Answer:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
Step-by-step explanation:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
Answer:
30
Step-by-step explanation:
238,900/7,917=30.1755
Answer:
52 dollars and 47 cents, or 52.47
Step-by-step explanation:
First, multiply 12 and 5.50, then you should get 66.00. Then, take the 25% discount, and divide it by a hundred, you should get 0.25, now multiply 0.25 and 66.00. You should get 16.50, thats your discount, so subtract 16.50 from 66.00, you should get 49.50. Now for the sales tax, divide 6.0 by 100, you should get 0.06. Now multiply 0.06 and 49.50, you should get 2.97, thats your tax, add it to 49.50, and you get 52.47 so BOOM, thats your answer, your welcome