In a study on the physical activity of young adults, pediatricresearchers measured overall physical activity as the total numberof registered movements (counts) over a period of time and thencomputed the number of counts per minute (cpm) for each subject(International Journal of Obesity, Jan. 2007). The study revealedthat the overall physical activity of obese young adults has a meanof m = 320 cpm and a standard deviation of s = 100 cpm. (Incomparison, the mean for young adults of normal weight is 540 cpm.)In a random sample of n = 100 obese young adults, consider thesample mean counts per minute, x.
a. Describe the sampling distribution of x.
b. What is the probability that the mean overall physicalactivity level of the sample is between 300 and 310 cpm?
c. What is the probability that the mean overall physicalactivity level of the sample is greater than 360 cpm?
