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

α = 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
n1 = 16	n2 = 10
x1 = 6.84	x2 = 6.26
s1 = 0.64	s2 = 0.75

(a)

State the null and alternative hypotheses.

H₀:

μ₁ − μ₂ = 0

H_a:

μ₁ − μ₂ ≠ 0

H₀:

μ₁ − μ₂ = 0

H_a:

μ₁ − μ₂ > 0

    

H₀:

μ₁ − μ₂ > 0

H_a:

μ₁ − μ₂ = 0

H₀:

μ₁ − μ₂ ≠ 0

H_a:

μ₁ − μ₂ = 0

H₀:

μ₁ − μ₂ = 0

H_a:

μ₁ − μ₂ = 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?

Do not reject H₀. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. 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 sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.

Answer 1