A large university records the number of credit hours taken during the semester

Question

A large university records the number of credit hours taken during the semester by its students. At that university students taking 13 credit hours or more are considered full time, but there are some part time students that may be taking as few as 1 credit hour per semester. Students are not allowed to take more than 20 credit hours, but most students take around 14 hours. For the most recent semester the university produced the following summary for the number of credit hours.

1) A sample of 100 students is randomly selected from this university. Use the normal distribution and the idea of a sampling distribution to find the probability that the average number of credit hours taken by these students would be over 15 hours. Give your answer to the nearest hundredth. Remember that probabilities are numbers between 0 and 1.   Answer ______1

Explanation / Answer

Given n=100, xbar =15.5, s=1

The probability that the average number of credit hours taken by these students would be over 15 hours is

P(xbar > 15) = P((xbar-)/(s/n) > (15-15.5)/(1/10))

=P(Z>-5)

=0.9999 (check standard normal table)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.