Question

# In testing the difference between two population means when population standard deviations are unknown, there are...

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

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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