Question

The following descriptive statistics are calculated from SPSS. Use them to calculate the test statistic.

Group Statistics	Gender	N	Mean	Std. Deviation	Std. Error Mean
Memory	Male	14	8.2857	3.81149	1.01866
Memory	Female	14	4.7857	1.31140	.35049

1. What is the calculated test statistic?

A. 1.228

B. 3.017

C. 3.249

D. 5.786

2.

What is the correct conclusion?

A. Males are not significantly better than females at memory recall (p<.05)

B. Males are significantly better than females at memory recall (p<.05)

C. Males are not significantly better than females at memory recall (p>.05)

D. Males are significantly better than females at memory recall (p>.05)

Answer 1

Two-Sample T-Test and CI

Method

μ₁: mean of males

µ₂: mean of Females

Difference: μ₁ - µ₂

Equal variances are not assumed for this analysis.

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
Males	14	8.29	3.81	1.0
females	14	4.79	1.31	0.35

Test

Null hypothesis	H₀: μ₁ - µ₂ = 0
Alternative hypothesis	H₁: μ₁ - µ₂ > 0

test statistic = t =

by substituting the values we get t = 3.249

degrees of freedom =

by substituting the values we get df = 14

p-value = 0.003

conclusion

since p-value is less than 0.05 we reject null hypothesis and conclude that Males are significantly better than females at memory recall (p<.05) .