You may need to use the appropriatetechnologyto 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 has10 yearsof experience, whereas consultant B has1 yearof 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 n 1 16 n 2 10 x 1 6 83 x 2 6 25 s 1 0 66 s 2 0 75 (a) State the null and alternative hypotheses H 0 1 2 0 H a 1 2 0 H 0 1 2 0 H a 1 2 0 H 0 1 2 0 H a 1 2 0 H 0 1 2 0 H a 1 2 0 H 0 1 2 0 H a 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 H 0 There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating Do not Reject H 0 There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating Reject H 0 There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating Do not reject H 0 There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating

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Posted on Jun 28, 2024

You may need to use the appropriatetechnologyto answer this question. Periodically, customers of a financial services company are asked to evaluate the company's financial consultants

You may need to use the appropriatetechnologyto 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 has10 yearsof experience, whereas consultant B has1 yearof 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.

H₀:₁₂> 0
H_a:₁₂0

H₀:₁₂0
H_a:₁₂> 0

H₀:₁₂0
H_a:₁₂= 0

H₀:₁₂0
H_a:₁₂= 0

H₀:₁₂= 0
H_a:₁₂0

(b)

Compute the value of the test statistic. (Round your answer to three decimal places.)

(c)

What is thep-value? (Round your answer to four decimal places.)

p-value =

(d)

What is your conclusion?

RejectH₀. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
Do not RejectH₀. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
RejectH₀. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
Do not rejectH₀. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.