Question

You may need to use the appropriate technology to 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 has 10 years of experience, whereas consultant B has 1 year of experience. Use a = 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 n = 16 n = 10 X = 6.84 x2 = 6.28 S2 = 0.64 s, = 0.75 (a) State the null and alternative hypotheses. O Hou, - U20 Haiki-lg = 0 Hoiu, - M2 = 0 Ha: 47 - 42 0 Hou, - 2 = на:и. — К. Holly - H2 Hai My - M₂ > 0 Ho: My – My > 0 H: "7 - My = 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 Ho. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. Do not Reject Ho. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating. Reject Ho. There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating. Reject Ho. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.

Answer 1

Pepe No. Given that X = 6.84 s = 0.64 X2 = 6,28 32=0.75 12 =10 Null and Alternative hypothers. Ho : 4 12-6 Hali-la o oru. Rejection Region - Critical value for right taited test for level of significance is a = 0.05 and degrees of freedoms is df = 16.95 - Rejection Region is R = {tit> 1.748 Test statisties - t. x, X₂ * - X G... 6. 29 252 To folo 2 0.75L LA2 Totto 7 = 1.957 Test statistics talans t = 1.957. Deusion about Null hypothest - what t=1.957>te=1.74 its conduded the hull hypothesis He

Pago No Dane is rejected, using p-value approach - paralue = rfast pct>1.957) IP-value = 0.0335 p-value = 0.0335 Looos its concluded that Null hypothesis is rejected. conclusion - It is concluded that Null hypothesis to I rejected. Therefore there is sufficient ovidence to claim that the consultant with more experience has a higher population mean rating.