rate their general attitude towards functional foods on a 7-point scale (higher score is more positive). The results are as follow:

Females	Males
n = 8	n = 12
M = 4.69	M = 4.43
SS = 1.60	SS = 1.72

Do the data indicate a significant difference in attitude for males and females? Use a two-tailed test with α = .05

1. State the null and alternative hypotheses in words and statistical symbols

2. The critical t values are

3. The t-statistic is:

4.Your decision is

5. Compute r²

6. Report the results in APA

Answer 1

1. State the null and alternative hypotheses in words and statistical symbols

The hypothesis being tested is:

H₀: µ₁ = µ₂

H₁: µ₁ ≠ µ₂

2. The critical t values are -2.10 and 2.10.

3. The t-statistic is:

0.440

4.Your decision is

Since 0.440 < 2.10, we cannot reject the null hypothesis.

5. Compute r²

r² = t²/t² + df = 0.440²/0.440² + 18

r² = 0.011

1	2
4.69	4.43	mean
1.264911064	1.311487705	std. dev.
8	12	n
	18	df
	0.26000	difference (1 - 2)
	1.67333	pooled variance
	1.29357	pooled std. dev.
	0.59043	standard error of difference
	0	hypothesized difference
	0.440	t
	.6649	p-value (two-tailed)