Bill Reilly Dan Park. Peace Valley Boat Rental Opens first Saturday of May every year Closes in...
-
Upload
erika-joella-ramsey -
Category
Documents
-
view
215 -
download
0
Transcript of Bill Reilly Dan Park. Peace Valley Boat Rental Opens first Saturday of May every year Closes in...
PEACE VALLEY BOAT RENTAL
STATISTICS
Bill Reilly
Dan Park
Peace Valley Boat Rental Opens first Saturday of
May every year Closes in mid October Offers moorings,
permits, lessons, programs, and boat rentals including: Single/double kayaks Paddleboats Canoes Aquafins Daysailors Rowboats
Purpose
To see if Saturdays or Sundays are busier during the seasonTest the total amount of boats rented out for
30 Saturdays and 30 SundaysTest the total amount of cash/charge made
for the dayHypothesis: Sundays are busier than
Saturdays
Procedure and Data Collection
60 total summary sheets were collected from the Bucks County Department of Parks and Recreation located at 510 Creek Road, New Britain TownshipSummary sheets contain the total amount of
boats rented out for a given day and the total amount of money made, cash and charge amounts
Procedure and Data Collection
Dates, total rentals, and total profits for the 30 Saturdays and Sundays were recorded in Fathom
Exploratory Analysis includes histograms, charts, and summaries
Procedure and Data Collection
Tests:2 Sample T-Tests
○ Comparing total average profits between Saturday and Sunday
○ Comparing average number of boat rentals between Saturday and Sunday
Confidence Intervals for both tests
DataSunday
units
Date Day TotalCa... TotalRe... <new>
DateTime
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
06/28/2009 1970.52 157
08/09/2009 427.18 34
10/04/2009 844.82 64
10/11/2009 361.46 29
05/31/2009 1398.14 118
06/21/2009 598.90 52
08/31/2008 3034.78 202
05/10/2009 408.10 38
05/17/2009 0.00 0
06/07/2009 2191.02 163
06/14/2009 1351.02 96
06/17/2007 2279.00 154
05/03/2009 321.18 29
07/05/2009 2625.62 187
07/12/2009 2220.70 182
09/13/2009 1227.48 98
07/15/2007 2625.62 187
09/21/2008 957.18 71
10/12/2008 809.84 64
09/28/2008 13.78 1
09/14/2008 800.30 62
09/20/2009 402.80 32
06/10/2007 870.26 66
08/30/3009 2115.20 145
08/16/2009 1358.64 97
07/19/2009 2943.62 194
09/27/2009 0.00 0
05/24/2009 2436.94 186
10/05/2008 273.48 22
10/18/2008 174.32 18
DataSaturday
units
Date Day TotalCa... TotalRe... <new>
DateTime
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
08/15/2009 1601.10 123
09/19/2009 1125.72 86
10/03/2009 0.00 0
10/10/2009 0.00 0
07/18/2009 2680.96 170
06/16/2007 1621.82 104
07/25/2009 2228.25 153
05/09/2009 843.30 39
06/06/2009 1357.48 77
05/16/2009 419.24 18
06/13/2009 661.98 37
06/02/2007 941.28 76
05/23/2009 1882.56 130
07/11/2009 1852.88 129
07/04/2009 2466.62 184
06/26/2009 1336.66 106
05/30/2009 981.59 71
06/09/2007 993.22 80
09/26/2009 175.96 12
09/05/2009 2779.32 222
08/29/2009 504.56 44
08/11/2007 1089.98 140
08/18/2007 1631.34 139
10/04/2008 229.42 14
09/27/2008 31.80 3
09/20/2008 652.96 49
08/30/2008 1033.50 77
09/13/2008 617.98 47
06/23/2007 1631.82 107
05/30/2009 962.26 80
Exploratory Data AnalysisSaturday Total Profit
Saturday
TotalCashChargeSat
1144.52
0
617.98
1013.36
1631.34
2779.32
777.846
S1 = meanS2 = minS3 = Q1S4 = medianS5 = Q3S6 = maxS7 = s
1
2
3
4
5
6
0 500 1000 1500 2000 2500 3000 3500
TotalCashChargeSat
Saturday Histogram
Exploratory Data AnalysisSaturday Total Profit
Shape: Somewhat normal Center:1144.52 Spread: Gaps, (0, 2779.32) The Peace Valley Park Boat Rentals has
a profit range of $0 to $2779.32 on Saturdays
The Peace Valley Park Boat Rentals makes an average profit of $1144.52 on every Saturdays
Exploratory Data AnalysisSaturday Total Boat Rentals
1
2
3
4
5
6
7
0 50 100 150 200 250 300
TotalRentalsSat
Saturday Histogram Saturday
TotalRentalsSat
83.9
0
39
78.5
129
222
58.234
S1 = meanS2 = minS3 = Q1S4 = medianS5 = Q3S6 = maxS7 = s
Exploratory Data AnalysisSaturday Total Boat Rentals
Shape: Right Skew Center:83.9 Spread: (0, 58.234) Gaps The Peace Valley Park Boat Rentals has
a boat rental range from 0 to 58 boats on Saturdays
The Peace Valley Park Boat Rentals rents 84 boats on average on Saturdays
Exploratory Data AnalysisSunday Total Profit
1
2
3
4
5
6
0 500 1000 1500 2000 2500 3000 3500
TotalCashChargeSun
Sunday Histogram Sunday
TotalCashChargeSun
1234.73
0
402.8
913.72
2191.02
3034.78
967.984
S1 = meanS2 = minS3 = Q1S4 = medianS5 = Q3S6 = maxS7 = s
Exploratory Data AnalysisSundayTotal Profit
Shape: Approximately normal Center:1243.73 Spread: Gaps, (0, 3034.78) The Peace Valley Park Boat Rentals has
a profit range of $0 to $3034.74 on Sundays.
