The Tippie College of Business obtained the following results on the salaries of a recent graduating class: Finance Majors Business Analytics Majors n1 = 130 n2 = 25 E1 = $48,877 E2 = $55,157 81 = $16,000 82 = $12,000 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. Ho : µ1 – H2 H. : 41 - 42 E 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) p-value = (rounded to 3 decimals) d. What is your conclusion? We Select your answer that the salaries of Finance majors are lower than the salaries of Business Analytics majors. Select your answer - conclude cannot conclude

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The Tippie College of Business obtained the following results on the salaries of a recent graduating class:

### Salary Analysis for Finance and Business Analytics Majors

The Tippie College of Business collected the following data on the salaries of a recent graduating class:

- **Finance Majors:**
  - Sample size (\( n_1 \)) = 130
  - Average salary (\( \bar{x}_1 \)) = $48,877
  - Standard deviation (\( s_1 \)) = $16,000

- **Business Analytics Majors:**
  - Sample size (\( n_2 \)) = 25
  - Average salary (\( \bar{x}_2 \)) = $55,157
  - Standard deviation (\( s_2 \)) = $12,000

#### Hypothesis Formulation

a. Formulate hypotheses with the significance level \( \alpha = 0.05 \):

- Null Hypothesis (\( H_0 \)): \( \mu_1 - \mu_2 \geq 0 \)
- Alternative Hypothesis (\( H_a \)): \( \mu_1 - \mu_2 < 0 \)

#### Statistical Analysis

b. Calculate the test statistic value, ensuring negative values are correctly noted. Round your answer to 2 decimal places.

c. Determine the p-value:

- Calculate degrees of freedom (\( d.f \)), rounding down to the nearest whole number.
- Calculate the p-value, rounding to 3 decimal places.

#### Conclusion

d. Analyze the results and conclude whether:

- You conclude 
- You cannot conclude 

...that the salaries of Finance majors are lower than those of Business Analytics majors.

Please use the dropdown menu to select your conclusion based on the statistical analysis.
Transcribed Image Text:### Salary Analysis for Finance and Business Analytics Majors The Tippie College of Business collected the following data on the salaries of a recent graduating class: - **Finance Majors:** - Sample size (\( n_1 \)) = 130 - Average salary (\( \bar{x}_1 \)) = $48,877 - Standard deviation (\( s_1 \)) = $16,000 - **Business Analytics Majors:** - Sample size (\( n_2 \)) = 25 - Average salary (\( \bar{x}_2 \)) = $55,157 - Standard deviation (\( s_2 \)) = $12,000 #### Hypothesis Formulation a. Formulate hypotheses with the significance level \( \alpha = 0.05 \): - Null Hypothesis (\( H_0 \)): \( \mu_1 - \mu_2 \geq 0 \) - Alternative Hypothesis (\( H_a \)): \( \mu_1 - \mu_2 < 0 \) #### Statistical Analysis b. Calculate the test statistic value, ensuring negative values are correctly noted. Round your answer to 2 decimal places. c. Determine the p-value: - Calculate degrees of freedom (\( d.f \)), rounding down to the nearest whole number. - Calculate the p-value, rounding to 3 decimal places. #### Conclusion d. Analyze the results and conclude whether: - You conclude - You cannot conclude ...that the salaries of Finance majors are lower than those of Business Analytics majors. Please use the dropdown menu to select your conclusion based on the statistical analysis.
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