Calculate the p value.
Explanation of Solution
Null hypothesis (H0) is
The calculated correlation coefficient (Table
Table 1 shows the sum of different values.
Table 1
Experience | a | Rating | b | |||
1 | 1.5 | 1 | 2 | 2.25 | 4 | 3 |
17 | 13 | 4 | 16 | 169 | 256 | 208 |
20 | 17 | 4 | 16 | 289 | 256 | 272 |
9 | 6.5 | 55 | 21.5 | 42.25 | 462.25 | 139.75 |
2 | 3 | 2 | 6 | 9 | 36 | 18 |
13 | 11 | 4 | 16 | 121 | 256 | 176 |
9 | 6.5 | 3 | 11 | 42.25 | 121 | 71.5 |
23 | 23 | 5 | 21.5 | 529 | 462.25 | 494.5 |
7 | 4 | 2 | 6 | 16 | 36 | 24 |
10 | 8 | 5 | 21.5 | 64 | 462.25 | 172 |
12 | 10 | 5 | 21.5 | 100 | 462.25 | 215 |
24 | 24 | 2 | 6 | 576 | 36 | 144 |
8 | 5 | 2 | 6 | 25 | 36 | 30 |
20 | 17 | 5 | 21.5 | 289 | 462.25 | 365.5 |
21 | 20 | 3 | 11 | 400 | 121 | 220 |
19 | 15 | 2 | 6 | 225 | 36 | 90 |
1 | 1.5 | 1 | 2 | 2.25 | 4 | 3 |
22 | 22 | 3 | 11 | 484 | 121 | 242 |
20 | 17 | 4 | 16 | 289 | 256 | 272 |
11 | 9 | 3 | 11 | 81 | 121 | 99 |
18 | 14 | 5 | 21.5 | 196 | 462.25 | 301 |
14 | 12 | 4 | 16 | 144 | 256 | 192 |
21 | 20 | 3 | 11 | 400 | 121 | 220 |
21 | 20 | 1 | 2 | 400 | 4 | 40 |
Total | 300 | 300 | 4,895 | 4,850.5 | 4,012.25 |
Standard deviation
Standard deviation is 11.4.
Standard deviation of ‘a’
Standard deviation is 7.056.
Standard deviation of ‘b’ can be calculated as follows.
Standard deviation is6.917.
The correlation coefficient
The correlation coefficient is 0.2336. Since the calculated correlation coefficient is less than the table value, the alternate hypothesis is not accepted.
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Chapter 19 Solutions
Statistics for Management and Economics (Book Only)
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