5.32 Admitting students to college. A selective colleewould like to have an entering class of 900 students.Because not all students who are offered admissionaccept, the college admits more than 900 students.Past experience shows that about 78% of the studentsadmitted will accept. The college decides to admit1150 students. Assuming that students make theirdecisions independently, the number who accept has theB(1150, 0.78) distribution. If this number is less than900, the college will admit students from its waiting list.aily5.(a) What are the mean and the standard deviation of thenumber X of students who accept?(b) The college does not want more than 900 students.Use the Normal approximation to find the probabilitythat more than 900 students accept.(c) If the college decides to decrease the number ofadmission offers to 1100, what is the probability thatmore than 900 will accept?(d) Based on your answers to parts (b) and (c), shouldthe college admit 1100 or 1150 students? Explain yourouanswer.

As per our guidelines, we are allowed to answer first three sub-parts . Thanks Let X be the number…

Answered: 5.32 Admitting students to college. A…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 4242 4242 2323 3232 3030 4242 2525 4747…
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