The Peace Valley Park Boat Rentals makes an average profit of $1243.73 on every Sundays
Exploratory Data AnalysisSunday Total Boat Rentals
1
2
3
4
5
6
7
0 50 100 150 200 250
TotalRentalSun
Sunday Histogram Sunday
TotalRentalSun
91.6
0
32
68.5
157
202
67.6566
S1 = meanS2 = minS3 = Q1S4 = medianS5 = Q3S6 = maxS7 = s
Exploratory Data AnalysisSunday Total Boat Rentals
Shape: Slight Right Skew or Approximately Normal
Center:91.6 Spread: (0, 67.657) Gaps The Peace Valley Park Boat Rentals has
a boat rental range from 0 to 68boats on Sundays
The Peace Valley Park Boat Rentals rents 92 boats on average on Sundays
Assumptions for 2 Sample T-Test and Confidence Intervals
AssumptionSRS2 Independent Normal Population or n1 and
n2 is greater or equal to 30 Check
The data was randomized by a software(Calculator)
n1 and n2 is equal to 30
2 Sample T-Test #1
Comparing average profit made between Saturday and Sunday
Hypothesis Ho
Ha
sunsat
sunsat
sunsat
sunsat
2 Sample T-Test #1
t = = -0.3979
P(t<-0.3979|df=56) = 0.3461
nsx
2 Sample T-Test #1
ConclusionsWe fail to reject Ho because P-value is
greater than We have sufficient evidence that the
average total cash made on Saturday is equal to the average total cash made on Sunday
2 Sample T-Confidence Interval #1
(-544.5, 364.06) We are 95% confident that the difference
of average total cash made on Saturday and Sunday is between -544.50 and 364.06 dollars.
The interval contains 0. Therefore, the test is correct that it shows that there is no difference between Saturday and Sunday.
)/(*)( nstxx sunsat
2 Sample T-Test #2
Comparing the average total boats rented between Saturday and Sunday
Hypothesis Ho
Hasunsat
sunsat
2 Sample T-Test #2
t = = -0.4725
P(t<-0.4725|df=56) = 0.3192
nsx
2 Sample T-Test #2
ConclusionsWe fail to reject Ho because P-value is
greater than We have sufficient evidence that the
average total boat rentals made on Saturday is equal to the average total boats rented on Sunday
2 Sample T-Confidence Interval #2
(-40.34, 24,94) We are 95% confident that the difference of
average total boat rentals made on Saturday and Sunday is between -40.34 and 24.94 Boats.
The interval contains 0. Therefore, the test is correct that it shows that there is no difference between Saturday and Sunday.
)/(*)( nstxx sunsat
Application
Peace Valley Park Boat Rentals make the same average amount of profit on Saturday and Sunday
Peace Valley Park Boat Rentals rent out the same amount of average boats on Saturday and Sunday.
Bias/Errors
Incomplete or inaccurate records Weather not taken into consideration
Considerably less people rent boats when the weather is bad
Not completely randomNot all records available
Does not only rent boatsIt sells boat permits and moorings
Personal Opinions/Conclusions
I thought the project was overall hard and tedious It was very surprising to find out that the average
profits and the average total boats rented out on Saturday and Sunday were the same. We thought Sunday would be busier
I think more time would have been better, especially for our topic because there were a lot of papers that we had to go through
Overall the project was a good learning experience about the Peace Valley Park Boat Renting Place and its business