Periodically, customers of a financial services company are asked to evaluate the company's financial co satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a experience has the higher population mean service rating. Consultant A Consultant B 116 ₂-10 X₁6.82 X₂ - 6.27 $₁0.69 5₂-0.75 (a) State the null and alternative hypotheses. Ho ₁₂50 H₁ M₁ #₂0 Ho: M₁-M₂-0 H₂H₂H₂O Ho M₁ M₂0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 a 0.05 and test to see whether the consultant with more
experience has the higher population mean service rating.
Consultant A Consultant B
₁16
₂-10
X₁ -6.82
x₂ = 6.27
$₁0.69
5₂ -0.75
(a) State the null and alternative hypotheses.
Ho ₁₂50
На H3 -127.0.
0 Ho Hi-H2=0
H₂H₂H₂O
Ho M₁ M₂ O
H₁:1₁-1₂-0
Ho² M₁-M₂0
H₂H₁₂50
Ho: M₁ M₂ 50
H₂H₂H₂O
(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?
O Reject Ho. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
O Reject Ho There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating
Do not reject Ho. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
Do not Reiect H.. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating
Transcribed Image Text: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 a 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Consultant A Consultant B ₁16 ₂-10 X₁ -6.82 x₂ = 6.27 $₁0.69 5₂ -0.75 (a) State the null and alternative hypotheses. Ho ₁₂50 На H3 -127.0. 0 Ho Hi-H2=0 H₂H₂H₂O Ho M₁ M₂ O H₁:1₁-1₂-0 Ho² M₁-M₂0 H₂H₁₂50 Ho: M₁ M₂ 50 H₂H₂H₂O (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? O Reject Ho. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating. O Reject Ho There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating Do not reject Ho. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. Do not Reiect H.. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating
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