A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Carpeted: 15.9; 8.7; 14.1; 14.3; 6; 10.3; 13.9; 13.7
Uncarpeted: 6.9; 5.7; 5.1; 6.4; 8; 8.9; 9; 13.4
Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the α= 0.01 level of significance. Assume the data are approximately normal and that there are no outliers.
H0: µ1=µ2 H1: µ1>µ2 These are the values:
Population 1: N=8 x̅ : 10.3 σ: 8.475
Population 2: N=8 x̅ : 3.0840604 σ: 3.1148263
I've already gotten to the point where I've solved the T value, which is 2.260398849. But I cannot figure out how to get the P-Value. I've looked at Chi-tables at the Degrees of Freedom, which is 7. But I still cannot understand where/how to get the solution. I'm using mymathlab, so I know what the answer is (multiple attempts w/ wrong answer). It's .014, but like I said, I have no idea where that number came from.
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