# PSY-520 Module 5 Statistics Project One

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PSY-520 Module 5 Statistics Project One

Graduate Statistics - Confidence Intervals, Hypothesis Testing, Effect Size, and Statistical Power

GCU

Review the following calculations in the "Statistics Visual Learner" media piece: Frequency Distribution, Measure of Center, mean, median and mode, the "Variation" videos, including: Range and Standard deviation, Coefficient of Variance and Variance, Linear Correlation and the three "Regression" videos.

Access "Statistics Project One" Worksheet.

Complete "Statistics Project One" worksheet according to instructor directions.

**Project One **

**Traditional College Student Stress Scale **

The life of a college student can be stressful. To gain an understanding of the stress level of college students a study was conducted. A random sample of 100 undergraduate college students attending a University on ground was given the “Traditional College Student Stress Scale.” They were not asked to return the form but only to anonymously submit the total score along with their age.

*While it is not necessary to answer the questions below, you can access the Stress Scale questions in the “A Life Stress Instrument of Classroom Use” article, page 47.

Student Scores Age

1299 21

1530 25

1449 18

1316 19

1613 19

1651 22

262 24

1258 23

829 25

718 21

1146 22

393 24

2279 18

1275 22

1093 22

543 23

2509 18

2144 25

1763 24

2179 22

1480 18

2233 18

1641 24

2407 18

2293 19

2218 19

529 21

1243 19

801 22

997 20

1892 21

2224 22

2056 21

2098 20

1428 24

2047 25

618 23

1774 22

2215 23

2432 21

196 22

1767 21

2149 19

914 21

1808 23

2423 22

1662 19

1795 22

312 21

949 23

854 23

2132 19

383 22

231 21

1897 18

2559 24

2106 18

1615 22

1438 23

1177 21

2358 24

1261 20

826 23

948 25

1343 25

1205 24

1990 23

447 21

547 18

1612 18

1324 24

1616 18

711 18

809 24

579 22

2275 24

1710 22

776 25

1859 19

824 19

2329 21

871 18

1377 25

651 18

997 22

1464 18

861 24

698 22

1367 23

1355 22

1931 18

2091 22

554 25

209 22

525 22

1908 21

536 22

1098 19

294 25

942 23

Answer the following questions

1. Look at the manner in which the data was collected and identify any potential problems with using this as an evaluation tool.

2. Find the Mean stress level of the sample.

3. Find the Median stress level of the sample

4. Find the Mode of the stress level for the students

5. Find the Standard Deviation of the stress level for the random sample of 100 students.

6. Find the Variance of the stress level for the random sample of 100 students.

7. Find the Range of the stress level of the 100 students.

8. Create a Frequency Table for the stress level from the 100 college students. (Include classes, frequency, relative frequency, and cumulative frequency)

9. Using the Frequency table, create a Histogram of the stress levels from the sample of 100 college students.

10. Discuss the distribution of the data based on the histogram

11. Make a Scatter Plot of age vs. stress level. Do you see a trend?

12. Is there a linear correlation between the age of the student and the stress level? (Hint: Pearson’s Correlation Coefficient) Show your calculations.

13. Find the Least Squares Regression Line to fit the data displayed in the scatter plot from problem 11.

14. Use the Least Square Regression line to find the stress level of a 25-year-old undergraduate.

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