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 379 minutes and standard deviation 69 minutes.
The mean number of minutes of daily activity for lean people is approximately Normally distributed with 525 minutes and
standard deviation 108 minutes. A researcher records the minutes of activity for an SRS of 7 mildly obese people and an SRS
of 7 lean people.
Macmillan Learning
What is the probability that the mean number of minutes of daily activity of the 7 mildly obese people exceeds 410 minutes?
Give your answer to four decimal places.
probability: