project mamanjment
Data
| Tues | Wed | Thu | Fri | Mon | SST | Tues | Wed | Thu | Fri | Mon | Tues | Wed | Thu | Fri | Mon | |||
| 199.95 | 195.74 | 102.68 | 162.88 | 101.76 | 20 | 13 | 23 | 13 | 13 | 41 | 33 | 34 | 27 | 20 | ||||
| 186.94 | 120.18 | 228.78 | 88.02 | 119.57 | 33 | 15 | 27 | 12 | 19 | 23 | 32 | 31 | 30 | 27 | ||||
| 172.31 | 137.65 | 197.56 | 70 | 97 | 33 | 20 | 29 | 14 | 17 | 30 | 27 | 26 | 24 | 18 | ||||
| 181.43 | 125.57 | 180.63 | 75.87 | 150.51 | 31 | 24 | 31 | 15 | 26 | 22 | 21 | 28 | 23 | 31 | ||||
| 177.41 | 153.84 | 205.36 | 118.54 | 138.04 | 39 | 24 | 35 | 11 | 25 | 29 | 48 | 25 | 31 | 25 | ||||
| 236.01 | 149.58 | 206.17 | 93.1 | 151.91 | 36 | 33 | 37 | 22 | 36 | 35 | 33 | 35 | 16 | 24 | ||||
| 217.29 | 148.24 | 168.08 | 77.52 | 130.77 | 54 | 34 | 43 | 14.5 | 24 | 20 | 11 | 21 | 10 | 8 | ||||
| 164.54 | 121.41 | 127.93 | 61.94 | 128.59 | 48 | 35 | 33 | 24 | 30 | 8 | 4 | 4 | 3 | 5 | ||||
| 159.23 | 148.08 | 164.86 | 74.13 | 82.96 | 50 | 45 | 50 | 26 | 26 | 6 | 4 | 13 | 4 | 16 | ||||
| 240.87 | 151.52 | 150.99 | 55 | 42 | 45 | 14 | 10 | 11 | ||||||||||
| (Data for A) Total Sales Dollars by Day of Week | (Data for B) Number of Sodas Sold by Day of Week | (Data for C) Number of Coffees Sold by Day of Week | ||||||||||||||||
| Bonus Project 3: | ||||||||||||||||||
| The Executive Express managers wish to know if there is a difference in sales between various days of the week. In particular, they would like to know: | ||||||||||||||||||
| A) If the (population) mean Total Sales is the same for all five days of the week, or if at least one day has a significantly different mean, and if so, which are higher or lower than others and by how much | ||||||||||||||||||
| B) If the (population) mean Number of Sodas Sold is the same for all five days of the week, or if at least one day has a significantly different mean, and if so, which are higher or lower than others and by how much | ||||||||||||||||||
| C) If the (population) mean Number of Coffees Sold is the same for all five days of the week, or if at least one day has a significantly different mean, and if so, which are higher or lower than others and by how much | ||||||||||||||||||
| Instructions: To Complete this project, paste the results of your analyses (e.g. tables from StatCrunch) and answers to these questions in a Word document. | ||||||||||||||||||
| 1) State which statistical procedure studied in this course allows you to compare the means of five different groups | ||||||||||||||||||
| 2) Address the manager's question regarding Total Sales (A). | ||||||||||||||||||
| Copy the data from Excel to StatCrunch | ||||||||||||||||||
| Run the appropriate analysis | ||||||||||||||||||
| Answer the questions: | ||||||||||||||||||
| Is there evidence that the mean Total Sales varies among the 5 weekdays? | ||||||||||||||||||
| If so, which means appear to be significantly higher or lower than which others? | ||||||||||||||||||
| Estimate the difference in Total Sales between two days that show statistically significant differences in means, | ||||||||||||||||||
