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