#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)
#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)
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
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.

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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