The performance of two analysts in determining total mercury (mg / kg) in fish was evaluated using the absorption spectrometry method. The results on the concentrations of mercury found in fish, for each analyst, are presented in the table below
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The performance of two analysts in determining total mercury (mg / kg) in fish was evaluated using the absorption spectrometry method. The results on the concentrations of mercury found in fish, for each analyst, are presented in the table below:
| Analyst 1 | Analyst 2 |
| 7 | 12 |
| 9 | 8 |
| 6 | 9 |
| 11 | 13 |
| 13 | 14 |
| 8 | 9 |
| 7 | 8 |
| 13 | 10 |
| 12 | 7 |
| 9 | 15 |
(a)Is the performance in determining total mercury for Analyst 1 more accurate than Analyst 2? Compare the accuracy in the results of the two analysts at a 95% confidence level. Explain.
(b)Are the results obtained by the two analysts, in the concentrations of mercury found in the fish, statistically equivalent, with 95% confidence? Explain
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