THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A brand manager is interested in determining if consumers prefer the new fragrance associated with a detergent.She surveyed 212 consumers and has them rank the new and old fragrances on a scale of 1 to 10.Of the 198 consumers who scored a different score on the new fragrance than on the old,the absolute values of the differences in their ratings were ranked.The smaller of the ranked sums,8,208,was for those individuals who rated the original fragrance higher.
-A campus administrator has found that 64% of all students view courses as very useful,20% as somewhat useful,and 16% as worthless.Of a random sample of 150 students taking business courses,105 found the course in question very useful,25 somewhat useful,and 20 worthless.Test at the 10% level the null hypothesis that the population distribution for business courses is the same as that for all courses.Carry out the calculations manually,and verify your answers using statistical software.