| or state why an estimated difference is not meaningful and therefore not reported | ||||||||||||||||||
| 3) Address the manager's question regarding Number of Sodas Sold (B). | ||||||||||||||||||
| Copy the data from Excel to StatCrunch | ||||||||||||||||||
| Run the appropriate analysis | ||||||||||||||||||
| Answer the questions: | ||||||||||||||||||
| Is there evidence that the mean Number of Sodas sold varies among the 5 weekdays? | ||||||||||||||||||
| If so, which means appear to be significantly higher or lower than which others? | ||||||||||||||||||
| Estimate the difference in Number of Sodas Sold between two days that show statistically significant differences in means, | ||||||||||||||||||
| or state why an estimated difference is not meaningful and therefore not reported | ||||||||||||||||||
| 4) Address the manager's question regarding Number of Coffees Sold (C). | ||||||||||||||||||
| Copy the data from Excel to StatCrunch | ||||||||||||||||||
| Run the appropriate analysis | ||||||||||||||||||
| Answer the questions: | ||||||||||||||||||
| Is there evidence that the mean Number of Coffees sold varies among the 5 weekdays? | ||||||||||||||||||
| If so, which means appear to be significantly higher or lower than which others? | ||||||||||||||||||
| Estimate the difference in Number of Coffees Sold between two days that show statistically significant differences in means, | ||||||||||||||||||
| or state why an estimated difference is not meaningful and therefore not reported | ||||||||||||||||||
| 5) Write one or two sentences that make recommendations to the manager based on the results of your analyses. | ||||||||||||||||||
| Evaluation: | Up to 6 bonus points | |||||||||||||||||
| Work will be evaluated on correct choice of statistical procedure and correct answers to questions | ||||||||||||||||||
| You may do all or part of the assignment. If only some of the analyses are done, partial points will be assigned as appropriate. | ||||||||||||||||||
Ans (A)
| ANOVA: Single Factor | Calculations | ||||||||
| (Data for A) Total Sales Dollars by Day of Week | c | 5 | |||||||
| SUMMARY | n | 48 | |||||||
| Groups | Count | Sum | Average | Variance | |||||
| Tues | 10 | 1935.98 | 193.598 | 840.9138622222 | |||||
| Wed | 10 | 1451.81 | 145.181 | 482.2115877778 | |||||
| Thu | 10 | 1733.04 | 173.304 | 1496.7140711111 | |||||
| Fri | 9 | 822 | 91.3333333333 | 989.773025 | |||||
| Mon | 9 | 1101.11 | 122.3455555556 | 581.0825277778 | |||||
| ANOVA | |||||||||
| Source of Variation | SS | df | MS | F | P-value | F crit | |||
| Between Groups | 52886.4414522222 | 4 | 13221.6103630556 | 14.983 | 0.0000000957 | 2.589 | |||
| Within Groups | 37945.4001122222 | 43 | 882.4511654005 | ||||||
| Total | 90831.8415644444 | 47 | |||||||
| Level of significance | 0.05 | ||||||||
| A) If the (population) mean Total Sales is the same for all five days of the week, or if at least one day has a significantly different mean, and if so, which are higher or lower than others and by how much | |||||||||
| Tukey-Kramer Multiple Comparisons | |||||||||
| Sample | Sample | Sales | Absolute | Std. Error | Critical | ||||
