In: Statistics and Probability
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.
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