Three professors at the University of Macau compared two different approaches to teaching courses in the faculty of business administration. At the time of the study, there were 2,100 students in the faculty, and 96 students were involved in the study. Demographic data collected on these 96 students included year of study (first, second, third, fourth), age, gender, and major. What is the population of interest in the study?

Select one:

a. The demographic data collected from the 96 selected students in the faculty of business administration at the University of Macau at the time of the study.

b. All the students in the faculty of business administration at the University of Macau in the academic year 2019/2020.

c. The 96 selected students in the faculty of business administration at the University of Macau in the academic year 2019/2020.

d. The 2,100 students in the faculty of business administration at the University of Macau at the time of the study.

. According to a 2018 report from the Center on Education and the Workforce at Georgetown University, 70 percent of full-time college students are working. Suppose 15 students full-time college students are randomly selected and asked whether they are working. (a) (3 points) Explain (as best as you can) why this is a binomial experiment.

(b) (1 points) Find and interpret the probability that exactly 10 students say they work. (c) (1 points) Find and interpret the probability that at least 10 students say they work. (d) (2 points) Find the expected value and the standard deviation of this binomial random variable. (e) (2 points) Which event is more likely, A) at most 11 students work or B) 14 or more students work ? How do you know?

There are two lines of students. The first line has students s1, s2, s3, s4 and s5, in that order. The second line has students t1, t2, t3, t4, t5, and t6, in order. Both lines will be merged into one as follows: If both lines still have students in them, one of the two lines is randomly selected and the person in the front of that line will go to the back of the merged line. If only one line remains, then all of those students will join in the back of the merged line, in their original order. For example, one way in which the students could line up is: s1, t1, t2, t3, s2, t4, t5, s3, t6, s4 and s5. Using this procedure, how many possible ways could these 11 students line up?

The five statistics students (n=5) are compared to a sample of 8 sociology students with regard to the number of hour they sleep. Here is the data for hours slept:

8, 6, 5, 13, 10

The mean hours slept for sociology students (n=8) is 7.2 with a standard deviation of 1.7.

Conduct a t-test to determine if the statistics students sleep a different amount than the sample of sociology students?

Be sure to address all four steps of the hypothesis test.

Problem: Internet use for US and Indian Students Sample Course work use (hours) Personal use (hours) US students Mx=1.76 Mx=2.08 N=149 Sx=1.52 Sx =1.91 Indian Students My=.73 My=.87 N=306 Sy =.79 Sy =.78 Determine whether US students have significantly higher internet use for course work than the Indian students at .01 level of significance.

A tug of war has teachers and the principal challenging the students! In the first round 3 teachers and 5 students came to a draw. In the second round the principal joined the students. The principal and 10 students came to a draw against 8 teachers in the second round. Assuming each teacher has the same strength, and each student has the same strength, who will win the tie breaking round if it is: 15 students and the principal challenging 10 teachers? Show your thinking.

Each of the 60 students in a class belongs to exactly one of the three groups A,B, or C. The
membership numbers for the 3 groups are as follows:
A: 15 students
B: 20 students
C: 25 students
First, choose one of the 60 students at random and let X be the size of that student’s group;.
Next, choose one of the 3 groups at random and let Y be its size.
a. Write down the pmf for X and Y.
b. Compute ?(?) ??? ?(?).
c. Compute ???(?) ??? ???(?).

Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. The students collect a random sample of 46 students. The mean of the sample is 12.5 units. The sample has a standard deviation of 1.8 units.

What is the 95% confidence interval for the average number of units that students in their college are enrolled in? Assume that the distribution of individual student enrollment units at this college is approximately normal.

( , )

Your answer should be rounded to 2 decimal places.

College students are increasingly working while attending school. A study was conducted to determine if there is a significant difference in earnings of male college students and female college students during the eight months of the academic year. A sample of 800 male students earned an average of $5,995 with a standard deviation of $2,500. A sample of 700 working female students earned an average of $5,480 with a standard deviation of $2,600. Use .10 level of significance.

Which of the following represents the null hypothesis?

The proportion of male students at SIBT is known to be 62%. Assume students are randomly assigned to tutorial groups.

1. What is the probability that there would be fewer than 10 males in a tutorial group of 25 students? (4dp) Answer
2. What is the probability that there would be more than 18 males in a tutorial group of 25 students? (4dp)