The yearly tuition costs in dollars for random samples of medical schools that s
ID: 3226826 • Letter: T
Question
The yearly tuition costs in dollars for random samples of medical schools that specialize in research and in primary care are listed. At =0.05, can it be concluded that a difference between the variances of the two groups exists?
Research
Primary care
30890
32285
21943
22068
26044
31897
34194
21275
27590
37208
22817
31691
27618
39500
22310
31783
36065
25008
26234
32297
Research
Primary care
30890
32285
21943
22068
26044
31897
34194
21275
27590
37208
22817
31691
27618
39500
22310
31783
36065
25008
26234
32297
Explanation / Answer
Statistics
Variable N StDev Variance
Research 10 5902.701 3.48419E+07
Primary care 10 5351.638 2.86400E+07
Null hypothesis Sigma(Research) / Sigma(Primary care) = 1
Alternative hypothesis Sigma(Research) / Sigma(Primary care) not = 1
Test statistic
F = s21/s22
Method DF1 DF2 Statistic P-Value
F Test (normal) 9 9 1.22 0.775
The estimated p-value is 0.775 and larger than 0.05 level of significance. Hence, we can not reject the null hypothesis and conclude that there is no significance difference of variance between the Research and Primary Care at 0.05 level of significance.
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