Question

: Identify IV, DV, and hypotheses and evaluate the null hypothesis for an independent samples t test.

Data: Use the information from Problem Set 3.7.

Instructions: Complete the following:

Minutes of practice:

Group 1: 34, 25, 4, 64, 14, 49, 54

Group 2: 24, 78, 59, 68, 84, 79, 57

a.   Identify the IV and DV in the study.

b.   State the null hypothesis and the directional (one-tailed) alternative hypothesis.

c.   Can you reject the null hypothesis at α = .05? Explain why or why not.

Answer 1

a.   Identify the IV and DV in the study.

IV = Minutes of practice

b.   State the null hypothesis and the directional (one-tailed) alternative hypothesis.

The hypothesis being tested is:

H₀: µ₁ = µ₂

H₁: µ₁ < µ₂

c.   Can you reject the null hypothesis at α = .05? Explain why or why not.

Group 1	Group 2
34.86	64.14	mean
21.99	20.46	std. dev.
7	7	n
	12	df
	-29.286	difference (Group 1 - Group 2)
	450.976	pooled variance
	21.236	pooled std. dev.
	11.351	standard error of difference
	0	hypothesized difference
	-2.580	t
	.0120	p-value (one-tailed, lower)

The p-value is 0.0120.

Since the p-value (0.0120) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that µ₁ < µ₂.