thought that too much water aids the spread of the pathogen. Two fields are under study. The first step in the research project is to compare the mean soil water content for the two fields. Units are percent water by volume of soil. Field A samples, x1: 10.0 10.5 15.5 10.6 9.9 10.0 16.6 15.1 15.2 13.8 14.1 11.4 11.5 11.0 Field B samples, x2: 8.3 8.7 8.4 7.3 8.0 7.1 13.9 12.2 13.4 11.3 12.6 12.6 12.7 12.4 11.3 12.5 Assuming the distribution of soil water content in each field is mound-shaped and symmetric, use a 5% level of significance to test the claim that field A has, on average, a higher soil water content than field B. What is the value of the sample test statistic? (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.)
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.
thought that too much water aids the spread of the pathogen. Two fields are under study. The first step in the research project is to compare the mean soil water content for the two fields. Units are percent water by volume of soil.
| 10.0 | 10.5 | 15.5 | 10.6 | 9.9 | 10.0 | 16.6 |
| 15.1 | 15.2 | 13.8 | 14.1 | 11.4 | 11.5 | 11.0 |
| 8.3 | 8.7 | 8.4 | 7.3 | 8.0 | 7.1 | 13.9 | 12.2 |
| 13.4 | 11.3 | 12.6 | 12.6 | 12.7 | 12.4 | 11.3 | 12.5 |
Assuming the distribution of soil water content in each field is mound-shaped and symmetric, use a 5% level of significance to test the claim that field A has, on average, a higher soil water content than field B.
What is the value of the sample test statistic? (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.)
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