The Tippie College of Business obtained the following results on the salaries of a recent graduating class: Finance Majors 71-135 T₂=40 7₂=$55,525 7₁-$48,375 81=$19,500 a. Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use a 0.05. 2=$15,000 S Ho: 1-2 H, :μ - Ma < 0 b. What is the value of the test statistic? Enter negative value as a negative number, if any. (rounded to 2 decimals) c. What is the p-value? |df - (rounded down to nearest whole number) (rounded to 3 decimals) p-value- d. What is your conclusion? We conclude 0 v Business Analytics Majors S that the salaries of Finance majors are lower than the salaries Business Analytics majors. Hint(s) Check My Work

MATLAB: An Introduction with Applications
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The Tippie College of Business obtained the following results on the salaries of a recent graduating class:

- **Finance Majors**
  - \( n_1 = 135 \)
  - \( \overline{x}_1 = \$48,375 \)
  - \( s_1 = \$19,500 \)

- **Business Analytics Majors**
  - \( n_2 = 40 \)
  - \( \overline{x}_2 = \$55,525 \)
  - \( s_2 = \$15,000 \)

### a. Formulate Hypotheses
To determine if the salaries for Finance majors are significantly lower than the salaries of Business Analytics majors, use \( \alpha = 0.05 \).

\[
H_0: \mu_1 - \mu_2 \geq 0 
\]
\[
H_a: \mu_1 - \mu_2 < 0 
\]

### b. Test Statistic
Calculate the test statistic (rounded to 2 decimals):

- Value: [Enter result here]

### c. P-Value
Determine the p-value with the following steps:

- Degrees of Freedom (rounded down to nearest whole number): [Enter result here]
- p-value (rounded to 3 decimals): [Enter result here]

### d. Conclusion
Based on the analysis, we conclude:

- That the salaries of Finance majors are lower than the salaries of Business Analytics majors.
Transcribed Image Text:The Tippie College of Business obtained the following results on the salaries of a recent graduating class: - **Finance Majors** - \( n_1 = 135 \) - \( \overline{x}_1 = \$48,375 \) - \( s_1 = \$19,500 \) - **Business Analytics Majors** - \( n_2 = 40 \) - \( \overline{x}_2 = \$55,525 \) - \( s_2 = \$15,000 \) ### a. Formulate Hypotheses To determine if the salaries for Finance majors are significantly lower than the salaries of Business Analytics majors, use \( \alpha = 0.05 \). \[ H_0: \mu_1 - \mu_2 \geq 0 \] \[ H_a: \mu_1 - \mu_2 < 0 \] ### b. Test Statistic Calculate the test statistic (rounded to 2 decimals): - Value: [Enter result here] ### c. P-Value Determine the p-value with the following steps: - Degrees of Freedom (rounded down to nearest whole number): [Enter result here] - p-value (rounded to 3 decimals): [Enter result here] ### d. Conclusion Based on the analysis, we conclude: - That the salaries of Finance majors are lower than the salaries of Business Analytics majors.
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