The performance of students at a local community was recorded and categorized based on stud faculty. The gathered data was then analyzed by a statistician and the results obtained using MINITAB are shown below: Expected counts are printed below observed counts High Low Total Average 30 (29.24) Science 12 52 94 (15.67) (49.09) Humanities 14 20 30 ** (10.67) (19.91) (33.42) Law 4 6 12 22 (*) (6.84) (11.49) Total 30 56 94 180 Chi-sq = 0.858 + 0.020 + *** + 1.042 0.000 + 0.350 + 0.030 + 0.104 + 0.023 =2.600

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Find the missing values ‘*’, ‘**’, ‘***’, Showing necessary working

The performance of students at a local community was recorded and categorized based on students' faculty. The gathered data was then analyzed by a statistician, and the results obtained using MINITAB are shown below:

| Faculty     | Low | Average | High | Total |
|-------------|-----|---------|------|-------|
| Science     | 12  | 30      | 52   | 94    |
|             | (15.67) | (29.24) | (49.09) |       |
| Humanities  | 14  | 20      | 30   | **    |
|             | (10.67) | (19.91) | (33.42) |       |
| Law         | 4   | 6       | 12   | 22    |
|             | (*) | (6.84)  | (11.49) |       |
| Total       | 30  | 56      | 94   | 180   |

- Expected counts are printed below observed counts.

Chi-square calculation:
- Chi-sq = 0.858 + 0.020 + *** +
- 1.042 + 0.000 + 0.350 +
- 0.030 + 0.104 + 0.023 = 2.600

This table presents observed and expected counts of students in different faculties (Science, Humanities, Law) across performance categories (Low, Average, High). The chi-square statistic indicates how well the observed data fit the expected distribution.
Transcribed Image Text:The performance of students at a local community was recorded and categorized based on students' faculty. The gathered data was then analyzed by a statistician, and the results obtained using MINITAB are shown below: | Faculty | Low | Average | High | Total | |-------------|-----|---------|------|-------| | Science | 12 | 30 | 52 | 94 | | | (15.67) | (29.24) | (49.09) | | | Humanities | 14 | 20 | 30 | ** | | | (10.67) | (19.91) | (33.42) | | | Law | 4 | 6 | 12 | 22 | | | (*) | (6.84) | (11.49) | | | Total | 30 | 56 | 94 | 180 | - Expected counts are printed below observed counts. Chi-square calculation: - Chi-sq = 0.858 + 0.020 + *** + - 1.042 + 0.000 + 0.350 + - 0.030 + 0.104 + 0.023 = 2.600 This table presents observed and expected counts of students in different faculties (Science, Humanities, Law) across performance categories (Low, Average, High). The chi-square statistic indicates how well the observed data fit the expected distribution.
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