The examiner of a course in applied statistics is interested in improving assessment instru- ments used to test knowledge and skills in the course. One aspect of this is to investigate the relationship between the performance in the first assignment for the course with per- formance in the second assignment. Data collected on these variables from a random sample of 12 students is given below: Student Assignment 1 Mark Assignment 2 Mark 1 2 3 4 5 6 7 8 9 10 11 12 80 73 89 75 90 92 83 83 93 73 78 96 68 85 71 95 (a) Find the value of the Spearman's rank correlation coefficient, rg between the ranks Assignment 1 and Assignment 2 Marks.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The examiner of a course in applied statistics is interested in improving assessment instru-
ments used to test knowledge and skills in the course. One aspect of this is to investigate
the relationship between the performance in the first assignment for the course with per-
formance in the second assignment. Data collected on these variables from a random
sample of 12 students is given below:
Student Assignment 1 Mark Assignment 2 Mark
80
73
78
2
3
4
5
6
10
11
12
83
93
96
68
93
86
77
85
71
95
(a) Find the value of the Spearman's rank correlation coefficient, rg between the ranks
of Assignment 1 and Assignment 2 Marks.
(b) Test if there is a significant positive correlation between the ranks of Assignment 1
and Assignment 2 Marks.
Transcribed Image Text:The examiner of a course in applied statistics is interested in improving assessment instru- ments used to test knowledge and skills in the course. One aspect of this is to investigate the relationship between the performance in the first assignment for the course with per- formance in the second assignment. Data collected on these variables from a random sample of 12 students is given below: Student Assignment 1 Mark Assignment 2 Mark 80 73 78 2 3 4 5 6 10 11 12 83 93 96 68 93 86 77 85 71 95 (a) Find the value of the Spearman's rank correlation coefficient, rg between the ranks of Assignment 1 and Assignment 2 Marks. (b) Test if there is a significant positive correlation between the ranks of Assignment 1 and Assignment 2 Marks.
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