Today, full time college students report spending a mean of 27 hours per week on academic activities, both inside and outside of the classroom. Assume the standard deviation of time spent on academic activities is 4 hours. If you select a random sample of 50 full-time college students:
A. Describe the shape of the sampling distribution. How do you know it is this shape?
B. Find the mean and standard deviation for the distribution of the sample mean (x bar) for a random sample of 50 full-time college students.
C. What is the probability that the sample mean time spent on academic activities is less than 27.5 hours per week?
D. What is the probability that the sample mean time spent on academic activities is at least 26 hours per week?
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