In testing the difference between two population means when population standard deviations are
unknown, there are many cases depending upon whether the two population standard deviations
are equal or not. Therefore, before testing the difference between two population means, the
equality of two population variances must be tested first. Let the sample data from population #1
be? =10,?̅ =97.4,? =8.8769andfrompopulation#2be? =7,?̅ =110,? =30.2214. 111 222
Answer the following five questions assuming the level of significance=0.1.
23. In testing the hypothesis ? = ? against ? ≠ ? , the two critical values are 12 12 A) 0.16 & 4.53 B) 0.297 & 4.10 C) 0.21 & 3.97 D) 0.17 & 7.98
24.Continuing 23, the computed statistic is
A) 7.5930 B) 3.4045 C) 0.2937 D) 0.0863
using excel>Addin>phstat>two sample test
we have
F Test for Differences in Two Variances | |
Data | |
Level of Significance | 0.1 |
Larger-Variance Sample | |
Sample Size | 10 |
Sample Standard Deviation | 8.8769 |
Smaller-Variance Sample | |
Sample Size | 7 |
Sample Standard Deviation | 30.2214 |
Intermediate Calculations | |
F Test Statistic | 0.086277 |
Population 1 Sample Degrees of Freedom | 9 |
Population 2 Sample Degrees of Freedom | 6 |
lower critical value | 0.297 |
Upper Critical Value | 4.1 |
23. In testing the hypothesis ? = ? against ? ≠ ? , the two critical values are
B) 0.297 & 4.10
24.Continuing 23, the computed statistic is
D) 0.0863
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