You are to gather a Simple Random Sample (SRS) of n = 27 professors from the population of 82. Describe, in detail, how you did this. List your sample on the next page.
SRS results: Age Evaluation Age Evaluation Age Evaluation Graphical Analysis 3)a)(4 pts) For the sample of Age data, construct an ordered Stem Plot. b) (6 pts) For the Age data, construct a Frequency table that has 5 classes. Include a column for Relative Frequency.Age Evaluation Age Evaluation 24 8 46 6 27 7 48 8 27 8 49 9 28 8 49 10 28 7 49 6 29 6 50 7 29 9 50 6 29 9 51 6 30 8 51 6 30 7 51 6 31 8 51 7 31 10 52 5 31 10 52 7 32 9 52 6 33 8 54 8 33 8 54 6 33 7 55 5 34 8 56 4 36 9 56 7 36 10 57 5 38 5 58 6 38 8 58 6 39 9 59 5 40 7 59 7 40 8 59 9 41 4 60 3 41 8 60 4 41 9 61 5 41 10 61 4 42 6 61 2 42 4 63 5 43 8 63 4 Ail. 7 m n This data represents the population of professors at a small community college in northwest Oregon. The professor's students were given a survev to rate the professors for the effectiveness of their teaching. The scale of effective teaching was 1-10 A score of 1 corresponded to Poor, 3 score of 5 was Average and a 10 corresponded to Excellent. The Evaluation score in the table reects the mean value of all student evaluations for that professor. The age of each of the professors was retrieved from their personnel files. c)(5 pts) Construct a histogram from your frequency table above. Describe the distribution of the data. dill! pts) To examine the correlation between Age and Student Evaluations, to the best of your ability (it does not have to be perfect) sketch a scatter plot of your sample data. Label the plot accordingly, and add a regression line. e)(3 pts) Estimate the correlation coefficient of your sample. Does the scatter plot reflect a strong or weak correlation? f)(3 pts) Some statistics software can calculate the equation of your regression line. We will not do this, but discuss the meaning of the slope in the equation of your regression line. 4} Conclusion Questions: and pts) What conclusions do you think the GU professors made from the study? b){4 pts) Provide a quick critique of the study: What do you think the researchers did well? What do you think they could have Improved upon? Measures of Center and Variation Use the easycalculationcom website {found in Canvas under Helpful Websites) to find the mean and standard deviation of your sample of Age values. 5 a)(4 pts) Mean = Standard Deviation = but\": pts) Determine if there are any statistically signicant ages in your sample data. Provide sufficient evidence to back your claim. 6)a)(4 pts) Find the z-score of the youngest professor in your sample, and the z-score of the oldest professor in your sample. Then explain which of the measurements falls further away from the sample mean. Youngest: Oldest: b)(5 pts) Reproduce your Stem-Plot here, then find the 5-number summary of your sample data of Ages of the professors. c) (4 pts) Construct a Box-plot from your 5-number summary and describe what the plot appears to be telling you
