Given the following data, what would be the results of the test for equal varian

Question

Given the following data, what would be the results of the test for equal variances utilizing the folded technique. Set alpha at.01 x, = 482 books 12465 books n1 21 (training) n2 26 (no training) S1 43 books s2 39 books a) There is no significant difference in variances. The F critical ratio of 1.22 is less than the F critical b) There is no significant difference in variances. The F critical ratio of 822 is less than the F critical c) There is no significant difference in variances. The critical ratio of 1.22 is less than the critical d) There is a significant difference in variances. The F critical ratio of .822 is less than the F critical e) There is a significant difference in variances. The F critical ratio of 1.22 is less than the F critical value of 2.70. FTR the null of equal variances, a type 2 error is possible. Pooling may be utilized to develop the denominator for the critical ratio of t. value of 2.41. FTR the null of equal variances, a type 2 error is possible. Pooling may be utilized to develop the numerator for the critical ratio of t value of 2.01. FTR the null of equal variances, a type 2 error is possible. Pooling may be utilizecd to develop the denominator for the critical ratio of t value of 2.70. FTR the null of equal variances, a type 2 error is possible. Pooling may be utilized to develop the numerator for the critical ratio of t value of 2.41. FTR the null of equal variances, a type 2 error is possible. Pooling may be utilized to develop the denominator for the critical ratio of t

Explanation / Answer

The statistical software output for this problem is:

Two sample variance summary hypothesis test:
?12 : Variance of population 1
?22 : Variance of population 2
?12/?22 : Ratio of two variances
H0 : ?12/?22 = 1
HA : ?12/?22 ? 1

Hypothesis test results:

Hence,

Option A is correct.

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value ?12/?22 20 25 1.2156476 1.2156476 0.6367

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