A large university claims that the average cost of housing within 5 miles of the campus is $ 8900 per school year. A high school student is preparing her budget for her freshman year at the university. She is concerned that the university‘s estimate is too low. She obtains a random sample of 81 records and computes the average cost is $ 9050. Based on earlier data, the population standard deviation is $ 760. Use α=0.01 level of significance.

a) Step 1: State the null and alternative hypotheses.

b) Step 2: Write down the appropriate test statistic and the rejection region of your test (report zcritical(s))

c) Step 3: Compute the value of the test statistic (z observed)

d) Step 4: State your conclusion (in one sentence, state whether or not the test rejects the null hypothesis and in another sentence apply the results to the problem).

e) Compute the p- value for this test. Is the evidence strong or weak in supporting the alternative hypothesis?

For decades, researchers have studied the relationship between violent media and violent behavior, with some studies finding a relationship, and others not. The following are data from a small study of teenagers that investigates the relationship between playing violent video games and fighting at school.

Use the above data to construct a scatterplot. Additionally, interpret the scatterplot.

In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 25 scores from all of the students who took the test. She sees that the mean score is 139 with a standard deviation of 16.5865. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 29. Is there evidence that the standard deviation of test scores has decreased at the α=0.025

level? Assume the population is normally distributed.

Step 1 of 5:

State the null and alternative hypotheses. Round to four decimal places when necessary.

Step 2 of 5:

Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.

Step 3 of 5:

Determine the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5:

Make the decision. Reject or fail to reject

1. Using the information below, predict the entrance score exam (PT school) from Baccalaureate GPA for a person with a GPA of 2.9.  

GPA Entrance Exam Score

Mean 2.85 300

SD 0.42 50

Group of answer choices

305.95

324.31

350

need more information

2. What statistic would you use to determine the strength of the relationship between the rankings of school size and tournament rank for a sports team?

Phi

Cramer's V

Pearson Product Moment Correlation

Kendall's Tau

Point Biserial Correlation

3. When constructing a written exam for assessment in the cognitive domain, the first step is to  

a.) define what you want to measure

b.) decide which item format to employ

c. make a list of content areas to be included

4. If 47% of a group missed an item on a multiple-choice test, what would the difficulty index be?

a.) depends on the standard deviation

b.) .47

c. depends on the mean

d.) .53

Question 1: We want to estimate the mean change in score µ in the population of all high school seniors. An SRS of 450 high school seniors gained an average of  x⎯⎯⎯x¯ = 21 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation 52.201.

Find σx¯, the standard deviation of the mean change x¯ _______ (±±0.001).

Using the 68-95-99.7 Rule (Empirical Rule), give a 95% confidence interval for μμ based on this sample.

Confidence interval (±±0.001) is between _____ and _______.

Question 3: We have the survey data on the body mass index (BMI) of 670 young women. The mean BMI in the sample was x¯=25.3. We treated these data as an SRS from a Normally distributed population with a standard deviation σ=7.8.

Give confidence intervals for the mean BMI and the margins of error for 90%, 95%, and 99% confidence.

3) An academic advisor at a university was studying student class attendance and would like to know if class attendance depends on school. a) State the Hypothesis to show class attendance depends on school. b) Choose a level of significance Use a = 0.05 for this problem. c) To test the hypothesis, the advisor obtained attendance records for 23 students (6 from engineering, 9 from business, and 8 from arts and sciences) for the fall term. The advisor determines the total number of lectures missed by each student. The data appear in the Absence worksheet in the HW4 data workbook on Moodle. d) Draw a conclusion and report that in the context of the problem. e) Use Fisher’s LSD Test with a= 0.05 to determine which schools’ students have significantly differently absence rates.

data:

Twenty-eight kindergarten children and seven adults visited a raw milk bottling plant, where they were given ice cream and unpasteurized milk. Three to six days later, nine children and three adults developed gastroenteritis. The only other foods eaten by all of the children (ill and well) were in the school-provided lunches. No one else in the school became sick. Stool cultures showed one bacterium in common to nine of the ill children and not present in samples from any of the other children. This bacterium is a curved gramnegative rod, and it is unable to metabolize glucose.

1. What microorganism is responsible for causing the gastroenteritis? Are there any risk factors or complications associated with this illness?

2. Why is this microorganism the most likely cause?

3. What patient history or other symptoms should you look for or ask about during the patient exam?

4. What medical tests are required to diagnose this disease?

5. What would be your prescribed treatment regimen?

Generally, schools in the United States are organized around four goals: Academic, Civic, Personal, and Vocational. The academic goals are the knowledge and curriculum that we expect students to learn in school (English, math, science, etc). With the civic goals we want our students to learn about the American system of government and to learn the skills and attitudes to become informed citizens (courses such as American government, social studies, political science). The personal goals help our students with issues such as development of personal talents (think music, drama, athletics, etc.), life skills (maintaining a bank account, economics, consumer information) and health (PE, health classes, biology). In the vocational goals, students learn skills and knowledge which will make them productive in the workplace; able to leave school and to participate in the job market.

Question: Based on this information, which goal or goals do you think are most important for our schools. Which goals should American schools concentrate on? Explain your answers.

Write a computer program that stores and tracks information about high school students. The first piece of information is what grade the student is in. Since this is for high school, the available values are 9, 10, 11, and 12. We also want to track the student’s GPA. Examples of GPAs are 2.2, 2.6, and 4.0. Finally, we want to track the letter grade that the student got on his or her final exam. These values are A, B, C, D, and F. Using the programming language(s) that you select, write a program that creates variables to store these values. Devise with good names for these variables. In addition to creating the variables, set the values as follows: Grade 9 GPA 3.5 Final grade B When finished, your program should run without errors. It won’t do anything, because we have not included anything to be printed on the screen. So, when you run the program it should just terminate without errors. I am running on windows and already have Java installed

Identify the type of scale being used in each of the following questions (nominal, ordinal, interval or ratio). Do you agree with the analysis used in each case? If no, please explain why.

1) During which season were you born?

? Winter ? Spring ? Summer ? Fall

Analysis: Winter was shown to be the most popular month with an average of 52.8.

2) Which of the following courses have you taken in the MBA program?

? MKT 501 ? ACT 504 ? FIN 507 ? OIM 509

Analysis: MKT 501 was the most frequently taken course with because the median is 9.4.

3) How satisfied are you with Time magazine?

? mostly satisfied ? somewhat satisfied ? not too satisfied ? not satisfied

Analysis: The average satisfaction score is 4.5 which seems to indicate a high level of satisfaction with Time magazine.

4) What is your total household income? _____

Analysis: The average income is $70,000.

5) What is the level of education for the head of the household?

? High school graduate ? Some college ? College graduate ? Postgraduate

Analysis: The responses indicated that 30 percent of the samples have some high school education, 25 percent are high school graduates, and 15 percent have some college education, while 10 percent are college graduates or postgraduates. The mean education level is 3.4.

6) On an average, how cups of coffee do you drink in a day?

? 0 to 1/2 cup ? 1/2 cup to 1 cup ? 1 cup to 2 cups ? 2 cups to 3 cups

Analysis: Twenty percent of the respondents drink less than 1/2 a cup of coffee a day, whereas three times as many drink more than 1 cup a day.