eriodically, 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 = 6.83 x2 = 6.25 s1 = 0.66 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 sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.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.Do not Reject H0. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean ratin
eriodically, 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 = 6.83 x2 = 6.25 s1 = 0.66 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 sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.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.Do not Reject H0. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean ratin
MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 = 6.83
|
x2 = 6.25
|
s1 = 0.66
|
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 sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.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.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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