It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with mean 373 minutes and standard deviation 67 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with mean 526 minutes and standard deviation 107 minutes. A researcher records the minutes of activity for an SRS of 5 mildly obese people and an SRS of 5 lean people. (a) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes? (b) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes?

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It appears that people who are mildly
obese are less active than leaner people. One study looked
at the average number of minutes per day that people spend
standing or walking.
Among mildly obese people, the mean
number of minutes of daily activity (standing or walking) is
approximately Normally distributed with mean 373 minutes and standard deviation 67 minutes. The mean number of minutes of daily activity for lean people is approximately Normally
distributed with mean 526 minutes and standard deviation 107
minutes. A researcher records the minutes of activity for an
SRS of 5 mildly obese people and an SRS of 5 lean people.


(a) What is the probability that the mean number of minutes of
daily activity of the 5 mildly obese people exceeds 420 minutes?


(b) What is the probability that the mean number of minutes
of daily activity of the 5 lean people exceeds 420 minutes?

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