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 = 0.65

s2 = 0.75

(a)

state the null and alternative hypotheses.

h0:

μ1 − μ2 ≤ 0

ha:

μ1 − μ2 = 0

h0:

μ1 − μ2 > 0

ha:

μ1 − μ2 ≤ 0

h0:

μ1 − μ2 ≠ 0

ha:

μ1 − μ2 = 0

h0:

μ1 − μ2 ≤ 0

ha:

μ1 − μ2 > 0

h0:

μ1 − μ2 = 0

ha:

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?

reject h0. there is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating. do not 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. reject h0. there is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.