Listed below are the number of cricket chirps in 1 min and t

Listed below are the number of cricket chirps in 1 min and the corresponding temperatures in degrees Fahrenheit. Is there sufficient evidence to conclude that there is a relationship between the number of cricket chirps in 1 min and the temperature? Use a significance level of a= 0.05.

Solution

Using technology, we get the correlation,              
              
r =    -0.243462306          
              
              
As t = r sqrt [(n - 2) / (1 - r^2)], then              
              
t =    -0.614859316          
              
As alpha =    0.05          

df =    6          
              
Then              
              
tcrit =    2.446911851          
              
As |t| < 2.4469, then we FAIL TO REJECT THE NULL HYPOTHESIS.

There is no significant   evidence to conclude that there is a relationship between the number of cricket chirps in 1 min and temperature. [CONCLUSION]