In the public schools in Massachusetts, the average number of students per computer for the 2007-2008 school year was 3.3 with a standard deviation of 1.3. A random sample of41 publicschools in the state of Massachusetts was obtained last year.

(a) Determine the mean (in students per computer) of the sampling distribution of the sample mean.

----students per computer

(b) Calculate the standard deviation (in students per computer) of the sampling distribution of the sample mean. (Round your answer to three decimal places.)

----students per computer

(d)What is the probability of obtaining a sample average of 3 students per computer or more if the average number of students per computer has not changed since the2007-2008 schoolyear? (Round your answer to four decimal places.)