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 α = 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 = 6.26 s1 = 0.64 s2 = 0.75 (a) State the null and alternative hypotheses. H0: μ1 − μ2 ≤ 0 ; Ha: μ1 − μ2 = 0 H0: μ1 − μ2 ≤ 0 ; Ha: μ1 − μ2 > 0 H0: μ1 − μ2 ≠ 0 ; Ha: μ1 − μ2 = 0 H0: μ1 − μ2 = 0 ; Ha: μ1 − μ2 ≠ 0 H0: μ1 − μ2 > 0 ; Ha: μ1 − μ2 ≤ 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? (A) Reject H0. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. (B) Do not reject H0. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. (C) Do not Reject H0. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating. (D) Reject H0. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
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 α = 0.05 and test to see whether the consultant with more experience has the higher population
Consultant A | Consultant B |
---|---|
n1 = 16 |
n2 = 10 |
x1 = 6.81 |
x2 = 6.26 |
s1 = 0.64 |
s2 = 0.75 |
(a) State the null and alternative hypotheses.
H0: μ1 − μ2 ≤ 0 ; Ha: μ1 − μ2 = 0
H0: μ1 − μ2 ≤ 0 ; Ha: μ1 − μ2 > 0
H0: μ1 − μ2 ≠ 0 ; Ha: μ1 − μ2 = 0
H0: μ1 − μ2 = 0 ; Ha: μ1 − μ2 ≠ 0
H0: μ1 − μ2 > 0 ; Ha: μ1 − μ2 ≤ 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?
(A) Reject H0. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
(B) Do not reject H0. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
(C) Do not Reject H0. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
(D) Reject H0. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
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