Interview a certified special education teacher at the educational level (PK- 12) of your program, about the following:

What are some similarities and differences among students with and without exceptionalities?
What are some characteristics of various exceptionalities and the educational implications for students with exceptionalities?
What is the effect an exceptionality can have on a student's academic and social development, attitudes, interests, and values?
How do you collaborate with general education teachers?
In what ways do you address the unique learning needs of the individuals with exceptionalities in the classroom, including for those students with culturally and linguistically diverse backgrounds?
How do you protect the privacy of students with exceptionalities? What are some dilemmas you have experienced with this?

In 250-500 words, summarize and reflect upon your interview and on the professionalism and integrity of protecting student privacy. In addition, be sure to explain how you will use your findings in your future professional practice, citing two recommended strategies for differentiating instruction based on learning differences.

Students studying at GWU spend an average of $172.50 per week on basic needs other than housing. Use this figure as the population mean and assume that population standard deviation is $75.00.

1. What is the probability that the mean expenditure for a sample of 35 students is within $20 of the population mean? What assumption do you need to make for this calculation?
2. What is the probability that the mean expenditure for a sample of 50 students is within $20 of the population mean?
3. What is the probability that the mean expenditure for a sample of 70 students is within $20 of the population mean?
4. Which, if any, of the samples sizes in parts (a), (b), and (c) would you recommend in order to have at least a .95 probability that the sample mean is within $20 of the population mean?
5. Using the standard error in c), calculate the value of x_1, x₂ such that P(x₁ ≤ x ≤ x₂) = .95 and express that result in terms of a range around the original population mean of $172.50. Hint: Use the conversion formula from z to x.

Psychologists conducted a survey of 300 high school students and their attitudes towards vaping. One of the variables of interest was the response to the question, “Are you confident that you can resist peer pressure from your friends to vape?” Each response was measured on a 7-point likert scale, from 1=“Absolutely not” to 7=“Absolutely yes.”, as part of a survey given to the students after attending a presentation warning of the hazards of vaping. The psychologists reported a sample mean response of 4.75 and a sample standard deviation of 1.69 for this test item. Suppose that it is known that the true mean response to this question for students who do not attend the anti-vaping presentation is μ=4.3 for this question.

Conduct a test of hypothesis to determine whether the sample of students who attended the presentation are less likely to succumb to peer pressure. Use α =.05

b.) What is the p-value associated with your findings?

c.) If you were to instead conduct this test using α=.01, does your conclusion change? Explain why or why not

(a) A researcher wishes to prove that more than 75% of undergraduate students at the Mcgill University read McGill's student newspaper regularly. If 80% of all McGill students read the newspaper regularly, what is the probability that with a random sample of 227 students, the researcher ends up with insufficient evidence to reject the null hypothesis at the 1% significance level? In other words, what is the probability that the researcher makes a Type II error? Answer with hypotheses in formal notation, TWO fully-labelled graphs, a quantitative analysis, and the requested probability. Your graphs should be unstandardized, similar to the ones you have seen in lectures, with points/areas of interest clearly labelled.

(b) What would happen to the probability you calculated in part (a) if the researcher was trying to prove that more than 72% of undergraduate students read the newspaper, while everything else in the question remained unchanged? What is the intuition behind this? You do not need any calculations. Explain your reasoning in 1-2 sentences.

A nightclub owner has both students and adult customers. The demand for drinks by a typical student is Qs= 30-3p The demand for a typical adult is Qa= 15-2p There are equal numbers of students and adults. The marginal cost of each drink is $3.

What price will the club owner set if she cannot discriminate between the two groups? What will her total profit be at this price?

If the club owner could separate the groups and practice third-degree price discrimination what price per drink would be charged to members of each group? What would be the club owner’s profit?

If the club owner can “card” patrons and determine who among them is a students and who is not, and in turn, can serve each group by offering a cover charge and a number of drink tokens to each group, what will the cover charge and the number of tokens given to students be? What will be the cover charge and number of tokens given to adults? What is the club owner’s profit under this regime?

You would like to determine who in a group of 100 students carries antibodies for a certain virus. You can perform blood tests on each student individually, which would require 100 tests. Instead, you can partition the students into 10 groups of 10. Combine the blood samples of the 10 students in each group, and analyze the combined sample. If none of the 10 students in that group carries the antibodies, the test will show negative, while if one or more do carry the antibodies, the test will turn out positive, and you could then test every student in that group individually, resulting in a total of 11 tests for that group. If each person has the antibodies with probability .1, independently of each other,

find: (a) The maximum number of tests you may need to perform.

(b) The expected number of tests you’ll perform.

(c) Explain in words whether you would raise or lower the group sizes when the antibody probability is close to 0 or 1.

a). Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 79 students shows that 35 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance.

What is the value of the sample test statistic? (Round your answer to two decimal places.)____?

b). A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of six cups of coffee from this machine show the average content to be 7.3 ounces with a standard deviation of 0.70 ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance.

What is the value of the sample test statistic? (Round your answer to three decimal places.) ___________?

T-TEST (show work) ( no hand written work it is hard to read)

A researcher wishes to determine if the college students with a “B” average have attain more flying hours by the end of their first semester of college than those that do not have a “B” average at the end of the first semester. The researcher surveys 20 college students that are also student pilots and records their flight hours as well as their GPA (noted as “below B” and “B or better”), and, fortunately, there is an equal number “below B” and “B or better.” The expectation is that those students with a B average or better will have more flying hours by the end of their first semester than those students that are below a “B” average. Here are the survey results:

Conduct a t test using the five-step hypothesis testing process

A professor states that in the United States the proportion of college students who own iPhones is .66. She then splits the class into two groups: Group 1 with students whose last name begins with A-K and Group 2 with students whose last name begins with L-Z. She then asks each group to count how many in that group own iPhones and to calculate the group proportion of iPhone ownership. For Group 1 the proportion is p1 and for Group 2 the proportion is p2. To calculate the proportion you take the number of iPhone owners and divide by the total number of students in the group. You will get a number between 0 and 1. What would you expect p1 and p2 to be? Do you expect either of these proportions to be vastly different from the population proportion of .66? Would you be surprised if p1 was different than p2? Would you be surprised if they were the same or similar? What statistical concept describes the relationship between the first letter of someone's last name and whether or not they own an iPhone?