In: Statistics and Probability
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 (International Journal of Obesity, Jan. 2007). The study revealed that the overall physical activity of obese young adults has a mean of 320 cpm and a standard deviation of 100 cpm. In a random sample of n = 100 obese young adults:
a) Describe the distribution of the average overall physical activity level of this sample obese young adults. What are the values of mean and standard deviation for this distribution?
b) What is the probability that the mean overall physical activity level of the sample is greater than 325 cpm?
c) What is the probability that the mean overall physical activity level of the sample is between 310 and 315 cpm?