Periodically, customers of a financial services company areasked to evaluate the company's financial consultants and services.Higher ratings on the client satisfaction survey indicate betterservice, with 7 the maximum service rating. Independent samples ofservice ratings for two financial consultants are summarized here.Consultant A has 10 years of experience, whereas consultant B has 1year of experience. Use
? = 0.05
and test to see whether the consultant with more experience hasthe higher population mean service rating.
| Consultant A | Consultant B |
|---|
n1 = 16 | n2 = 10 |
x1 = 6.85 | x2 = 6.25 |
s1 = 0.68 | s2 = 0.75 |
State the null and alternative hypotheses.
H0:
?1 ? ?2 = 0
Ha:
?1 ? ?2 ? 0
H0:
?1 ? ?2 > 0
Ha:
?1 ? ?2 ? 0
H0:
?1 ? ?2 ? 0
Ha:
?1 ? ?2 = 0
H0:
?1 ? ?2 ? 0
Ha:
?1 ? ?2 = 0
H0:
?1 ? ?2 ? 0
Ha:
?1 ? ?2 > 0
(b)
Compute the value of the test statistic. (Round your answer tothree decimal places.)
(c)
What is the p-value? (Round your answer to four decimalplaces.)
p-value =
What is your conclusion?
Reject H0. There is insufficient evidence toconclude that the consultant with more experience has a higherpopulation mean rating.
Reject H0. There is sufficient evidence toconclude that the consultant with more experience has a higherpopulation mean rating.
Do not Reject H0. There is sufficientevidence to conclude that the consultant with more experience has ahigher population mean rating.
Do not reject H0. There is insufficientevidence to conclude that the consultant with more experience has ahigher population mean rating.
