Question 5 - A-Level Maths

Exam Board	OCR
Module	S1 (Statistics 1)
Year	2012
Session	June
Topic	Hypothesis test of Spearman’s rank correlation coefficien

Write down the value of Spearman's rank correlation coefficent, \(r _ { s }\), for the following sets of ranks. All the discs are replaced in the bag. Tony now takes three discs from the bag at random without replacement.
Given that the first disc Tony takes is red, find the probability that the third disc Tony takes is also red.
[0pt] [2
Write down the value of Spearman's rank correlation coefficent, \(r _ { s }\), for the following sets of ranks.
(b)
Judge \(A\) ranks 1 2 3 4
Judge \(C\) ranks 4 3 2 1
(a)
(a)
Judge \(A\) ranks 1 2 3 4
Judge \(B\) ranks 1 2 3 4
Calculate the value of \(r _ { s }\) for the following ranks.
Judge \(A\) ranks 1 2 3 4
Judge \(D\) ranks 2 4 1 3
For each of parts (i)(a), (i)(b) and (ii), describe in everyday terms the relationship between the two judges’ opinions.

Judge \(A\) ranks	1	2	3	4
Judge \(C\) ranks	4	3	2	1

Judge \(A\) ranks	1	2	3	4
Judge \(B\) ranks	1	2	3	4

Judge \(A\) ranks	1	2	3	4
Judge \(D\) ranks	2	4	1	3