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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 a mean weight of 100.2 pounds and a standard deviation of 0.1 pound.

A) Which distribution has the larger standard deviation?

B) Which distribution is more dispersed? Explain.

Answer :

The standard deviation of the fitness center is larger than the standard deviation of the last shipment

Which distribution has the larger standard deviation?

The given parameters are:

Distribution: Normal distribution

The last shipment

Mean weight = 2.7 grams

Standard deviation = 0.1 gram.

Fitness center

Mean weight = 100.2 pounds

Standard deviation = 0.1 pound

In the above parameters, we can see that the fitness center has a larger mean weight than the last shipment, while they both have the same standard deviation

This means that the standard deviation of the fitness center is larger than the standard deviation of the last shipment

And so, the distribution of the fitness center is more dispersed

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