In a study on the physical activity of people, researchersmeasured overall physical activity as the total number ofregistered movements (counts) over a period of time and thencomputed the number of counts per minute (cpm) for each subject.The study revealed that the overall physical activity of obesepeople has a mean of μ=322cpm and a standard deviation σ=92cpm. Ina random sample of 100 obese people, consider x ̅, the sample meancounts per minute.
Now suppose we are interested in the total activity (Σcpm) of arandom sample of 25 obese people. Answer the following questions ona separate sheet of paper and upload to \"Quiz Ch. 7 Free ResponseAnswer\":
a) Write a distribution statement that describes this new study oftotal activity (Σcpm).
b) Find the probability that the total cpm for 25 obese people isless than 7,500 cpm.
c) Sketch the graph, labeling and scaling the horizontal axis.Shade the region corresponding to the probability in part b.
d) How likely is it that those 25 people will collectively registermore than 9,000 cpm? Explain how you came to that conclusion.
