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The weekly sales (measured in cases, ie 24 packs) for a certain brand of soda is measured for two locations - end of aisle display and normal shelf location (in an aisle). Managers want to know if end of aisle display truly is advantageous in producing more sales. The data is shown below: Normal End of Aisle Mean 50.3 Mean 72 Standard Error 5.921805 Standard Error 3.966527 Normal End of Aisle Median 54 Median 73.5 22 52 Mode #N/A Mode #N/A 34 71 Standard Deviation 18.72639 Standard Deviation 12.54326 52 76 Sample Variance 350.6778 Sample Variance 157.3333 62 54 Kurtosis -0.35731 Kurtosis -0.74079 30 67 Skewness 0.144669 Skewness -0.35851 40 83 Range 62 Range 38 64 66 Minimum 22 Minimum 52 84 90 Мaximum 84 Maximum 90 56 77 Sum 503 Sum 720 59 84 Count 10 Count 10 a) Would you use a one-sided or two-sided test for this example. Why? b) State the null and alternative hypothesis corresponding to your answer for (a).

The weekly sales (measured in cases, ie 24 packs) for a certain brand of soda is measured for two locations - end of aisle display and normal shelf location (in an aisle). Managers want to know if end of aisle display truly is advantageous in producing more sales. The data is shown below: Normal End of Aisle Mean 50.3 Mean 72 Standard Error 5.921805 Standard Error 3.966527 Normal End of Aisle Median 54 Median 73.5 22 52 Mode #N/A Mode #N/A 34 71 Standard Deviation 18.72639 Standard Deviation 12.54326 52 76 Sample Variance 350.6778 Sample Variance 157.3333 62 54 Kurtosis -0.35731 Kurtosis -0.74079 30 67 Skewness 0.144669 Skewness -0.35851 40 83 Range 62 Range 38 64 66 Minimum 22 Minimum 52 84 90 Мaximum 84 Maximum 90 56 77 Sum 503 Sum 720 59 84 Count 10 Count 10 a) Would you use a one-sided or two-sided test for this example. Why? b) State the null and alternative hypothesis corresponding to your answer for (a).

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### Analysis of Weekly Soda Sales Data #### Overview The weekly sales, measured in cases (24 packs), for a certain brand of soda were collected from two locations: normal shelf location (in an aisle) and end of aisle display. This study aims to determine if end of aisle display increases sales. #### Data Summary **Sales Data**: - **Normal Shelf Location**: 22, 34, 52, 62, 30, 40, 44, 66, 84, 56 - **End of Aisle Display**: 52, 71, 76, 54, 67, 83, 66, 90, 90, 77, 84 **Statistical Summary**: | Statistic | Normal | End of Aisle | |---------------------|----------|--------------| | Mean | 50.3 | 72 | | Standard Error | 5.921805 | 3.966527 | | Median | 54 | 73.5 | | Mode | #N/A | #N/A | | Standard Deviation | 18.72639 | 12.54326 | | Sample Variance | 350.6778 | 157.3333 | | Kurtosis | -0.35731 | -0.74079 | | Skewness | 0.144669 | -0.35851 | | Range | 62 | 38 | | Minimum | 22 | 52 | | Maximum | 84 | 90 | | Sum | 503 | 720 | | Count | 10 | 10 | #### Questions **a) Would you use a one-sided or two-sided test for this example? Why?** A one-sided test would be appropriate if the goal is to determine if the end of aisle display increases sales compared to a normal shelf location. **b) State the null and alternative hypothesis corresponding to your answer for (a).** - **Null Hypothesis (H0):** There is no increase in sales for the end of aisle display compared to the normal shelf location. (Mean sales are equal or lower for end of aisle display) - **Alternative Hypothesis (H1):** The end of aisle display increases sales
Transcribed Image Text:### Analysis of Weekly Soda Sales Data #### Overview The weekly sales, measured in cases (24 packs), for a certain brand of soda were collected from two locations: normal shelf location (in an aisle) and end of aisle display. This study aims to determine if end of aisle display increases sales. #### Data Summary **Sales Data**: - **Normal Shelf Location**: 22, 34, 52, 62, 30, 40, 44, 66, 84, 56 - **End of Aisle Display**: 52, 71, 76, 54, 67, 83, 66, 90, 90, 77, 84 **Statistical Summary**: | Statistic | Normal | End of Aisle | |---------------------|----------|--------------| | Mean | 50.3 | 72 | | Standard Error | 5.921805 | 3.966527 | | Median | 54 | 73.5 | | Mode | #N/A | #N/A | | Standard Deviation | 18.72639 | 12.54326 | | Sample Variance | 350.6778 | 157.3333 | | Kurtosis | -0.35731 | -0.74079 | | Skewness | 0.144669 | -0.35851 | | Range | 62 | 38 | | Minimum | 22 | 52 | | Maximum | 84 | 90 | | Sum | 503 | 720 | | Count | 10 | 10 | #### Questions **a) Would you use a one-sided or two-sided test for this example? Why?** A one-sided test would be appropriate if the goal is to determine if the end of aisle display increases sales compared to a normal shelf location. **b) State the null and alternative hypothesis corresponding to your answer for (a).** - **Null Hypothesis (H0):** There is no increase in sales for the end of aisle display compared to the normal shelf location. (Mean sales are equal or lower for end of aisle display) - **Alternative Hypothesis (H1):** The end of aisle display increases sales
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