Answer the following questions on the F test statistic. Complete parts (a) throu

Question

Answer the following questions on the F test statistic. Complete parts (a) through (c) below. If s^2_1 represents the larger of two sample variances, can the F test statistic ever be less than 1? A. Yes, because the ratio s^2_2/s^2_1 will always be less than 1 B. Yes, because the ratio s^2_1/s^2_2 will always be less than 1 C. No, because the ratio s^2_2/s^2_1 will always be greater than 1 D. No, because the ratio s^2_1/s^2_2 will always be greater than 1 Can the F test statistic ever be a negative number?

Explanation / Answer

question a)

answer is option D

NO,since s21 represnts the larger of two sample variances

question b)

NO,Since Ftest statistic is the ratio of two sample variances,variances can not be negative,

so F TEST statistic can never be negative

   

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