Question

Researchers conducted a study to investigate the effects of color on cognitive tasks. Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below: (SHOW WORK):

Red Background: n = 35	15.89	s = 5.90
Blue Background: n = 36	12.31	s = 5.48

1. Use a 0.05 significance level to test the claim that the samples are from populations with the same mean..

2. Does the background color appear to have an effect on word recall scores? If so, which color appears to be associated with higher word memory recall scores?

3. Test the claim by constructing an appropriate confidence interval.    

4. What are the null and alternative hypotheses?
   
5. What is the value of α= significance level?
   
6. Is the test two-tailed, left-tailed or right-tailed?
   
7. What is the test statistic and what is its distribution?
   
8. What is the value of the test statistic?
   
9. What is the P-value?
   
10. What is (are) the critical value(s)?
    
11. How would you state a conclusion that addresses the original claim?

Answer 1