2. Suppose you take a random sample of 81 adults, administer a driver safety test and obtain the following results:

Mean 65.2

Std deviation 6.3

Sample size (n) 81

Std. Error ???

Assume you know nothing about the population mean or distribution characteristics of driver safety scores. Calculate the standard error for this sample. Create a 95.5% confidence interval (that is 2 standard errors) for the mean score of the population. Interpret this confidence interval. What theorem forms the theoretical basis of the confidence interval you generated?

3. Suppose that after completing problem #2 you wonder if the population average meets

the national standard of 67 for the exam.

1. Using the sample results from 2, test the hypothesis that the mean score is 67. Write out your null (H0) and alternative (H1) hypotheses. Which hypothesis do you support? Why?
2. Assume you find by repeating the sampling process that the true mean score on the exam is 65 and that the standard deviation is 4. Further, you find that the data is approximately normally distributed. Generate a range that represents the middle 68% and 95% of scores

4. Assume that you have collected data on student scores on a standardized test. These students were randomly assigned to one of two classes. Different teaching methods were used in the two classrooms. You wonder if there is a significant difference between the two classes. There are two statistical methods covered in class that could be used to solve this problem – what are they? Choose one of the two methods, state the hypotheses (H0 and H1), show SPSS results and explain which hypothesis to support (and why).

Class 1 Class 2

12.8 11.1

11.0 10.1

11.7 11.1

11.2 12.2

12.1 10.1

11.0 11.1

13.0 12.1

12.5 11.2

5. Assume that you have collected data on the number of applicants for a college and the fall enrollment of the college. The admissions director believes that he can predict how many folks will register in the fall by looking at how many applied. Use SPSS to determine if there is such a relationship? If so, how strong is the relationship? Can you provide the director with a formula that he can use to make predictions? Assume that 1410 apply in 1999. How many do you predict will enroll in the fall?

Year Applications Enrollment

91 1230 640

92 1500 809

93 1370 713

94 2000 888

95 1735 835

96 1500 770

97 1300 685

98 1100 570

99 1410 ???

6. Choose exactly two of the following four scenarios. For each selected part identify a suitable statistical procedure from among those covered in class. Why did you select this procedure?

1. May has collected attitudinal data (using a 1-5 Likert scale) about a group of workers and their feelings towards work. Respondents are asked eight questions (such "I like my coworkers", "I am challenged by my job", etc.) and are given 1 to 5 scales to respond ("Strongly disagree" to "Strongly agree"). May wonders which items are highly correlated with each other.
2. Larry has collected data about attendance at the annual homecoming football game. In particular, he believes that the warmer the day, the higher the attendance.
3. Randy is studying medical treatments for cancer. In particular he has tried various doses of a medicine on patients and is measuring the size of their tumors.
4. Mary is studying the relationship between race and marital status. She knows the race of each study participant and their marital status. She wonders if marital status is independent of race.

7. Choose any one of the following four statistical techniques. For your selected technique, create an original final exam problem, including any required data, that could be used to test BUS678 students' knowledge. Be sure that the problem you create is truly original - do not copy a problem from a textbook or other source. Solve the problem using SPSS and send select portions of your SPSS output.

1. ANOVA
2. Regression
3. Correlation
4. Chi-square

For the last 15 years, we have the following information:

Find \(\beta \).

Price: $20.36

Solution: The downloadable solution consists of 8 pages, 1236 words and 7 charts.
Deliverable: Word Document