# (Solved): The College Board SAT college entrance exam consists of two sections: math and evidencebased reading ...

The College Board SAT college entrance exam consists of two sections: math and evidencebased reading and writing (EBRW). Sample data showing the math and EBRW scores for a sample of 12 students who took the SAT follow. \table[[Student,Math,EBRW,Student,Math,EBRW],[1,540,474,7,480,430],[2,432,380,8,499,459],[3,528,463,9,610,615],[4,574,612,10,572,541],[5,448,420,11,390,335],[6,502,526,12,593,613]] Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the EBRW scores. What is the p-value and what is your conclusion? 2. Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant

`B`

has 1 year of experience. Use 0.05 level of significance to test whether the consultant with more experience has the higher population mean service rating. Report the

`p`

-value. \table[[Consultant A,Consultant B],[

`n_(1)=16`

,

`n_(2)=10`

We have an Answer from Expert