en new sales representatives for Clark Sprocket and Chain Inc. were required to attend a training program before being assigned to a regional sales office. At the end of the program, the representatives took a series of tests and the scores were ranked. For example, Arden had the lowest test score and is ranked 1; Arbuckle had the highest test score and is ranked 10. At the end of the first sales year, the representatives’ ranks based on test scores were paired with their first year sales. Ranking in Ranking in Annual Sales Training Annual Sales Training Representative ($ thousands) Program Representative ($ thousands) Program Kitchen 319 8 Arden 300 1 Bond 150 2 Crane 280 6 Gross 175 5 Arthur 200 9 Arbuckle 460 10 Keene 190 4 Greene 348 7 Knopf 300 3 a-2. Determine Spearman’s rank correlation coefficient. (Round your answer to 3 decimal places.) b-1. State the decision rule. Use the 0.05 significance level. (Round your answer to 3 decimal places.) b-2. Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Ten new sales representatives for Clark Sprocket and Chain Inc. were required to attend a training program before being assigned to a regional sales office. At the end of the program, the representatives took a series of tests and the scores were ranked. For example, Arden had the lowest test score and is ranked 1; Arbuckle had the highest test score and is ranked 10. At the end of the first sales year, the representatives’ ranks based on test scores were paired with their first year sales.
Ranking in | Ranking in | ||||||||||
Annual Sales | Training | Annual Sales | Training | ||||||||
Representative | ($ thousands) | Program | Representative | ($ thousands) | Program | ||||||
Kitchen | 319 | 8 | Arden | 300 | 1 | ||||||
Bond | 150 | 2 | Crane | 280 | 6 | ||||||
Gross | 175 | 5 | Arthur | 200 | 9 | ||||||
Arbuckle | 460 | 10 | Keene | 190 | 4 | ||||||
Greene | 348 | 7 | Knopf | 300 | 3 | ||||||
a-2. Determine
b-1. State the decision rule. Use the 0.05 significance level. (Round your answer to 3 decimal places.)
b-2. Compute the value of the test statistic. (Round your answer to 3 decimal places.)
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