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In a study on the physical activity of young​ adults, pediatric researchers measured overall physical activity...

In a study on the physical activity of young​ adults, pediatric researchers measured overall physical activity as the total number of registered movements​ (counts) over a period of time and then computed the number of counts per minute​ (cpm) for each subject. The study revealed that the overall physical activity of obese young adults has a mean of mu equals 320 cpm and a standard deviation of sigma equals 90 cpm. In a random sample of n equals 100 obese young​ adults, consider the sample mean counts per​ minute, x overbar.

A. What is the probability that the mean overall physical activity level of the sample is between 300 and 310​ cpm?

B. What is the probability that the mean overall physical activity level of the sample is greater than

363 cpm?

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