You are a second year student in Prestige Open University. The recent pandemic, Covid-19, has forced your university to move lessons online. This change brought about relief to some students but also some challenges to others. As a second year student, you have decided to write a proposal to the dean of the school to highlight the problems faced and suggest some possible solutions.

In your proposal to the dean of the school,
 state the purpose of your proposal;
 suggest two (2) problems that you faced while attending classes online;
 suggest two (2) solutions to overcome those problems; and
 describe the benefits of those suggestions to the students.

Your proposal should be about 600-800 words.

Suppose a software monopolist faces two markets for its software, students and professionals. The demand curve of professionals is given by QP = 200 − 2PP and the demand curve by students is given by QS = 150 − 3PS. The firm’s cost function is C(Q) = 400 + 5Q.

(a) If the firm can price discriminate, what price should it charge in each market to maximize profits? How much profit does it earn?

(b) If the firm cannot price discriminate, what price should it charge? Verify that it sells to both markets at this price. How much profit does it earn? Hint: If the firm cannot price discriminate, this means it must treat the two markets as a single combined market.

Decisions about alpha level may be different, especially as it relates from hard sciences to social sciences. For example, a medical trial for cancer treatments conducts their statistical tests at .0001 – so for every 1 out of 10,000 patients, there may be issues, sickness or even death. For social science, we use alpha .05. We are comfortable with performing research, for example, on students. So we are satisfied with losing 5 out of 100 students or having our results being incorrect 5 out of 100 times. Do you agree with these alpha levels? Why or why not? What if your child’s education and the teacher assigned to him/her would be successful 95 out of 100 times?

The following scenario applies to questions 6-8: A professor reported that final exam scores were left skewed with a mean score of 81.9 and a standard deviation of 6.1.
A student took a random sample of 50 students and calculated the mean score to be 80.3. What is the probability that this student would get a mean of 80.3 or lower?

Suppose the same student took another sample, this time of size 100, and calculated the mean. What is the probability that the student would get a mean of 84 or higher?

Suppose the student is only able to sample 25 students from the class. Can he still calculate the probability of getting an average test score higher than 84? Why or why not?

Before you begin this discussion, find a coin and flip it 10 times, recording the outcome of each flip as either heads or tails. Post your results in this discussion, along with the percentage of flips that resulted in heads. We might expect that percentage to be 50%, but the results may vary from student to student (sometimes drastically) in this exercise. As a response to other students, add their data to yours and compute the new percentage of flips that result in heads (You can just make up realistic predictions for the other students). With enough data added, what would you expect to find? What does the central limit theorem have to say about the long-term outcome of exercises like this?

The makers of the Oral-B 3D toothbrush claims that using their brush will "significantly combat tooth decay" when compared with regular toothbrushes. College students have an average of 0.70 (s = 0.40) cavities filled in a given year. You randomly ask 100 students to use the Oral-B 3D toothbrush for one year. They have an average of 0.631 cavities filled in that year. Does the Oral-B 3D toothbrush combat tooth decay at a significance level of .05? Complete a hypothesis test of this study that the using the Oral-B 3D toothbrush reduces (e.g., a "directional" hypothesis) tooth decay. Be sure to include all six steps of a hypothesis test.

USE Z Test.

Grade point average, fraternities, sororities, and two-way between-groups ANOVA: A sample of students from our statistics classes reported their GPAs, indicated their genders, and stated whether they were in the university’s Greek system (i.e., in a fraternity or sorority). Following are the GPAs for the different groups of students: Men in a fraternity: 2.6, 2.4, 2.9, 3.0 Men not in a fraternity: 3.0, 2.9, 3.4, 3.7, 3.0 Women in a sorority: 3.1, 3.0, 3.2, 2.9 Women not in a sorority: 3.4, 3.0, 3.1, 3.1 What are the independent variables and their levels? What is the dependent variable? Draw a table that lists the cells of the study design. Include the cell means. Conduct all six steps of hypothesis testing.

Decisions about alpha level may be different, especially as it relates from hard sciences to social sciences. For example, a medical trial for cancer treatments conducts their statistical tests at .0001 – so for every 1 out of 10,000 patients, there may be issues, sickness or even death. For social science, we use alpha .05. We are comfortable with performing research, for example, on students. So we are satisfied with losing 5 out of 100 students or having our results being incorrect 5 out of 100 times. Do you agree with these alpha levels? Why or why not? What if your child’s education and the teacher assigned to him/her would be successful 95 out of 100 times?

z scores are useful for A) finding the average B) measuring distance C) comparing scores on different scales D) none of the above

Kurtosis refers to a distribution that is negatively skewed. True or false

The following is an example of a null hypothesis: People who eat dinner after 6 PM weigh more than people who do not eat after 6 PM. True or False

The following is an example of a directional hypothesis: Students who spend more hours studying get higher grades than students who spend less hours studying. True or False

If a researcher concludes that a variable has an effect when it really doesnt, the research has made what type of error?

Decisions about alpha level may be different, especially as it relates from hard sciences to social sciences. For example, a medical trial for cancer treatments conducts their statistical tests at .0001 – so for every 1 out of 10,000 patients, there may be issues, sickness or even death. For social science, we use alpha .05. We are comfortable with performing research, for example, on students. So we are satisfied with losing 5 out of 100 students or having our results being incorrect 5 out of 100 times. Do you agree with these alpha levels? Why or why not? What if your child’s education and the teacher assigned to him/her would be successful 95 out of 100 times?