A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. Use the results are giventhe link below to test is there a difference between the before and after scores. (round to two decimal places)

1- What is the appropriate test to compere means?

A) Independent two samples t test with unequal variances

B) Paired two samples t test

C) Independent two samples t test with equal variances

D) Z-Score Normal test

2- What is the degrees of freedom?

3- Find the Tstat value (computed t).

4- Find the t critical value.

5- What is your dicession?

A) Reject H0, there is no significant difference

B) Fail to reject H0, there is significant difference

C) Reject H0, there is significant difference

D) Fail to Reject H0, there is no significant difference

Number of Surgeries (Y) Age (Years) (X) 22 9 85 52 3 55 Regression Statistics 4 68 Multiple R 0.70772136 25 67 R Square 0.500869524 86 Adjusted R Square 0.417681111 9 83 Standard Error 2.547291933 10 73 Observations 8 ANOVA df Regression 1 Residual 6 SS 39.06782286 38.93217714 MS F 39.06782286 6.020904926 6.488696191 Significance F 0.049537679 Total 7 78 Intercept Age (Years) (X) Coefficients -7.275627129 0.179622174 Standard Error 5.283882303 0.073203031 t Stat P-value -1.376947235 0.217696321 2.453753232 0.049537679 Lower 95% -20.20482136 Upper 95% 5.653567099 0.00050081 0.358743538 Lower 95.0% -20.20482136 0.00050081 Upper 95.0% 5.653567099 0.358743538