MAT 130: Beginning Statistics

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Student Name

Allied American University

Author Note

This paper was prepared for [INSERT COURSE NAME], [INSERT COURSE ASSIGNMENT] taught by [INSERT INSTRUCTOR’S NAME].

PART I: SHORT RESPONSE

Directions: Please answer each of the following questions thoroughly.

1. What is one-way analysis of variance used for? What are the requirements for one-way analysis of variance?

2. What is two-way analysis of variance used for? What are the requirements for two-way analysis of variance?

3. What is the main difference between one-way analysis of variance and two-way analysis of variance?

4. In one-way analysis of variance tests, do larger test statistics result in larger P-values, smaller P-values, or P-values that are unrelated to the value of the test statistic?

5. What are the advantages and disadvantages of nonparametric tests?

6. Why is the sign test considered to be a "nonparametric" test of a "distribution-free" test?

7. Assume that matched pairs of data result in the given number of signs when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the null hypothesis of no difference.

a. Positive signs: 13; negative signs: 1; ties: 0 (from a preliminary test of the MicroSort method of gender selection)

b. Positive signs: 5; negative signs: 7; ties: 1 (from a class project testing for the difference between reported and measured heights of males)

8. In a study of fraternal twins of different genders, researchers measured the heights of each twin. The data show that for each matched pair, the height of the male is greater than the height of his twin sister. What is the value of T?

9. Listed below are the genders of the first 25 subjects listed in Data Set 3 in Appendix B. Use that sequence to identify the values of n1, n2, and G that would be used in the runs test for randomness. M M M M M M M M M M M M M M M M M M F F M F M M M

10. A New York Times article about the calculation of decimal places of noted that “mathematicians are pretty sure that the digits of are indistinguishable from any random sequence.” Given below are the first 30 decimal places of . Test for randomness of odd (O) and even (E) digits. 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9

PART II: PROJECT

For this Module 7 Homework Assignment, please submit your response to the following:

Document your progress. Who did you interview? How many people did you interview? If you collected data, please submit it below. If not, please explain what you did to contribute to this assignment this past week.

Directions: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.

Create a survey question to ask others. The following are examples or some survey questions:

1. Choose a random number between 1 and 10 inclusive.

2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.

3. How many keys are in your possession at this time?

4. How many siblings do you have?

In Module 1, you will submit your survey question to your instructor for approval. Once you are notified of its approval, you may begin conducting a survey using your question.

You will need at least 25 participants and will need to keep the following record for each person:

a. Gender

b. Age

c. Date surveyed

d. Survey response

Please also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:

In the Module 8 Homework Assignment, you will be asked to analyze your survey results, so please be sure to begin conducting your survey as soon as your question is approved. Try getting 5 participants a week to satisfy the required number of participants.