project mamanjment

profilejust-for-me-2014
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa.xlsx

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