| Group | Mean | Size | Comparison | Difference | of Difference | Range | Results | Days | |
| 1: Tues | 193.598 | 10 | Group 1 to Group 2 | 48.42 | 9.39 | 37.95 | Means are different | Tue-Wed | |
| 2: Wed | 145.181 | 10 | Group 1 to Group 3 | 20.29 | 9.39 | 37.95 | Means are not different | Tue-Thu | |
| 3: Thu | 173.304 | 10 | Group 1 to Group 4 | 102.26 | 9.65 | 38.99 | Means are different | Tue-Fri | |
| 4: Fri | 91.33 | 9 | Group 1 to Group 5 | 71.25 | 9.65 | 38.99 | Means are different | Tue-Mon | |
| 5: Mon | 122.35 | 9 | Group 2 to Group 3 | 28.12 | 9.39 | 37.95 | Means are not different | Wed-Thu | |
| Group 2 to Group 4 | 53.85 | 9.65 | 38.99 | Means are different | Wed-Fri | ||||
| Other Data | Group 2 to Group 5 | 22.84 | 9.65 | 38.99 | Means are not different | Wed-Mon | |||
| Level of significance | 0.05 | Group 3 to Group 4 | 81.97 | 9.65 | 38.99 | Means are different | Thu-Fri | ||
| Numerator d.f. | 5 | Group 3 to Group 5 | 50.96 | 9.65 | 38.99 | Means are different | Thu-Mon | ||
| Denominator d.f. | 43 | Group 4 to Group 5 | 31.01 | 9.90 | 40.00 | Means are not different | Fri-Mon | ||
| MSW | 882.4511654005 | ||||||||
| Q Statistic | 4.04 |
Ans (B)
| Ans (B) | Calculations | ||||||||
| (Data for B) Number of Sodas Sold by Day of Week | c | 5 | |||||||
| SUMMARY | n | 48 | |||||||
| Groups | Count | Sum | Average | Variance | |||||
| Tues | 10 | 399 | 39.9 | 131.2111111111 | |||||
| Wed | 10 | 285 | 28.5 | 120.2777777778 | |||||
| Thu | 10 | 353 | 35.3 | 72.9 | |||||
| Fri | 9 | 151.5 | 16.8333333333 | 31.375 | |||||
| Mon | 9 | 216 | 24 | 48 | |||||
| ANOVA | |||||||||
| Source of Variation | SS | df | MS | F | P-value | F crit | |||
| Between Groups | 2003.6111111111 | 4 | 500.9027777778 | 6.060 | 0.001 | 2.589 | |||
| Within Groups | 3554.5 | 43 | 82.6627906977 | ||||||
| Total | 5558.1111111111 | 47 | |||||||
| Level of significance | 0.05 | ||||||||
| Ans (B) | |||||||||
| Soda | Sample | Sample | Sodas | Absolute | Std. Error | Critical | |||
| Group | Mean | Size | Comparison | Difference | of Difference | Range | Results | Days | |
| 1: Tues | 39.9 | 10 | Group 1 to Group 2 | 11.40 | 2.88 | 11.62 | Means are not different | Tue-Wed | |
| 2: Wed | 28.5 | 10 | Group 1 to Group 3 | 4.60 | 2.88 | 11.62 | Means are not different | Tue-Thu | |
| 3: Thu | 35.3 | 10 | Group 1 to Group 4 | 23.07 | 2.95 | 11.93 | Means are different | Tue-Fri | |
| 4: Fri | 16.83 | 9 | Group 1 to Group 5 | 15.90 | 2.95 | 11.93 | Means are different | Tue-Mon | |
| 5: Mon | 24 | 9 | Group 2 to Group 3 | 6.80 | 2.88 | 11.62 | Means are not different | Wed-Thu | |
| Group 2 to Group 4 | 11.67 | 2.95 | 11.93 | Means are not different | Wed-Fri | ||||
| Other Data | Group 2 to Group 5 | 4.50 | 2.95 | 11.93 | Means are not different | Wed-Mon | |||
| Level of significance | 0.05 | Group 3 to Group 4 | 18.47 | 2.95 | 11.93 | Means are different | Thu-Fri | ||
| Numerator d.f. | 5 | Group 3 to Group 5 | 11.30 | 2.95 | 11.93 | Means are not different | Thu-Mon | ||
| Denominator d.f. | 43 | Group 4 to Group 5 | 7.17 | 3.03 | 12.24 | Means are not different | Fri-Mon | ||
