SPSS Individual SPSS Assignment

Z – Scores and Normal Distribution

1. (10 points) Please choose one variable from your student survey, different from that selected in your Collaborative SPSS Assignment (not about careers or majors). What research question could be answered with that question? Use SPSS to convert the scores to z-scores, create a frequency table and a graph, calculate the mean, mode, median, variance, range, and standard deviation, for both the raw scores and z scores of the selected variable.

Explain your output in your narrative description of the data including the following:

• Present and Explain Measures of Central Tendency including the Mean, Mode, and Median. Beyond the numbers, what do these things mean based on the variable? (What patterns do you see in the data based on the distribution?) Given the data, which measure is best to report and what conclusions can you draw for the research question and variable presented?

• Present and Explain Measures of Variability including Range, Variance, and Standard Deviation. Beyond the numbers what do these things mean based on the variable? What is the dispersion of the data? How much do the data cluster together or are spread apart? Given the data what conclusions can you draw for the research question and variable presented?

• Are their outliers: In terms of Z-scores how do we define outliers? If outliers are present, how does that affect the mean and influence what measure of central tendency you should use?

• Z-scores – What are the mean and standard deviations for the Z-scores? Based on the Z-Scores, what scores are outliers? Based on the mode for the Z-Scores, what is the most common standard deviation from the mean within the distribution? What does that mean in terms of the data?

• Is there any other striking information that stands out and should be addressed?

2. (10 Points) Using the response data from your student survey, create Z-Scores for Anxiety Levels. Use SPSS to convert the scores to z-scores, create frequency tables, calculate the mean, mode, and standard deviation, for both the raw scores and z scores of each selected variable.

Explain your output in your narrative description of the data including the following:

• Present and Explain Measures of Central Tendency including the Mean, Mode, and Median. Beyond the numbers, what do these things mean based on the variable? (What patterns do you see in the data based on the distribution?) Given the data, which measure is best to report and what conclusions can you draw for the research question and variable presented?

• Present and Explain Measures of Variability including Range, Variance, and Standard Deviation. Beyond the numbers what do these things mean based on the variable? What is the dispersion of the data? How much do the data cluster together or are spread apart? Given the data what conclusions can you draw for the research question and variable presented?

• Are their outliers: In terms of Z-scores how do we define outliers? If outliers are present, how does that affect the mean and influence what measure of central tendency you should use?

• Z-scores – What are the mean and standard deviations for the Z-scores? Based on the Z-Scores, what scores are outliers? Based on the mode for the Z-Scores, what is the most common standard deviation from the mean within the distribution? What does that mean in terms of the data?

• Is there any other striking information that stands out and should be addressed?

3. (15 Points) Please use the data on AGE in the student survey to run a hypothesis test comparing your individual age to the rest of the sample based on all the data points for AGE included in the student survey. Outline each of the steps of the hypothesis test, and write up a results section in APA format consistent with the template provided.

4. (15 Points) Assuming an average student population mean of 7 for ANXIETY, and a standard deviation of 5, assuming α = .05, conduct a two tailed hypothesis test comparing the data from the student survey on our sample of students to the general population. Outline each of the steps of the hypothesis test, and write up a results section in APA format consistent with the template provided.

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