The question was: The F statistic for this test is:
Your Answer: 1.69
Answer and explanation: Your answer is incorrect. The correct answer is 2.86.
To determine the F statistic you need to know the variance of each of the groups. The variance of a
group can be found by squaring the standard deviaton. The standard deviation for the treatment group
is 3.14, so the variance is 9.87. The standard deviation of the control group is 1.86, so the variance
is 3.45. To find the F statistic you divide the larger variance by the smaller. This gives an F of 2.86.
If you simply divide the larger standard deviation by the smaller without squaring them the result is 1.69.
Statistic
|
Treatment
|
Control
|
---|---|---|
N
|
29
|
21
|
Mean
|
4.3793
|
8.4286
|
Median
|
4.0000
|
9.0000
|
Trimean
|
4.0000
|
9.0000
|
Minimum
|
0.0000
|
4.0000
|
Maximum
|
10.0000
|
10.0000
|
25th Percentile
|
2.0000
|
8.0000
|
75th Percentile
|
6.0000
|
10.0000
|
Standard Deviation
|
3.1443
|
1.8593
|
Standard error of mean
|
0.5893
|
0.4057
|
Skew
|
0.5037
|
-0.9610
|
Kurtosis
|
-0.7375
|
-0.2728
|