Statistics For Business And Economics, University Of Connecticut
18th Edition
ISBN: 9781323751497
Author: Mcclave/benson/sincich
Publisher: Pearson Education
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Textbook Question
Chapter 15.7, Problem 15.78ACI
Sweetness of orange juice Refer to the orange juice quality study, Exercise 11.260 (p. 632). Recall that a manufacturer that has developed a quantitative index of the “sweetness” of orange juice is investigating the relationship between the sweetness index and the amount of water-soluble pectin in the orange juice it produces. The data for 24 production runs at a juice manufacturing plant are reproduced in the next table
- a. Calculate
Spearman's rank correlation coefficient between the sweetness index and the amount of pectin. Interpret the result. - b. Conduct a nonparametric test to determine whether there is a negative association between the sweetness index and the amount of pectin. Use α= .01
Run | Sweetness Index | Pectin (ppm) |
1 | 5.2 | 220 |
2 | 5.5 | 227 |
3 | 6.0 | 259 |
4 | 5.9 | 210 |
5 | 5.8 | 224 |
6 | 6.0 | 215 |
7 | 5.8 | 231 |
8 | 5.6 | 268 |
9 | 5.6 | 239 |
10 | 5.9 | 212 |
11 | 5.4 | 410 |
12 | 5.6 | 256 |
13 | 5.8 | 306 |
14 | 5.5 | 259 |
15 | 5.3 | 284 |
16 | 5.3 | 383 |
17 | 5.7 | 271 |
18 | 5.5 | 264 |
19 | 5.7 | 227 |
20 | 5.3 | 263 |
21 | 5.9 | 232 |
22 | 5.8 | 220 |
23 | 5.8 | 246 |
24 | 5.9 | 241 |
Note: The data in the table are authentic. For confidentiality reasons, the manufacturer cannot be disclosed.
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Chapter 15 Solutions
Statistics For Business And Economics, University Of Connecticut
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