Problem 1 Study: Context and sample: To examine the relationship between student evaluations and the age of their professors at Giants University (GU), researchers in the statistics department at GU conducted the following study: The researchers examined the 82 professors at GU and the evaluation scores they received from their students. Data: The researchers gave students a survey 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, a score of 5 was Average and a 10 corresponded to Excellent. The Evaluation score in the table reflects the mean value of all student evaluations for that professor. The age of each of the professors was retrieved from their personnel files. 1) Short Answer Questions\" pts each): a) What do you think is the purpose of the study? b} Is this an observational studv, or an experiment? Defend your answer. c) Determine the types of data that were collected, and the level of measurement of each: (i.e., QualNative/Quantitative, Discrete/Continuous, Nominal-Ordinal-Interval-Ratio) Student Evaluation: Professor Age: d} On a scale of 0 - 5, with 5 being highly reliable, rate the reliability of the collected student evaluation data. Defend your rating