MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Experiment on Candy and Tips** An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are provided below along with the sample sizes. Assume that the two samples are independent simple random samples, chosen from normally distributed populations, and do not presume equal population standard deviations. ### Data Table | | Sample (n) | Mean (x̅) | Standard Deviation (s) | |---------------|------------|-----------|------------------------| | No Candy | 33 | 18.13 | 1.39 | | Two Candies | 33 | 20.78 | 2.45 | ### Hypothesis - **Null Hypothesis (H₀):** μ₁ = μ₂ - **Alternative Hypothesis (H₁):** μ₁ ≠ μ₂ ### Test Statistic The test statistic is calculated as \( t = 5.40 \) (rounded to two decimal places). ### P-Value Calculate the P-value to three decimal places as needed. This content guides through the process of hypothesis testing to explore the relationship between candy offerings and tipping behavior.
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Transcribed Image Text:**Experiment on Candy and Tips** An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are provided below along with the sample sizes. Assume that the two samples are independent simple random samples, chosen from normally distributed populations, and do not presume equal population standard deviations. ### Data Table | | Sample (n) | Mean (x̅) | Standard Deviation (s) | |---------------|------------|-----------|------------------------| | No Candy | 33 | 18.13 | 1.39 | | Two Candies | 33 | 20.78 | 2.45 | ### Hypothesis - **Null Hypothesis (H₀):** μ₁ = μ₂ - **Alternative Hypothesis (H₁):** μ₁ ≠ μ₂ ### Test Statistic The test statistic is calculated as \( t = 5.40 \) (rounded to two decimal places). ### P-Value Calculate the P-value to three decimal places as needed. This content guides through the process of hypothesis testing to explore the relationship between candy offerings and tipping behavior.
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