In the department of education at ur university, student recooreds suggest that the population of students spends an average of 6.50 hours per week playing organized sports. The population's standard deviation is 3.50 hours per week. Based on a sample of 64 students , Healthy Lifestyles Incorporated (HLI) wouild like to apply the central limit theorem to make various estimates.
a) Compute the standard error of the sample mean: .44
b) What is the chance HLI will find a sample mean between 5.6 and 7.4 hours?
c) Calculate the probability that the sample mean will be between 6.1 and 6.9 hours.