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10. Getaway Sports is a vacation destination for the serious sports fanatic. Rajesh is in charge of equipment for the complex. The last shipment of ping- pong balls was normally distributed with a mean weight of 2.7 grams and a standard deviation of 0.1 gram. The 100-pound weights he orders from the manufacturer for the fitness center are normally distributed with mean weight. 100.2 pounds and standard deviation 0.1 pound. a. Which distribution has the larger standard deviation? b. Which distribution is more dispersed? Explain.​



Answer :

Considering the coefficient of variation, we have that:

a. Both distributions have the same standard deviation.

b. The distribution of weights is more dispersed.

What is the coefficient of variation of a distribution?

The coefficient of variation of a distribution is given by the standard deviation of the distribution divided by the mean of the distribution.

The higher the coefficient, the more dispersed the distribution is.

For this problem, both distributions have the same standard deviation, but their coefficients are given as follows:

  • Ping-pong: 0.1/2.7 = 0.037.
  • Weights: 0.1/100.2 = 0.001.

Due to the higher coefficient of variation, the distribution of weights is more dispersed.

More can be learned about the coefficient of variation of a distribution at https://brainly.com/question/24495359

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