Question

In a study of jury behavior, two samples of participants were provided details about a trial in which the defendant was obviously guilty. Although group 2 received the same details as group 1, the second group was also told that same evidence had been withheld from the jury by the judge. Later the participants were asked to recommend a jail sentence. The length of term suggested by each participant is presented here. Is there a significant difference between the two groups in their response. Test at α = .001

Group 1                            Group 2

                        4                                  3

                        4                                  7

3                                  8

2                                  5

5                                  4

1                                  7

1                                  7

4                                  8

Answer 1

We use the Excel Data Analysis Tool for ANOVA single factor                  
The null and alternative hypotheses are :                  
Ho :  There is no difference in the responses of the two Groups                  
Ha :  There is a difference in the responses of the two groups                  
                  
SUMMARY                  

ANOVA

p-value = 0.0026          
          
α = 0.001            .....0.1% level of significance      
0.0026 > 0.001          
that is, p-value > 0.001          
Hence, we Do Not Reject Ho          
          
Conclusion :          
At 0.1% level of significance, there DOES NOT EXIST enough statistical evidence to show that           
there is a difference in the responses of the two groups          
that is           
There is no difference in the responses of the two Groups