Question 1: A researcher wants to study the physical activity levels among adults. The mean weight of adult Torontonians is 135 lbs with a standard deviation of 10 lbs. She does a survey of 10 individuals who have a mean weight of 140 lbs.
a. What is the probability that the average will be 140 lbs or longer if the individuals are randomly selected?
b. If the researcher wants 10 individuals to average no more than 140 lbs less than 5% of the time, what must the population mean be, given that the standard deviation remains at 10 seconds?