| MSW | 82.6627906977 | ||||||||
| Q Statistic | 4.04 |
Ans (C)
| Ans (C) | Calculations | ||||||||
| (Data for C) Number of Coffees Sold by Day of Week | c | 5 | |||||||
| SUMMARY | n | 48 | |||||||
| Groups | Count | Sum | Average | Variance | |||||
| Tues | 10 | 228 | 22.8 | 128.6222222222 | |||||
| Wed | 10 | 223 | 22.3 | 217.3444444444 | |||||
| Thu | 10 | 228 | 22.8 | 108.4 | |||||
| Fri | 9 | 168 | 18.6666666667 | 117.5 | |||||
| Mon | 9 | 174 | 19.3333333333 | 74.5 | |||||
| ANOVA | |||||||||
| Source of Variation | SS | df | MS | F | P-value | F crit | |||
| Between Groups | -151.6555555556 | 4 | -37.9138888889 | (0.290) | ERROR:#NUM! | 2.589 | |||
| Within Groups | 5625.3 | 43 | 130.8209302326 | ||||||
| Total | 5473.6444444444 | 47 | |||||||
| Level of significance | 0.05 | ||||||||
| Ans (C) | |||||||||
| Coffee | Sample | Sample | Coffee | Absolute | Std. Error | Critical | |||
| Group | Mean | Size | Comparison | Difference | of Difference | Range | Results | Days | |
| 1: Tues | 22.8 | 10 | Group 1 to Group 2 | 0.50 | 3.62 | 14.61 | Means are not different | Tue-Wed | |
| 2: Wed | 22.3 | 10 | Group 1 to Group 3 | - 0 | 3.62 | 14.61 | Means are not different | Tue-Thu | |
| 3: Thu | 22.8 | 10 | Group 1 to Group 4 | 4.13 | 3.72 | 15.01 | Means are not different | Tue-Fri | |
| 4: Fri | 18.67 | 9 | Group 1 to Group 5 | 3.47 | 3.72 | 15.01 | Means are not different | Tue-Mon | |
| 5: Mon | 19.33 | 9 | Group 2 to Group 3 | 0.50 | 3.62 | 14.61 | Means are not different | Wed-Thu | |
| Group 2 to Group 4 | 3.63 | 3.72 | 15.01 | Means are not different | Wed-Fri | ||||
| Other Data | Group 2 to Group 5 | 2.97 | 3.72 | 15.01 | Means are not different | Wed-Mon | |||
| Level of significance | 0.05 | Group 3 to Group 4 | 4.13 | 3.72 | 15.01 | Means are not different | Thu-Fri | ||
| Numerator d.f. | 5 | Group 3 to Group 5 | 3.47 | 3.72 | 15.01 | Means are not different | Thu-Mon | ||
| Denominator d.f. | 43 | Group 4 to Group 5 | 0.67 | 3.81 | 15.40 | Means are not different | Fri-Mon | ||
| MSW | 130.8209302326 | ||||||||
| Q Statistic | 4.04 |
ASFData3
| Tues | Wed | Thu | Fri | Mon |
| 41 | 33 | 34 | 27 | 20 |
| 23 | 32 | 31 | 30 | 27 |
| 30 | 27 | 26 | 24 | 18 |
| 22 | 21 | 28 | 23 | 31 |
| 29 | 48 | 25 | 31 | 25 |
| 35 | 33 | 35 | 16 | 24 |
| 20 | 11 | 21 | 10 | 8 |
| 8 | 4 | 4 | 3 | 5 |
| 6 | 4 | 13 | 4 | 16 |
| 14 | 10 | 11 |
TukeyKramer3
| Ans (C) | ||||||||
| Sample | Sample | Absolute | Std. Error | Critical | ||||
| Group | Mean | Size | Comparison | Difference | of Difference | Range | Results | |
| 1: Tues | 22.8 | 10 | Group 1 to Group 2 | 0.5 | 3.6169176136 | 14.6123471588 | Means are not different | |
| 2: Wed | 22.3 | 10 | Group 1 to Group 3 | 0 | 3.6169176136 | 14.6123471588 | Means are not different | |
| 3: Thu | 22.8 | 10 | Group 1 to Group 4 | 4.1333333333 | 3.7160295974 | 15.0127595736 | Means are not different | |
| 4: Fri | 18.6666666667 | 9 | Group 1 to Group 5 | 3.4666666667 | 3.7160295974 | 15.0127595736 | Means are not different | |
| 5: Mon | 19.3333333333 | 9 | Group 2 to Group 3 | 0.5 | 3.6169176136 | 14.6123471588 | Means are not different | |
