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Statistics - ANOVA

1. In testing whether the means of two normal populations are equal, summary statistics computed for two independent samples are as follows: Assume that the population variances are equal. Then, the Pooled Variance is equal to:
A) 0.1017
B) 1.2713
C) 0.3189
D) 1.1250

2. Two samples of sizes 25 and 35 are independently drawn from two normal populations, where the unknown population variances are assumed to be equal. The number of degrees of freedom of the equal-variances t test statistic is:
A) 60
B) 59
C) 35
D) 58

3. A financial analyst is to estimate the difference in the average return-on-equity for two industry groups, bank and bank holding companies and nonblank financial companies. The sample data obtained: Construct a 98-percent confidence interval for the true difference in means for the return-on-equity between bank and bank holding companies and nonblank financial companies.

A) -2.43 to 6.75
B) 0 to 9.24
C) -4.25 to 5.15
D) -1.49 to 7.89

4. The number of degrees of freedom associated with the t test, when the data are gathered from a matched pairs experiment with 13 pairs, is:
A) 13
B) 26
C) 12
D) 24

5. When the necessary conditions are met, a two-tail test is being conducted to test the difference between two population proportions. If the value of the test statistic z is 2.05, then the p-value is:
A) 0.4798
B) 0.0404
C) 0.2399
D) 0.0202

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(1) When assuming the population and variences are equal, the Pooled variance would be equal to ...

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