A guidance counselor claims that high school students in acollege preparation program have higher ACT scores than those in ageneral program. The sample mean ACT score for 49 high schoolstudents who are in a college preparation program is 22.2 and thesample standard deviation is 4.8. The sample mean ACT score for 44high school students who are in a general program is 20.0 and thesample standard deviation is 5.4.  

Use an 8% level of significance to conduct test the guidancecounselor’s claim. Assume the distribution of ACT scores for bothprograms are approximately normally distributed. Assume that?_{college prep}² ‡?_general² .  

H₀:                                                                                     Level of significance (?):   ?=         

H_A:                                                                                    Type test:     two-tailed   left tail      right tail

Specify the randomvariable and distribution to be used in thishypothesis test.

Calculate the p-value                                                        Draw a graph and show the p-value

Show your work and any calculator functions used.

                   

Compare the p-value with?                            Decide to Reject or Fail to reject the nullhypothesis                   

                   

Conclusion.State your results in non-technical terms.