| Group 2 to Group 4 | 3.6333333333 | 3.7160295974 | 15.0127595736 | Means are not different | ||||
| Other Data | Group 2 to Group 5 | 2.9666666667 | 3.7160295974 | 15.0127595736 | Means are not different | |||
| Level of significance | 0.05 | Group 3 to Group 4 | 4.1333333333 | 3.7160295974 | 15.0127595736 | Means are not different | ||
| Numerator d.f. | 5 | Group 3 to Group 5 | 3.4666666667 | 3.7160295974 | 15.0127595736 | Means are not different | ||
| Denominator d.f. | 43 | Group 4 to Group 5 | 0.6666666667 | 3.8125659227 | 15.4027663276 | Means are not different | ||
| MSW | 130.8209302326 | |||||||
| Q Statistic | 4.04 |
ANOVA3
| Ans (C) | Calculations | ||||||||
| c | 5 | ||||||||
| SUMMARY | n | 48 | |||||||
| Groups | Count | Sum | Average | Variance | |||||
| Tues | 10 | 228 | 22.8 | 128.6222 | |||||
| Wed | 10 | 223 | 22.3 | 217.3444 | |||||
| Thu | 10 | 228 | 22.8 | 108.4000 | |||||
| Fri | 9 | 168 | 18.6666666667 | 117.5000 | |||||
| Mon | 9 | 174 | 19.3333333333 | 74.5000 | |||||
| ANOVA | |||||||||
| Source of Variation | SS | df | MS | F | P-value | F crit | |||
| Between Groups | -151.6556 | 4 | -37.9139 | -0.2898 | ERROR:#NUM! | 2.5888 | |||
| Within Groups | 5625.3000 | 43 | 130.8209 | ||||||
| Total | 5473.6444 | 47 | |||||||
| Level of significance | 0.05 | ||||||||
ASFData2
| Tues | Wed | Thu | Fri | Mon |
| 20 | 13 | 23 | 13 | 13 |
| 33 | 15 | 27 | 12 | 19 |
| 33 | 20 | 29 | 14 | 17 |
| 31 | 24 | 31 | 15 | 26 |
| 39 | 24 | 35 | 11 | 25 |
| 36 | 33 | 37 | 22 | 36 |
| 54 | 34 | 43 | 14.5 | 24 |
| 48 | 35 | 33 | 24 | 30 |
| 50 | 45 | 50 | 26 | 26 |
| 55 | 42 | 45 |
TukeyKramer2
| Ans (B) | ||||||||
| Sample | Sample | Absolute | Std. Error | Critical | ||||
| Group | Mean | Size | Comparison | Difference | of Difference | Range | Results | |
| 1: Tues | 39.9 | 10 | Group 1 to Group 2 | 11.4 | 2.875113749 | 11.615459546 | Means are not different | |
| 2: Wed | 28.5 | 10 | Group 1 to Group 3 | 4.6 | 2.875113749 | 11.615459546 | Means are not different | |
| 3: Thu | 35.3 | 10 | Group 1 to Group 4 | 23.0666666667 | 2.9538985758 | 11.9337502461 | Means are different | |
| 4: Fri | 16.8333333333 | 9 | Group 1 to Group 5 | 15.9 | 2.9538985758 | 11.9337502461 | Means are different | |
| 5: Mon | 24 | 9 | Group 2 to Group 3 | 6.8 | 2.875113749 | 11.615459546 | Means are not different | |
| Group 2 to Group 4 | 11.6666666667 | 2.9538985758 | 11.9337502461 | Means are not different | ||||
| Other Data | Group 2 to Group 5 | 4.5 | 2.9538985758 | 11.9337502461 | Means are not different | |||
| Level of significance | 0.05 | Group 3 to Group 4 | 18.4666666667 | 2.9538985758 | 11.9337502461 | Means are different | ||
| Numerator d.f. | 5 | Group 3 to Group 5 | 11.3 | 2.9538985758 | 11.9337502461 | Means are not different | ||
| Denominator d.f. | 43 | Group 4 to Group 5 | 7.1666666667 | 3.030635993 | 12.2437694117 | Means are not different | ||
| MSW | 82.6627906977 | |||||||
| Q Statistic | 4.04 |
ANOVA2
| Ans (B) | Calculations | ||||||||
| c | 5 | ||||||||
| SUMMARY | n | 48 | |||||||
| Groups | Count | Sum | Average | Variance | |||||
