Question

In: Statistics and Probability

Group Statistics gender N Mean Std. Deviation Std. Error Mean salary male 47 32442.23 3117.026 454.665...

Group Statistics

gender

N

Mean

Std. Deviation

Std. Error Mean

salary

male

47

32442.23

3117.026

454.665

female

47

33920.57

3824.284

557.829

Independent Samples Test

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

salary

Equal variances assumed

.964

.329

-2.054

92

.043

-1478.340

719.648

-2907.624

-49.057

Equal variances not assumed

-2.054

88.404

.043

-1478.340

719.648

-2908.399

-48.282

Here we have two groups of participants (e.g., male vs female) and the outcome variable is salary. The question here is whether the data suggest that these two groups differ in terms of the amount of salary? Consider the SPSS output here and provide a brief write-up of your interpretation of these data in the space below.

Solutions

Expert Solution

we have given the SPSS output

Group Statistics

gender

N

Mean

Std. Deviation

Std. Error Mean

salary

male

47

32442.23

3117.026

454.665

female

47

33920.57

3824.284

557.829

Independent Samples Test

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

salary

Equal variances assumed

.964

.329

-2.054

92

.043

-1478.340

719.648

-2907.624

-49.057

Equal variances not assumed

-2.054

88.404

.043

-1478.340

719.648

-2908.399

-48.282

let us consider the null and alternative hypothesis is

Ho:u(group 1) = u(group 2)

Ha:u(group 1) u(group 2)

the value of test stat t = -2.054 and p value is 0.043 since p value is less than 0.05 so we rejct Ho and conclude that these two groups differ in terms of the amount of salary


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