Question
Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate
Periodically, customers of a financial services company are asked to evaluate the company's 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
and test to see whether the consultant with more experience has the higher population mean service rating.
Consultant A | Consultant B |
---|---|
n1 = 16 | n2 = 10 |
x1 = 6.81 | x2 = 6.29 |
s1 = 0.68 | s2 = 0.75 |
(a)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 to three decimal places.)
(c)What is the p-value? (Round your answer to four decimal places.)p-value =
(d)What is your conclusion?
Reject H0. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
Do not reject H0. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
Reject H0. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
Do not Reject H0. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
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