A Marketing Study Was Conducted to Compare the Variation in the Age

Multiple Choice

A marketing study was conducted to compare the variation in the age of male and female purchasers of a certain product. Random and independent samples were selected for both male and female purchasers of the product. The sample data is shown here:

Female: $\mathrm { n } = 31 , \quad$ sample mean $= 50.30 , \quad$ sample standard deviation $= 13.215$
Male: $\quad \mathrm { n } = 21 , \quad$ sample mean $= 39.80 , \quad$ sample standard deviation $= 10.040$

Identify the rejection region to that should be used to determine if the variation in the female ages exceeds the variation in the male ages when testing at $\alpha = 0.05$ .

A) $\mathrm { F } > 1.74$
B) $F > 2.12$
C) F > $2.04$
D) $\mathrm { F } > 1.93$