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(a-1) Calculate the value of the test statistic and p-value. (Round "test statistic" value to 2 decimal places and "p-value" places.) Answer is complete and correct. Test statistic 5.78 p-value 0.0115

(a-1) Calculate the value of the test statistic and p-value. (Round "test statistic" value to 2 decimal places and "p-value" places.) Answer is complete and correct. Test statistic 5.78 p-value 0.0115

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Statistical Analysis Exercise #### (a-1) Test Statistic and p-value Calculation - **Objective:** Calculate the value of the test statistic and p-value. - **Instructions:** Round the "test statistic" to 2 decimal places and the "p-value" to 4 decimal places. - **Results:** - **Test Statistic:** 5.78 - **p-value:** 0.0115 \[ \text{Answer is complete and correct.} \] #### (a-2) Conclusion at 0.05 Significance Level - **Objective:** Determine the conclusion at the 0.05 significance level. \[ \text{Reject } H_0 \] - **Options:** - Reject \( H_0 \) ✔️ - Do not reject \( H_0 \) #### (b) Tukey Simultaneous 95% Confidence Interval - **Objective:** Calculate the Tukey simultaneous 95 percent confidence interval for the given comparisons. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.) - **Comparisons and Confidence Intervals:** \[ \begin{array}{c|c} \text{Comparison} & \text{Confidence Interval} \\ \hline \text{Coke Classic - New Coke} & [ \, ] \\ \text{Coke Classic - Pepsi} & [ \, ] \\ \text{New Coke - Pepsi} & [ \, ] \\ \end{array} \] - **Note:** Values for the intervals are yet to be calculated and inserted in the brackets.
Transcribed Image Text:### Statistical Analysis Exercise #### (a-1) Test Statistic and p-value Calculation - **Objective:** Calculate the value of the test statistic and p-value. - **Instructions:** Round the "test statistic" to 2 decimal places and the "p-value" to 4 decimal places. - **Results:** - **Test Statistic:** 5.78 - **p-value:** 0.0115 \[ \text{Answer is complete and correct.} \] #### (a-2) Conclusion at 0.05 Significance Level - **Objective:** Determine the conclusion at the 0.05 significance level. \[ \text{Reject } H_0 \] - **Options:** - Reject \( H_0 \) ✔️ - Do not reject \( H_0 \) #### (b) Tukey Simultaneous 95% Confidence Interval - **Objective:** Calculate the Tukey simultaneous 95 percent confidence interval for the given comparisons. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.) - **Comparisons and Confidence Intervals:** \[ \begin{array}{c|c} \text{Comparison} & \text{Confidence Interval} \\ \hline \text{Coke Classic - New Coke} & [ \, ] \\ \text{Coke Classic - Pepsi} & [ \, ] \\ \text{New Coke - Pepsi} & [ \, ] \\ \end{array} \] - **Note:** Values for the intervals are yet to be calculated and inserted in the brackets.
The image presents a case study and statistical analysis related to the introduction of New Coke by Coca-Cola in 1985. Below is a transcription and description suitable for an educational website: --- ### Case Study: The Introduction of New Coke and a Statistical Analysis #### Background In 1985, The Coca-Cola Company introduced New Coke. Following its introduction, negative consumer reactions prompted Coca-Cola to bring back its original formula as Coca-Cola Classic. This case study discusses an analysis conducted two years later, in 1987, by a marketing research firm in Chicago. The firm aimed to compare sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. #### Data Collection The study involved data collected from buildings housing vending machines selling Coca-Cola Classic, New Coke, and Pepsi. The table below displays the sales data for each drink across different buildings. | Building | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |------------|----|----|----|----|----|----|----|----|----|----| | Coke Classic | 45 | 156 | 134 | 141 | 147 | 63 | 73 | 72 | 94 | 70 | | New Coke | 44 | 54 | 24 | 59 | 61 | 32 | 41 | 24 | 68 | 54 | | Pepsi | 24 | 90 | 100 | 43 | 51 | 42 | 56 | 74 | 14 | 57 | #### Statistical Analysis: Two-way ANOVA The table below summarizes the results of a two-way ANOVA, which analyzed the sales data with respect to different drinks and buildings. | **Source** | **DF** | **SS** | **MS** | **F** | **p** | |------------|--------|----------|----------|-------|----------| | Drink | 2 | 7997.6 | 3998.80 | 5.78 | 0.011 | | Building | 9 | 55573.5 | 6174.83 | 8.93 | 0.000
Transcribed Image Text:The image presents a case study and statistical analysis related to the introduction of New Coke by Coca-Cola in 1985. Below is a transcription and description suitable for an educational website: --- ### Case Study: The Introduction of New Coke and a Statistical Analysis #### Background In 1985, The Coca-Cola Company introduced New Coke. Following its introduction, negative consumer reactions prompted Coca-Cola to bring back its original formula as Coca-Cola Classic. This case study discusses an analysis conducted two years later, in 1987, by a marketing research firm in Chicago. The firm aimed to compare sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. #### Data Collection The study involved data collected from buildings housing vending machines selling Coca-Cola Classic, New Coke, and Pepsi. The table below displays the sales data for each drink across different buildings. | Building | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |------------|----|----|----|----|----|----|----|----|----|----| | Coke Classic | 45 | 156 | 134 | 141 | 147 | 63 | 73 | 72 | 94 | 70 | | New Coke | 44 | 54 | 24 | 59 | 61 | 32 | 41 | 24 | 68 | 54 | | Pepsi | 24 | 90 | 100 | 43 | 51 | 42 | 56 | 74 | 14 | 57 | #### Statistical Analysis: Two-way ANOVA The table below summarizes the results of a two-way ANOVA, which analyzed the sales data with respect to different drinks and buildings. | **Source** | **DF** | **SS** | **MS** | **F** | **p** | |------------|--------|----------|----------|-------|----------| | Drink | 2 | 7997.6 | 3998.80 | 5.78 | 0.011 | | Building | 9 | 55573.5 | 6174.83 | 8.93 | 0.000
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