A recent survey reported that the average person consumes 6 glasses of water per day (250 mL per glass). Assume the standard deviation of water consumption is 1.5 glasses per day and the consumption rate follows a normal probability distribution. A sample of 100 students is taken.
a. What is the standard error of the mean?
b. What is the probability that the average student drinks between 6 and 6.25 glasses of water per day?
c. What is the probability that the average student drinks less than 5.8 glasses of water per day?