Statistics- How to Find P-Value on this question

Question

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

x¯ : 10.3

σ: 8.475

 

Population 2:

N=8

x¯ : 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. 

I asked my instructor, but she said, "I don't have time...", to answer me. >:(

Answer 1

First of all, the sigmas should be s

You have samples, not populations.

 

s = 8.475

s = 3.1148263

 

Goto you t-chart (not chi-sq)

 and look where 2.26 falls under 7 degrees of freedom which is between 

.025 and .05

 

Not significant at the .01 level