Answer the following questions on the F test statistic. Complete parts {a} through (d) below. a. if s? represents the larger of two sample variances, can the F test statistic ever be less than 1? 2 51 O A. Yes, because the ratio will always be less than 1. @i B. Yes, because the ratio will always be less than 1. O C. No, because the ratio 2 will always be greater than 1. s2 2 52 O D. No, because the ratio 2 will always be greater than 1. 51 b. Can the F test statistic ever be a negative number? 0 A' Yes, because s? can take on values from 1 to 1 inclusive. O B. Yes, because the numerator and denominator used to calculate the F test statistic can both take on negative and positive values. O C. No, because sample variances cannot be negative, and the result of dividing the squares of two nonnegative numbers is never negative. C) D. No, because sample variances are always negative and the result of dividing the squares of two negative numbers is never negative. c. if testing the claim that 5% 3E 03, what do we know about the two samples ifthe test statistic is F = 1? O A. The two samples have the same standard deviation (or variance]. 0 B. The two samples have radically different standard deviations [or variances}. O C. The two samples have fairly different standard deviations {or vadances}. O D. The two samples come from populations with the same standard deviation [or variance]. d. Is the F distribution symmetric, skewed left, or skewed right? The F distribution is |:|