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 n₁ = 16 X₁ = 6.84 $1 = 0.69 Consultant B n₂ = 10 x₂ = 6.29 $2 = 0.75 (a) State the null and alternative hypotheses. OHO: H₁-H₂SO H²H1-H₂> 0 O H : H1 - H2 = 0 Ha: H1 - H2 + 0 O Ho H₁-H₂SO H₂H₁-H₂ = 0 он : H1-H2=0 H : M1 - H2 = 0 O Ho H1 - H2> 0 Ha: H1 - H2 50 (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.) 4

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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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 a = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating.
Consultant A
1 = 16
x₁ = 6.84
$₁ = 0.69
Consultant B
n₂ = 10
x₂ = 6.29
$2 = 0.75
(a) State the null and alternative hypotheses.
О но H1-250
на: Н1-H2>0
о но H1 - H2 = 0
нa: H1 - H2 + 0
0 Ho: 1-250
на H1 - м2 = 0
он : 1 - 2 = 0
Н : М1 - H2 = 0
0 Ho: H1 - H2 > 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 =
4
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 1 = 16 x₁ = 6.84 $₁ = 0.69 Consultant B n₂ = 10 x₂ = 6.29 $2 = 0.75 (a) State the null and alternative hypotheses. О но H1-250 на: Н1-H2>0 о но H1 - H2 = 0 нa: H1 - H2 + 0 0 Ho: 1-250 на H1 - м2 = 0 он : 1 - 2 = 0 Н : М1 - H2 = 0 0 Ho: H1 - H2 > 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 = 4
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