Question

In: Statistics and Probability

Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and...

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:

μ1μ2 = 0

Ha:

μ1μ2 ≠ 0

H0:

μ1μ2 = 0

Ha:

μ1μ2 > 0

    

H0:

μ1μ2 > 0

Ha:

μ1μ2 = 0

H0:

μ1μ2 ≠ 0

Ha:

μ1μ2 = 0

H0:

μ1μ2 = 0

Ha:

μ1μ2 = 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.

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