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. Assume the population variane are unequal. Consultant A Consultant B 2- 10 - 6.26 n- 16 *- 6.81 - 0.69 $2- 0.75 (a) State the null and alternative hypotheses. O Hg: H - H2 "0 H - 2-0 O Hgi H - H2 > 0 H: H - H2-0 O Hoi H - H2 0 O Hoi H - H2 - 0 Hi H - H20 O Hgi H - H2 - 0 H H- H2> 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? O Reject Ho. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. O Do not reject Hg. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. O Reject Hg. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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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. Assume the population variances
are unequal.
Consultant A
Consultant B
n, - 16
n2 = 10
X, = 6.81
X, = 6.26
s, = 0.69
$2 = 0.75
(a) State the null and alternative hypotheses.
O Ho: H1 - H2 = 0
H H - H2 = 0
O Ho: H1 - H2 > 0
H3: H - H2 = 0
O Họ: H1 - H2 * 0
H3: H1 - H2 = 0
O Ho: H1 - H2 = 0
Hai H1 - H2 # 0
O Ho: H1 - H2 = 0
H3: 1 - H2 > 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.)
D-value =
(d) What is your conclusion?
O Reject H. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
O Do not reject H,. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
O Reject H. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
O Do not Reject Ho. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
Transcribed Image Text:You may need to use the appropriate technology to answer this 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 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. Assume the population variances are unequal. Consultant A Consultant B n, - 16 n2 = 10 X, = 6.81 X, = 6.26 s, = 0.69 $2 = 0.75 (a) State the null and alternative hypotheses. O Ho: H1 - H2 = 0 H H - H2 = 0 O Ho: H1 - H2 > 0 H3: H - H2 = 0 O Họ: H1 - H2 * 0 H3: H1 - H2 = 0 O Ho: H1 - H2 = 0 Hai H1 - H2 # 0 O Ho: H1 - H2 = 0 H3: 1 - H2 > 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.) D-value = (d) What is your conclusion? O Reject H. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. O Do not reject H,. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. O Reject H. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating. O Do not Reject Ho. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
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