Part 2 and 3 **Educational Website Content****Title: Hypothesis Testing on Tipping Habits of College Students vs. Other Adults****Introduction**A pizza delivery driver recently raised a concern that college students do not tip as generously as other adults. To verify this claim, a hypothesis test was conducted at a significance level of $ \alpha = 0.10 $. In this context, $ \mu_C $ represents the average tip left by a college student, while $ \mu_0 $ symbolizes the average tip left by other adults.**Hypotheses**The correct hypotheses for this test are:- Null Hypothesis ($ H_0 $): $ \mu_C = \mu_0 $- Alternative Hypothesis ($ H_1 $): $ \mu_C < \mu_0 $**Sample Data**- A random sample of 38 college students left an average tip of $5.29, with a standard deviation of $1.03.- A random sample of 47 non-college adults left an average tip of $6.45, with a standard deviation of $0.86.**Statistical Analysis**- **Test Statistic**: [Calculate and insert the value with 2 decimal places here]- **P-value**: [Calculate and insert the value with 4 decimal places here]**Results**The analysis led to the decision to reject the Null Hypothesis.**Conclusion**There is significant evidence to suggest that, on average, college students tip less than their non-college-student counterparts. This conclusion might influence businesses and service providers to consider this behavior in their service strategies.**Explanation of Visuals**- The first diagram is a selection box showing different hypothesis options, where the correct option (indicating $ \mu_C = \mu_0 $ vs. $ \mu_C < \mu_0 $) is marked.- The second part contains options for test results, indicating the decision to reject the null hypothesis.- The final section presents the conclusion options, highlighting the significant evidence suggesting the tipping difference between college students and other adults.

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Description: Part 2 and 3 **Educational Website Content****Title: Hypothesis Testing on Tipping Habits of College Students vs. Other Adults****Introduction**A pizza delivery driver recently raised a concern that college students do not tip as generously as other

Given information, Sample size, n1=38 n2=47 Sample mean, X1=5.29 X2=6.45 Sample standard deviation,…

Math

Statistics

A random sample of 38 college students had left an average tip of $5.29, with a standard deviation of $1.03. A random sample of 47 non-college-student adults had left an average tip of $6.45, with a standard deviation of $0.86. Find the test statistic (2 decimals): Give the P-value (4 decimals):

A random sample of 38 college students had left an average tip of $5.29, with a standard deviation of $1.03. A random sample of 47 non-college-student adults had left an average tip of $6.45, with a standard deviation of $0.86. Find the test statistic (2 decimals): Give the P-value (4 decimals):

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Part 2 and 3

**Educational Website Content**

**Title: Hypothesis Testing on Tipping Habits of College Students vs. Other Adults**

**Introduction**
A pizza delivery driver recently raised a concern that college students do not tip as generously as other adults. To verify this claim, a hypothesis test was conducted at a significance level of $ \alpha = 0.10 $. In this context, $ \mu_C $ represents the average tip left by a college student, while $ \mu_0 $ symbolizes the average tip left by other adults.

**Hypotheses**
The correct hypotheses for this test are:
- Null Hypothesis ($ H_0 $): $ \mu_C = \mu_0 $
- Alternative Hypothesis ($ H_1 $): $ \mu_C < \mu_0 $

**Sample Data**
- A random sample of 38 college students left an average tip of $5.29, with a standard deviation of $1.03.
- A random sample of 47 non-college adults left an average tip of $6.45, with a standard deviation of $0.86.

**Statistical Analysis**
- **Test Statistic**: [Calculate and insert the value with 2 decimal places here]
- **P-value**: [Calculate and insert the value with 4 decimal places here]

**Results**
The analysis led to the decision to reject the Null Hypothesis.

**Conclusion**
There is significant evidence to suggest that, on average, college students tip less than their non-college-student counterparts. This conclusion might influence businesses and service providers to consider this behavior in their service strategies.

**Explanation of Visuals**
- The first diagram is a selection box showing different hypothesis options, where the correct option (indicating $ \mu_C = \mu_0 $ vs. $ \mu_C < \mu_0 $) is marked.
- The second part contains options for test results, indicating the decision to reject the null hypothesis.
- The final section presents the conclusion options, highlighting the significant evidence suggesting the tipping difference between college students and other adults.

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