The following Excel
output represents an attempt to determine if the two sets of data
(Variable 1 and Variable 2) have equal variances. Based on the
information shown would you accept the hypothesis of equal
variances? You must show how you came to your conclusion
Variable 1 |
Variable 2 |
|
Mean |
2.21 |
2.01 |
Variance |
2.95 |
3.58 |
Observations |
20 |
20 |
df |
19 |
19 |
F |
0.82 |
|
P(F<=f) one-tail |
0.04 |
|
F Critical one-tail |
0.46 |
Also P(F<=f) one-tail =0.04 <0.05 Significance level. We cannot reject the null hypothesis of equal variance.
Based on the information shown would you accept the hypothesis of equal variances?
Yes.
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