Grades on an english test can be modeled as a normal distribution with mean 80 and standard deviation 5.

A) if the english department is awarding students with test grades in the top 5%, find the lowest grade a student needs to receive the award.

B) A student is randomly selected from the class so the distribution of this student's test grade is N(80,5), what is the probability that this student scored above a 90?

C) What is the probability that the student in part b scored exactly a 90?

D) If 5 students are randomly selected from the class. what is the probability that exactly 3 of them scored above a 90?

E) If 20 students are randomly selected from the class what is the probability that at least 12 of them scored above an 80?

A researcher is interested in examining whether there are differences in students’ sense of safety across schools. She selects three schools and surveys five students from each school. The tab labeled Question 3 reflects the answers from this survey—the higher the score, the safer the student feels. Is there a difference between these schools in the students’ sense of safety?

a. What is the null hypothesis?

b. What is the research hypothesis?

c. Why run an ANOVA statistical test?

d. What are the results of the hypothesis test? Interpret your findings. Can you reject the null hypothesis?

The question that I am using in the signature assignment is how bad technology is for the workplace.

Completing an initial draft of the Signature Assignment requires that students identify which of their proposed solutions is most deserving of adoption. Students should provide an account of this decision and, then, move immediately on to the task of envisioning and describing the process of implementing their proposed solution. What would "taking action" on this proposed solution look like? As was the case in previous steps of the problem-solving process, it is important that students think and analyze in interdisciplinary ways. What does the accumulated knowledge in your academic discipline do to inform the subject of implementation? What is known in other fields that ought to be carefully examined? Finally, what might be the indictors of success in solving the problem? (20 points possible)

In your day to day travels, select two individuals with whom you have a casual acquaintance. This might be a clerk at your bank or someone who works on your campus. Do not use students for this journal assignment. Offer genuine praise to these two individuals. Notice their reactions; their posture; their eye contact, etc. How do you think these reactions would differ if you had offered insincere or false praise to these two individuals? What might you say in offering insincere praise? Describe your experience in detail. Do you think students can tell when teachers offer insincere or false praise? What are some examples of insincere praise that you have heard spoken to students?

Globally, one of the most affected sector for sure is 'Education System'. Currently more than 80% of all students in 173 countries are in a lockdown and try to get education remotely. Although the prior status in education was not promising - only 53% of the students 10 years old can understand the text they read - now we are in a worse situation. News about drop out students, schools getting closed are spreading because the lack of infrastructure for remote education. Obviously non of the countries were prepared for such a lockdown because of a pandemy. What can be done for these stuations? How? With what funds? What should we invest on as a startup point of view? etc. Please write as much ideas as you can to find out multiple solutions.  

Directions: Use the Chi-Square option in the Nonparametric Tests menu to answer the questions based on the following scenario. (Assume a level of significance of .05 and use information from the scenario to determine the expected frequencies for each category) During the analysis of the district data, it was determined that one high school had substantially higher Graduate Exit Exam scores than the state average and the averages of high schools in the surrounding districts. To better understand possible reasons for this difference, the superintendent conducted several analyses. One analysis examined the population of students who completed the exam. Specifically, the superintendent wanted to know if the distribution of special education, regular education, and gifted/talented test takers from the local high school differed from the statewide distribution. The obtained data are provided below.

Number of students from the local high school who took the graduate exit exam - Special education - 16; Regular education - 90; Gifted/talented 16

Percent of test taking students statewide who took the Graduate Exit Exam - Special education 8%; Regular Education 79%; Gifted/Talented 13%

1. If the student distribution for the local high school did not differ from the state, what would be the expected percentage of students in each category?

2. What were the actual percentages of local high school students in each category? (Report final answer to two decimal places)

3. State an appropriate null hypothesis for this analysis.

4. What is the value of the chi-square statistic?

5. What are the reported degrees of freedom?

6. What is the reported level of significance?

7. Based on the results of the one-sample chi-square test, was the population of test taking students at the local high school statistically significantly different from the statewide population?

8. Present the results as they might appear in an article.

Three students have each saved $1,000. Each has an investment opportunity in which he or she can invest up to $2,000. Here are the rates of return on the students’ investment projects:

Assume borrowing and lending is prohibited, so each student uses only personal saving to finance his or her own investment project.

Complete the following table with how much each student will have a year later when the project pays its return.

Now suppose their school opens up a market for loanable funds in which students can borrow and lend among themselves at an interest rate rr.

If a student’s expected rate of return is less than rr, he or she would choose to _______ (borrow or lend?) .

Suppose the interest rate is 10 percent.

Among these three students, the quantity of loanable funds supplied would be $____ , and quantity demanded would be $_____.

Now suppose the interest rate is 15 percent.

Among these three students, the quantity of loanable funds supplied would be $______ , and quantity demanded would be $________.

At an interest rate of ____% , the loanable funds market among these three students would be in equilibrium. At this interest rate, _________ (Teresa, Sam, Sam and Teresa, Lorenzo, Lorenzo and Sam) would want to borrow, and ________ (Lorenzo and Sam, Sam, Teresa, Lorenzo, Sam and Teresa) would want to lend.

Suppose the interest rate is at the equilibrium rate.

Complete the following table with how much each student will have a year later after the investment projects pay their return and loans have been repaid.

True or False: Both borrowers and lenders are made better off.

True

False

An educational psychologist wants to know if a popular new hypnosis technique impacts depression. The psychologist collects a sample of 15 students and gives them the hypnosis once a week for two months. Afterwards the students fill out a depression inventory in which their mean score was 50.55. Normal individuals in the population have a depression inventory mean of 51 with a standard deviation of 3.1. What can be concluded with α = 0.01?

a) What is the appropriate test statistic?
---Select--- na z-test OR one-sample t-test OR independent-samples t-test OR related-samples t-test

b)
Population:
---Select--- students receiving hypnosis OR normal individuals OR two months OR new hypnosis technique
Sample:
--Select--- students receiving hypnosis OR normal individuals OR two months OR new hypnosis technique

c) Obtain/compute the appropriate values to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value = ________ ; test statistic = ________
Decision:  ---Select--- Reject H0 OR Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[________ ,________ ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and select "na" below.
d = ________;   ---Select--- na OR trivial effect OR small effect OR medium effect OR large effect
r² = ________;   ----Select--- na OR trivial effect OR small effect OR medium effect OR large effect

f) Make an interpretation based on the results.

A) The depression of students that underwent hypnosis is significantly higher than the population.

B) The depression of students that underwent hypnosis is significantly lower than the population.    

C) The new hypnosis technique does not significantly impact depression.