1. On the concept of "Get In-State Tuition at Out-of-State Colleges", Discuss the ways colleges segment the market. Give me your opinion on the justification for the different strata of tuition. Why should out-of-state students subsidize in-state students? Finally, in what ways can students get around the residency requirements of universities?

2. How does the Honeycrisp apple market work? Why is the price of this apple so high? Why do the growers of these apples expect their apples to last only for a short period of time?

The mean time it is taking a group of students to finish a statistics homework is 105 minutes with standard deviation of 19 minutes. Assume that the time is approximately normally distributed.

a) Within which limits you would expect approximately 50% of the students to complete the homework? 95% of the students?

b) In the group the finishing times were 76, 98, 93, 115, 65, 117. Check the data for outliers.

c) If you do not assume normality for time distribution, would your conclusion about outlier(s) change? Explain.

A college administrator would like to determine how much time students spend on homework assignments during a typical week. It is known that the standard deviation for the time students spend on homework is 3 hours per week.    A questionnaire is sent to sample of n=100 students and their response indicates a mean of 7.4 hours per week. Now make an interval estimate of population mean so that you are 99% confident that the "true" mean is in your interval. (i.e. compute the 99% confidence interval) - College Statistics Course

A teacher is interested if students learning from a new edition of a math textbook have higher or lower scores on a math test. She tests a sample of students, and finds the following scores (higher scores indicate better performance). She doesn’t have scores for all of the students who used the old textbook, but she thinks that on average they score a “4”, and so she decides to compare performance to this value. Here is the data she collects: 9 8 1 2 7 9 10 1 8 8 9

In an effort to improve the mathematical skills of 6 students, a teacher provides a weekly 1-hour tutoring session for the students. A pre-test is given before the sessions, and a post-test is given after. The results are shown here. Use a 0.05 to test the claim that the sessions help to improve the students' mathematical skills. Student 1 2 3 4 5 6 Pre-test 82 76 91 62 81 67 Post-test 88 80 98 80 80 73 Find the P-value.

Assume the average age of an MBA student is 30.7 years old with a standard deviation of 2.2 years.

​a) Determine the coefficient of variation.

​b) Calculate the​ z-score for an MBA student who is 26 years old.

​c) Using the empirical​ rule, determine the range of ages that will include 95​% of the students around the mean.

​d) Using​ Chebyshev's Theorem, determine the range of ages that will include at least 94​% of the students around the mean.

​e) Using​ Chebyshev's Theorem, determine the range of ages that will include at least 80​% of the students around the mean.

Lab-3C   Pre-test Loop

Write a MIPS program to count the number of students who failed in a course. The final grades are given in an array. The fail grade is 60.

Example: Array and Output

     .data

NoOfStudents: 10

Values:   60 70 80 50 90 80 55 90 80 70

Output:

2 students failed

     .data

NoOfStudents: 12

Values:   60 70 80 50 90 80 55 90 80 70 55 80

Output:

3 students failed

Grade:ABCDF

Probability:0.10.30.40.10.1

To calculate student grade point averages, grades are expressed in a numerical scale with A = 4, B = 3, and so on down to F = 0.

Find the expected value. This is the average grade in this course.

Explain how to simulate choosing students at random and recording their grades. Simulate 50 students and find the mean of their 50 grades. Compare this estimate of the expected value with the exact expected value from part (a). (The law of large numbers says that the estimate will be very accurate if we simulate a very large number of students.)

A teacher is interested if students learning from a new edition of a math textbook have higher or lower scores on a math test. She tests a sample of students, and finds the following scores (higher scores indicate better performance). She doesn’t have scores for all of the students who used the old textbook, but she thinks that on average they score a “4”, and so she decides to compare performance to this value. Here is the data she collects:

Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.

1. Find the probability that exactly one student is a sports fan.
2. Find the probability that at least one student is sports fan.
3. Find the probability that less than one student is a sports fan.
4. Find the probability that at most one student is a sports fan.
5. Find the probability that more than one student is a sports fan.
6. A sample of 100 students is selected. What is the standard deviation of the number of sports fans you expect?