The trend of thinner beauty pageant winners has generated charges that the conte

Question

The trend of thinner beauty pageant winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are body mass indexes (BMI) for beauty pageant winners from two different time periods. Find the coefficient of variation for each of the two sets of data, then compare the variation. The coefficient of variation for the BMI's of beauty pageant winners from the 1920s and 1930s is %. (Round to one decimal place as needed.) The coefficient of variation for the BMI's of recent beauty pageant winners is %. (Round to one decimal place as needed.) Is there a difference in variation between the two data sets? A. The BMI's of beauty pageant winners from the 1920s and 1930s have considerably less variation than the BMI's of recent winners. B. There is no significant difference in the variations. C. The BMI's of recent beauty pageant winners have considerably less variation than the BMI's of winners from the 1920s and 1930s.

Explanation / Answer

The statistical software output for this problem is:

Summary statistics:

Hence,

First blank: 7.4

Second blank: 6.4

Option B

Column Coef. of var. BMI (from the 1920s and 1930s) 7.4283462 BMI (from recent winners) 6.4025085

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