# Project #31013 - Statistics

Project One

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 were given the attached “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.

 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

1.    Look at the questionnaire and 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.

 Subject Mathematics Due By (Pacific Time) ma17
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