Jinn et al. (1995) collected midi-chlorian counts from 16 children from Tatooine
ID: 3219817 • Letter: J
Question
Jinn et al. (1995) collected midi-chlorian counts from 16 children from Tatooine, and 9 children from Naboo. The results are listed below: Tatooine: x_1 = 982.520, s_1^2 = 225, Naboo: x_2 = 969.673, s_2^2 = 196. (a) Test the null hypothesis that the means of the midi-chlorian counts for children from Tatooine, and Naboo are the same, for the level of significance alpha = 0.05 Assume that the population variances are the same. (b) Test the null hypothesis that the means of the midi-chlorian counts for children from Tatooine, and Naboo are the same. for the level of significance alpha = 0.05 Assume that the population variances are not the same.Explanation / Answer
Solution:
The above example calculated by minitab
A ) For equal variances
MTB > TwoT 16 982.52 15 9 969.673 14;
SUBC> Confidence 95.0;
SUBC> Test 0.0;
SUBC> Alternative 0;
SUBC> Pooled.
Two-Sample T-Test and CI
Sample N Mean StDev SE Mean
1 16 982.5 15.0 3.8
2 9 969.7 14.0 4.7
Difference = (1) - (2)
Estimate for difference: 12.85
95% CI for difference: (0.21, 25.48)
T-Test of difference = 0 (vs ): T-Value = 2.10 P-Value = 0.047 DF = 23
Both use Pooled StDev = 14.6599
The p-value is0.047 which is less than 0.05. From the p-value the above hypothesis fail to accept.
B ) For unequal variances
MTB > TwoT 16 982.52 15 9 969.673 14;
SUBC> Confidence 95.0;
SUBC> Test 0.0;
SUBC> Alternative 0.
Two-Sample T-Test and CI
Sample N Mean StDev SE Mean
1 16 982.5 15.0 3.8
2 9 969.7 14.0 4.7
Difference = (1) - (2)
Estimate for difference: 12.85
95% CI for difference: (0.22, 25.48)
T-Test of difference = 0 (vs ): T-Value = 2.15 P-Value = 0.047 DF = 17
The p-value is0.047 which is less than 0.05. From the p-value the above hypothesis fail to accept.
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