Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch 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. Round degrees of freedom to previous whole number. Excel File: data10-17.xlsx Consultant A Consultant B n1 = 16 n2 = 10 T1 = 6.82 T2 = 6.25 81 = 0.64 82 = 0.75 a. State the null and alternative hypotheses. Ho: µ1 - p2 - Select your answer - Ha: pi – 42 Select your answer - b. Compute the value of the test statistic. (to 2 decimals) c. What is the p-value? Use Table 2 from Appendix B to find the values that bound the test statistic. Select your answer -

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Author:Amos Gilat
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Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 being 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. Round degrees of freedom to the previous whole number.

### Data:
**Excel File:** [data10-17.xlsx](#)

|                | Consultant A | Consultant B |
|----------------|--------------|--------------|
| \( n_1 = 16 \) | \( n_2 = 10 \) |
| \( \bar{x}_1 = 6.82 \) | \( \bar{x}_2 = 6.25 \) |
| \( s_1 = 0.64 \) | \( s_2 = 0.75 \) |

### Tasks:
**a. State the null and alternative hypotheses.**

- \( H_0: \mu_1 - \mu_2 = \) [Select your answer]
- \( H_a: \mu_1 - \mu_2 \neq \) [Select your answer]

**b. Compute the value of the test statistic. (to 2 decimals)**
- [Input field for answer]

**c. What is the p-value?** Use Table 2 from Appendix B to find the values that bound the test statistic.

- [Dropdown options: 0.05 < p, 0.10 < p, 0.15 < p, 0.20 < p]

**d. What is your conclusion?**
- [Dropdown options for answer]
Transcribed Image Text:Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 being 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. Round degrees of freedom to the previous whole number. ### Data: **Excel File:** [data10-17.xlsx](#) | | Consultant A | Consultant B | |----------------|--------------|--------------| | \( n_1 = 16 \) | \( n_2 = 10 \) | | \( \bar{x}_1 = 6.82 \) | \( \bar{x}_2 = 6.25 \) | | \( s_1 = 0.64 \) | \( s_2 = 0.75 \) | ### Tasks: **a. State the null and alternative hypotheses.** - \( H_0: \mu_1 - \mu_2 = \) [Select your answer] - \( H_a: \mu_1 - \mu_2 \neq \) [Select your answer] **b. Compute the value of the test statistic. (to 2 decimals)** - [Input field for answer] **c. What is the p-value?** Use Table 2 from Appendix B to find the values that bound the test statistic. - [Dropdown options: 0.05 < p, 0.10 < p, 0.15 < p, 0.20 < p] **d. What is your conclusion?** - [Dropdown options for answer]
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