Suppose that a lecturer gives a 10-point quiz to a class of five students. The results of the quiz are 3, 1, 5, 9, and 7. For simplicity, assume that the five students are the population. Assume that all samples of size 2 are taken with replacement and the mean of each sample is found.

Questions:

1. Calculate the population mean and standard deviation
2. Suppose that you obtain at least 20 random samples of size 2. From data obtained by you, find a frequency distribution of sample means and draw a graph (namely, histogram) of the sample means.
3. Confirm whether your histogram appears to be approximately normal.
4. Calculate the mean of sample means and standard deviation of sample means.

Economics: Supply and Demand

USF issues parking permits to allow students to park on campus. The price of the permit is set by college administrators at their discretion, they do not consider market conditions. At the current price, some students complain that there aren’t enough spaces for them to park.

A) Describe this situation in economic terms and describe what this implies about the market equilibrium and the price of a parking permit.

B) Should the price of a parking permit be raised or lowered to fix this problem? Why? Explain.

C) Use the supply and demand model to describe how a graph of the market for parking permits would be affected by a change in price. You must include a graph and describe the graph.

PLEASE HELP !

Vitamin C is becoming an issue. A researcher thinks that high school students are getting enough. The researcher does a study of many local schools. The table shows the number of student who got the daily, recommended allowance of vitamin C. Can you conclude that the numbers of students who got the daily, recommended allowance of vitamin C is the same for all grades? Test the claim at the level of significance of .05.

Are the educational aspirations of students related to family income? This question was investigated in the article “Aspirations and Expectations of High School Youth” (Int. J. of Comp. Soc. (1975): 25). The accompanying 4 X 3 table resulted from classifying 273 students according to expected level of education and family income. Does the data indicate that education aspirations and family income are not independent? Conduct hypothesis test using = .05. Income Aspired Level Low Middle High Some High School 9 11 9 High School Graduate 44 52 41 Some College 13 23 12 College Graduate 10 22 27

Professor Smith would like to see if giving the students chocolate made a difference in their levels of happiness. The students were asked to rate how happy they felt on a 1(not happy at all) to 10(the happiest they have ever been) level before they were given chocolate and after. Please use the following data for questions a-d.

1. 1. Calculate the t value
2. 2. What are the critical values at the .05 and .01 significance levels?
3. 3. What is the interpretation of the obtained value at .05 and .01 levels of significance?
   4. Write up the results at p = .05 in APA format.

1) The distribution of 800 test scores in an introduction to criminal justice course had a mean of 35 and a standard deviation of 6.

1. What proportion of the students had scores between 30 and 40?
2. Would you expect to find the same proportion of students between scores of 20 and 30? If so, why? If not, why?

2) Find the proportion of the area under the normal distribution that lies

1. below Z = .50
2. above Z = .50
3. below Z = -1.50
4. above Z = 1.50
5. below Z = 2.25
6. below Z = 1.64
7. between Z = .25 and Z = .75
8. Between Z = 0 and Z = 1.75
9. Between Z = -1.96 and Z = 1.96

1) Babcock and Marks (2010) reviewed survey data from 2003–2005, and obtained an average of μ = 14 per week spent studying by full-time students at four-year colleges in the United States. To determine whether this average has changed in recent years, a researcher selected a sample of n = 64 of today’s college students and obtained an average of M = 12.5 hours . If the standard deviation for the distribution is σ = 4.8 per week, does this sample indicate a significant change in the number of hours spent studying? Use a two-tailed test with α = .05. Report Cohen’s d to indicate the size of the effect if necessary. Step 1,2,3,4,5,6

1) Babcock and Marks (2010) reviewed survey data from 2003–2005, and obtained an average of μ = 14 per week spent studying by full-time students at four-year colleges in the United States. To determine whether this average has changed in recent years, a researcher selected a sample of n = 64 of today’s college students and obtained an average of M = 12.5 hours . If the standard deviation for the distribution is σ = 4.8 per week, does this sample indicate a significant change in the number of hours spent studying? Use a two-tailed test with α = .05. Report Cohen’s d to indicate the size of the effect if necessary. Step 1,2,3,4,5,6

A survey conducted at Chicago Public Schools (CPS) involving high school students on whether they had participated in binged drinking during the past month. Binge drinking was defined as 5 or more drinks in a row on one or more of the past 30 days.

a. From the sample data is there evidence that the proportion of students who participate in binge drinking is greater than 10%? Write a null and alternative hypothesis and perform an appropriate significance test using

b. Construct a 90% Confidence Interval for the population proportion. Does it support the same conclusion as in part a? Explain.