3. A recent study done on college students found that the mean time they spend on homework assignments each week is 6.5 hours with a standard deviation of 1.2 hours. Suppose a random sample of 50 college students is taken. Make sure you show all of your work using the appropriate formulas or calculator functions, as needed Round your answers to three decimal places, as needed. a) Describe the sampling distribution of the sample mean. b) What is the probability that the mean time a sample of 50 college students spend on homework assignments per week will be less than 7.0 hours? c) What is the probability that the mean time a sample of 50 college students spend on homework assignments per week will be between 5.5 and 6.0 hours?.