(Three parts; 9 marks in total) An introductory Statistics instructor wished to
ID: 3044879 • Letter: #
Question
(Three parts; 9 marks in total) An introductory Statistics instructor wished to determine whether there was a difference in lab marks between lab sections. The variable being explored is the mark on lab 1 were 12 lab sections and 5 graders. Suppose each lab section has 25 students. The graders and the number of lab sections they marked are summarized below: 3. . There Grader Number of Lab Sections Parameters (subscript is the lab section number) 11, 12 For each question below, do NOT show all steps a hypothesis test (since there is no data presented). Instead, do the following: clearly define the most appropriate test procedure, state the null and alternative hypotheses in terms of the parameters above, and calculate the degrees of freedom. There is a single appropriate test for each part. Assume all the required assumptions are satisfied. a) (3 marks) Are there any differences in mean lab marks for the 12 lab sections? b) (3 marks) Do any of the graders have different mean lab marks between their corresponding lab sections? c) (3 marks) Suppose there are three lecture sections, where each lecture section has four lab sections. Suppose lab sections 1-4 are for lecture Q1, lab sections 5-8 are for lecture R1, and lab sections 9-12 are for lecture S1. Do any of the lecture sections have different mean lab marks between their corresponding lab sections? 4. (Five parts: 18 marks in totall A studyExplanation / Answer
a) yes there are differences in the mean lab marks for the 12 lab sections because all the lab sections contain an equal number of students but the grader of all the students of all the 12 lab sections is not same and they are different.
since mean lab marks for any section=(sum of grades of all the students in that sections/total number of students in that lab section).
b)No, none of the graders have different mean lab marks between their corresponding lab sections because the number of students in each lab section is 25 and also all the corresponding lab section belonging to the same graders will have their sum of the grade equal.so, it can't be different.
since mean lab marks for any section=(sum of grades of all the students in that sections/total number of students in that lab section).
c)No, none of the lecture sections have different mean lab marks between their corresponding lab sections because each lecture section containing the corresponding lab section will have the same grader and number of students in each lab section is also same and each lecture section contains an equal number of lab sections.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.