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 andfemale 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: $\mathrm { n } = 21 , \quad$ sample mean $= 39.80 , \quad$ sample standard deviation $= 10.040$

Calculate the test statistics that should be used to determine if the variation in the female ages exceeds the variation in the male ages.
A) $F = 1.597$
B) $\mathrm { F } = 1.732$
C) $\mathrm { F } = 1.316$
D) $F = 1.264$

Question

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 andfemale 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: $\mathrm { n } = 21 , \quad$ sample mean $= 39.80 , \quad$ sample standard deviation $= 10.040$

Calculate the test statistics that should be used to determine if the variation in the female ages exceeds the variation in the male ages.
A) $F = 1.597$
B) $\mathrm { F } = 1.732$
C) $\mathrm { F } = 1.316$
D) $F = 1.264$

Quizplus · Accepted Answer

The test statistic for comparing variances is the F-statistic, calculated as the ratio of the two sample variances. Here, $ F = \frac{(13.215)^2}{(10.040)^2} = 1.732 $.

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