In a US senatorial election, 9 voters were randomly chosen from those who voted for a candidate from a conservative party, and 9 were chosen from those who voted for a liberal candidate. Their ages are given below.
Conservative: 51, 76, 62, 55, 39, 43, 46, 49, 56
Liberal: 44, 62, 60, 51, 35, 41, 39, 39, 36
a) Test for equal variances between the two groups using alpha = 0.05.
b) Confirm your answer using software, either R or Excel. Give the result
_________________________
(b)
F-Test Two-Sample for Variances | ||
Variable 1 | Variable 2 | |
Mean | 53 | 45.22222 |
Variance | 123.5 | 102.4444 |
Observations | 9 | 9 |
df | 8 | 8 |
F | 1.205531 | |
P(F<=f) one-tail | 0.398955 | |
F Critical one-tail | 3.438101 |
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