Question

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

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)

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) .

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