Part 1: Hypothesis testing

1. For each of the following scenarios, submit the following information:

1. The populations that are being compared
2. The null hypothesis (both in words and notation)
3. The research or alternative hypothesis (both in words and notation)
4. Indicate why you would use either a one-tailed or two-tailed hypothesis test.

Scenario 1: Do people in Winnipeg make less money than people living in the rest of Canada?

Scenario 2: Do University of Manitoba students enrolled in Distance Education have different GPAs than students enrolled in regular programs?

Scenario 3: Do comedians laugh more than the general population?

2. Below is a table with the results from three different studies that are all normally distributed and have a sample size of one. For each study determine and show on a sketch of the comparison distribution the following:

1. The z-score critical value(s)
2. The \(z\) -score for each sample score

Once \(\mathrm{a}\) and \(\mathrm{b}\) are complete, determine your conclusion for each study. Be careful with your wording.

3. You have just read an interesting article titled, "High School Students' Perceptions of Their Peers." In the article the researchers asked 2500 Canadian high school students various questions relating to their perceptions of other students. The average perception of student cool, on a coolness scale from 1 (not cool) to 10 (extremely cool), was 5 with a standard deviation of 1 and normally distributed. You have a theory that high school students who regularly skateboard to school will be perceived as cooler than students in the general population. You survey 10 students regarding their perceptions of skateboarder coolness using the same scale as the researchers in the article. You results are tabled below:

From the information given above, carry out the 5 -steps of hypothesis testing outlined in chapter 6 of your text and/or study notes for unit 4 . Note: Be sure to end with a conclusion regarding your retention or rejection of the null hypothesis.

Part 2: T-tests

For the remaining parts of this assignment you will be required to show me how creative you are by developing and analyzing your own fictitious data sets. Please read each question carefully and label and submit all the appropriate SPSS materials required. Please realize that if you fail to provide all the necessary SPSS information it will be extremely difficult for me to evaluate your answers.

Here are a few things that I'll be looking for when I am evaluating you answers:

1. An original research idea. In other words, please provide me with the following:

1. A brief introduction, theory, and research question pertaining to your research idea. By brief I mean not more than 10-12 sentences!
2. A brief description of the method you intend to use. Remember, your method will need to match the statistical test the question asks for.
3. A list of all independent and dependent variables.
4. Generate null and research hypotheses.

2. Your data. That is, please print out your SPSS data (e.g., the participants and their fictitious scores).

3. Be sure that you appropriately label all of SPSS variables. If you do not, then I will not be able to evaluate your SPSS output effectively.

4. Production and understanding of relevant SPSS output. In other words, you should produce all the SPSS outputs that help you make sense of your data, Explain, in your own words, what the SPSS output actually means. Some things that come immediately to mind include:

1. Production and explanation of graphs when appropriate
2. Production and explanation of checks for violations of statistical assumptions of understanding, when SPSS produces a table, of what each column and row actually means (e.g., df, \(\mathrm{t}, \mathrm{F}\), etc.).

5. Draw an accurate conclusion based on your SPSS output.

Here are your three questions:

1. Generate a research scenario where you create a data set of 30 participants, and use a t-test for a single-sample to analyze the data. The mean population value that you need to use is 18 .
2. Generate a repeated measures research scenario where you create a data set of 40 participants. Use the appropriate t-test to analyze your findings.
3. Generate a research scenario of 46 participants that should be analyzed using a t-test for independent means. The data set you create must meet all the assumptions of the t-test for independent means (i.e., you need to show me the assumptions have been met) and the result must be non-significant.

Part 3: ANOVA

1. Generate a research scenario of 40 participants where a one-way ANOVA needs to be employed. Your data must produce a significant overall result, and there should be at least three significant post-hoc test results.
2. Generate a factorial research scenario of 40 participants. Your result must be significant. Be sure to produce all cell and marginal means and explain all interactions and main effects.
   Part 4: Nonparametric test

1. Generate a research scenario of 30 participants where a chi-square test for goodness of fit must be used.
2. Generate a research scenario of 30 participants where a chi-square test for independence must be used.
3. Generate a research scenario of 30 participants where a Mann-Whitney $U$ test needs to be used.

Price: $42.72

Solution: The downloadable solution consists of 21 pages, 2172 words and 25 charts.
Deliverable: Word Document