| Tues | 10 | 399 | 39.9 | 131.2111 | |||||
| Wed | 10 | 285 | 28.5 | 120.2778 | |||||
| Thu | 10 | 353 | 35.3 | 72.9000 | |||||
| Fri | 9 | 151.5 | 16.8333333333 | 31.3750 | |||||
| Mon | 9 | 216 | 24 | 48.0000 | |||||
| ANOVA | |||||||||
| Source of Variation | SS | df | MS | F | P-value | F crit | |||
| Between Groups | 2003.6111 | 4 | 500.9028 | 6.0596 | 0.0006 | 2.5888 | |||
| Within Groups | 3554.5000 | 43 | 82.6628 | ||||||
| Total | 5558.1111 | 47 | |||||||
| Level of significance | 0.05 | ||||||||
ASFData
| Tues | Wed | Thu | Fri | Mon |
| 199.95 | 195.74 | 102.68 | 162.88 | 101.76 |
| 186.94 | 120.18 | 228.78 | 88.02 | 119.57 |
| 172.31 | 137.65 | 197.56 | 70 | 97 |
| 181.43 | 125.57 | 180.63 | 75.87 | 150.51 |
| 177.41 | 153.84 | 205.36 | 118.54 | 138.04 |
| 236.01 | 149.58 | 206.17 | 93.1 | 151.91 |
| 217.29 | 148.24 | 168.08 | 77.52 | 130.77 |
| 164.54 | 121.41 | 127.93 | 61.94 | 128.59 |
| 159.23 | 148.08 | 164.86 | 74.13 | 82.96 |
| 240.87 | 151.52 | 150.99 |
TukeyKramer
| Tukey-Kramer Multiple Comparisons | ||||||||
| Sample | Sample | Absolute | Std. Error | Critical | ||||
| Group | Mean | Size | Comparison | Difference | of Difference | Range | Results | |
| 1: Tues | 193.598 | 10 | Group 1 to Group 2 | 48.417 | 9.3938871901 | 37.9513042479 | Means are different | |
| 2: Wed | 145.181 | 10 | Group 1 to Group 3 | 20.294 | 9.3938871901 | 37.9513042479 | Means are not different | |
| 3: Thu | 173.304 | 10 | Group 1 to Group 4 | 102.2646666667 | 9.6513016228 | 38.9912585562 | Means are different | |
| 4: Fri | 91.3333333333 | 9 | Group 1 to Group 5 | 71.2524444444 | 9.6513016228 | 38.9912585562 | Means are different | |
| 5: Mon | 122.3455555556 | 9 | Group 2 to Group 3 | 28.123 | 9.3938871901 | 37.9513042479 | Means are not different | |
| Group 2 to Group 4 | 53.8476666667 | 9.6513016228 | 38.9912585562 | Means are different | ||||
| Other Data | Group 2 to Group 5 | 22.8354444444 | 9.6513016228 | 38.9912585562 | Means are not different | |||
| Level of significance | 0.05 | Group 3 to Group 4 | 81.9706666667 | 9.6513016228 | 38.9912585562 | Means are different | ||
| Numerator d.f. | 5 | Group 3 to Group 5 | 50.9584444444 | 9.6513016228 | 38.9912585562 | Means are different | ||
| Denominator d.f. | 43 | Group 4 to Group 5 | 31.0122222222 | 9.9020265344 | 40.0041871992 | Means are not different | ||
| MSW | 882.4511654005 | |||||||
| Q Statistic | 4.04 |
ANOVA
| ANOVA: Single Factor | Calculations | ||||||||
| c | 5 | ||||||||
| SUMMARY | n | 48 | |||||||
| Groups | Count | Sum | Average | Variance | |||||
| Tues | 10 | 1935.98 | 193.598 | 840.9139 | |||||
| Wed | 10 | 1451.81 | 145.181 | 482.2116 | |||||
| Thu | 10 | 1733.04 | 173.304 | 1496.7141 | |||||
| Fri | 9 | 822 | 91.3333333333 | 989.7730 | |||||
| Mon | 9 | 1101.11 | 122.3455555556 | 581.0825 | |||||
| ANOVA | |||||||||
| Source of Variation | SS | df | MS | F | P-value | F crit | |||
| Between Groups | 52886.4415 | 4 | 13221.6104 | 14.9828 | 0.0000 | 2.5888 | |||
| Within Groups | 37945.4001 | 43 | 882.4512 | ||||||
| Total | 90831.8416 | 47 | |||||||
| Level of significance | 0.05 | ||||||||