Consider the following situation: Two nursing students are discovered to have cheated on several assignments. After being questioned by the instructor, both students deny having cheated, even though the evidence is irrefutable. Discuss the students in terms of virtue ethics and Kantian ethics. Do these students have integrity? Do these students have the character to become good nurses? How would you apply the categorical imperative?

Students in a gym class have a choice of swimming or playing basketball each day. Thirty percent of the students who swim one day will swim the next day. Sixty percent of the students who play basketball one day will play basketball the next day. Today, 100 students swam and 200 students played basketball. How many students will swim tomorrow, in two days, and in four days? (Round your answers to the nearest whole number.)

(a) tomorrow: _____students

(b) two days: _____students

(c) four days: _____students

If you have 80 students in an introductory biology statistics class and only 70 are
biology students, then:
(a) Compare the probabilities that you will get no biology students in a random
sample of size 6 when you sample with and without replacement.
(b) Compare the probabilities that you will get all biology students in a random
sample of size 6 when you sample with and without replacement.
(c) Compare the probabilities that you will get 14 biology students and 2 non-
biology students in a sample of size 16 when you sample with and without
replacement.

Approximately 60% of all part-time college students in the United States are female. In random samples of size 100 taken from the population of all part-time college students:

• Describe the sampling distribution of the sample proportion of part-time female college students.

• What is the probability that the sample proportion of part-time female college students is at most 0.51?

• What is the probability that the sample proportion of part-time female college students is at least 0.67?

• What is the probability that the sample proportion of part-time female college students is between 0.53 and 0.60?

A university financial aid office polled a random sample of 528 528 male undergraduate students and 651 651 female undergraduate students. Each of the students was asked whether or not they were employed during the previous summer. 295 295 of the male students and 463 463 of the female students said that they had worked during the previous summer. Give a 80% 80% confidence interval for the difference between the proportions of male and female students who were employed during the summer.

Step 2 of 4 :

Find the critical value that should be used in constructing the confidence interval.

A local university wants to conduct a sample of 200 students out of 6000 students. We can assume that the university maintains a good roster of all registered students. (1) how would you select the 200 students(a) using simple random sample method and (b) systematic sampling method? (2) suppose that the university administration wants to make sure in particular students who major in music (a small department with only 8% of students major in music)be adequately included in your sample, how would you go about selecting a sample ?

Please answer the question (c)

For simplicity, assume that CUHK has only four colleges: Chung Chi, New Asia, United, and Shaw. Let C,N,U, and S be the sets of all Chung Chi students, New Asia students, United students, and Shaw students, respectively. Let M be the set of all Music Major students. Let Y be the sets of all students living in Ying Lin Tang (a Chung Chi hostel). Let W be the set of all students who attended the Wei Lun Lecture.

(a) Express the following in set-theoretic terms:

vii. New Asia students who did not attend the 2015 Wei Lun Lecture.

(c) Show that for a student not belonging to Category vii in (a), if the student did not attend the 2015 Wei Lun Lecture, then the student does not belong to New Asia.

About 72% of 100 randomly sampled MCC students believe they can achieve the American dream and about 62% of 100 randomly sampled Ferris State Universtiy students believe they can achieve the American dream. Construct a 98% confidence interval for the difference in the proportions of Montcalm Community College students and Ferris State University students who believe they can achieve the American dream.

Round to 3 decimal places where appropriate.

If the assumptions are met, we are 98% confident that the difference in the population proportions of MCC and FSU students who believe they can achieve the American dream is between ________ and _________.

If many groups of 100 randomly selected MCC students and 100 randomly selected FSU students were surveyed, then a different confidence interval would be produced from each group. About __________% of these confidence intervals will contain the true population proportion of the difference in the proportions of MCC students and FSU students who believe they can achieve the American dream about _______________% will not contain the true population difference in proportions.