#1 = $48,877 a2 = $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 salar Analytics majors. Use a = 0.05. Zr1 – 171 : 0H Ha : H1 – H2 b. What is the value of the test statistic? Enter negative value as a negative number, if any. 1.85 (rounded to 2 decimals) c. What is the p-value? df = (rounded down to nearest whole number) 153 p-value = .033 (rounded to 3 decimals)

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The Tippie College of Business obtained the following results on the salaries of a recent graduating class. What is the value of the test statistic? Enter negative value as a negative number, if any, rounded to 2 decimals. Find df rounded to a whole number. Find p-value rounded to 3 decimals. 

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

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

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

**a. Formulate hypotheses:**

To determine if the salaries for Finance majors are significantly lower than those for Business Analytics majors using a significance level (\( \alpha \)) of 0.05, the hypotheses are:

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

**b. What is the value of the test statistic?**

The test statistic is calculated as: 
- Value: -1.85 (rounded to 2 decimal places)

**c. What is the \( p \)-value?**

- Degrees of freedom (\( df \)): 153 (rounded down to the nearest whole number)
- \( p \)-value: 0.033 (rounded to 3 decimal places)

This result suggests that the salaries of Finance majors are significantly lower than those of Business Analytics majors at the 0.05 significance level.
Transcribed Image Text:The Tippie College of Business obtained the following results on the salaries of a recent graduating class: - **Finance Majors** - Sample size (\( n_1 \)): 130 - Mean salary (\( \bar{x}_1 \)): $48,877 - Standard deviation (\( s_1 \)): $16,000 - **Business Analytics Majors** - Sample size (\( n_2 \)): 25 - Mean salary (\( \bar{x}_2 \)): $55,157 - Standard deviation (\( s_2 \)): $12,000 **a. Formulate hypotheses:** To determine if the salaries for Finance majors are significantly lower than those for Business Analytics majors using a significance level (\( \alpha \)) of 0.05, the hypotheses are: - Null hypothesis (\( H_0 \)): \( \mu_1 - \mu_2 \geq 0 \) - Alternative hypothesis (\( H_a \)): \( \mu_1 - \mu_2 < 0 \) **b. What is the value of the test statistic?** The test statistic is calculated as: - Value: -1.85 (rounded to 2 decimal places) **c. What is the \( p \)-value?** - Degrees of freedom (\( df \)): 153 (rounded down to the nearest whole number) - \( p \)-value: 0.033 (rounded to 3 decimal places) This result suggests that the salaries of Finance majors are significantly lower than those of Business Analytics majors at the 0.05 significance level.
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