Using a 0.05 level of significance, test the claim that there is a monotone-increasing relation between rank in the training program and rank in performance on the job. (a) State the test used. (b) Give α. (c) Find the sample test statistic. (Use 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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At McDouglas Hamburger stands, each employee must undergo a training program before he or she is hired. A group of nine people went through the training program and were hired to work in the Teton Park McDouglas Hamburger stand. Rankings in performance after the training program and after one month on the job are shown (a rank of 1 is for best performance).

Employee 1 2 3 4 5 6 7 8 9
Rank, training program 6 7 3 9 2 5 4 1 8
Rank on job 8 4 1 5 3 7 6 2 9

Using a 0.05 level of significance, test the claim that there is a monotone-increasing relation between rank in the training program and rank in performance on the job.

(a) State the test used.
(b) Give α.
(c) Find the sample test statistic. (Use 3 decimal places.)
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