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. Consultant A Consultant B "116 2- 10 x- 6.05 X,- 6.25 $10.64 2- 0.75 (a) State the null and alternative hypotheses. O Hoi H- 2s 0 O Ho: H- H2 50 O Hoi H-H2>0 O Hoi H- H2*0 H H-2-0 O Ho! H- H2 - 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.) pvalue
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. Consultant A Consultant B "116 2- 10 x- 6.05 X,- 6.25 $10.64 2- 0.75 (a) State the null and alternative hypotheses. O Hoi H- 2s 0 O Ho: H- H2 50 O Hoi H-H2>0 O Hoi H- H2*0 H H-2-0 O Ho! H- H2 - 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.) pvalue
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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
Transcribed Image Text: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 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 \(\alpha = 0.05\) and test to see whether the consultant with more experience has the higher population mean service rating.
### Data Summary
| Consultant A | Consultant B |
|--------------|--------------|
| \(n_1 = 16\) | \(n_2 = 10\) |
| \(\bar{x}_1 = 6.85\) | \(\bar{x}_2 = 6.25\) |
| \(s_1 = 0.64\) | \(s_2 = 0.75\) |
### Hypotheses
**(a) State the null and alternative hypotheses:**
- \(\text{H}_0\): \(\mu_1 - \mu_2 \leq 0\)
\(\text{H}_a\): \(\mu_1 - \mu_2 > 0\)
- \(\text{H}_0\): \(\mu_1 - \mu_2 \geq 0\)
\(\text{H}_a\): \(\mu_1 - \mu_2 < 0\)
- \(\text{H}_0\): \(\mu_1 - \mu_2 = 0\)
\(\text{H}_a\): \(\mu_1 - \mu_2 \neq 0\)
### Calculate and Conclude
**(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 \(\text{H}_0\): There is insufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
- Reject \(\text{H}_0\): There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.
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