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.

Consultant A	Consultant B
n1 = 16	n2 = 10
x1 = 6.82	x2 = 6.28
s1 = 0.69	s2 = 0.75

(a) State the null and alternative hypotheses.

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.)

(d) What is your conclusion?

Reject H₀. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.

Answer 1