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 season
 Test the total amount of boats rented out for
30 Saturdays and 30 Sundays
 Test the total amount of cash/charge made
for the day
 Hypothesis: 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 Township
 Summary 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
Data
Sunday
Date
Day
TotalCa...
TotalRe ...
units
DateTime
1
06/28/2009
1970.52
157
2
08/09/2009
427.18
34
3
10/04/2009
844.82
64
4
10/11/2009
361.46
29
5
05/31/2009
1398.14
118
6
06/21/2009
598.90
52
7
08/31/2008
3034.78
202
8
05/10/2009
408.10
38
9
05/17/2009
0.00
0
10
06/07/2009
2191.02
163
11
06/14/2009
1351.02
96
12
06/17/2007
2279.00
154
13
05/03/2009
321.18
29
14
07/05/2009
2625.62
187
15
07/12/2009
2220.70
182
16
09/13/2009
1227.48
98
17
07/15/2007
2625.62
187
18
09/21/2008
957.18
71
19
10/12/2008
809.84
64
20
09/28/2008
13.78
1
21
09/14/2008
800.30
62
22
09/20/2009
402.80
32
23
06/10/2007
870.26
66
24
08/30/3009
2115.20
145
25
08/16/2009
1358.64
97
26
07/19/2009
2943.62
194
27
09/27/2009
0.00
0
28
05/24/2009
2436.94
186
29
10/05/2008
273.48
22
30
10/18/2008
174.32
18
<ne w >
Data
Saturday
Date
Day
TotalCa...
TotalRe ...
units
DateTime
1
08/15/2009
1601.10
123
2
09/19/2009
1125.72
86
3
10/03/2009
0.00
0
4
10/10/2009
0.00
0
5
07/18/2009
2680.96
170
6
06/16/2007
1621.82
104
7
07/25/2009
2228.25
153
8
05/09/2009
843.30
39
9
06/06/2009
1357.48
77
10
05/16/2009
419.24
18
11
06/13/2009
661.98
37
12
06/02/2007
941.28
76
13
05/23/2009
1882.56
130
14
07/11/2009
1852.88
129
15
07/04/2009
2466.62
184
16
06/26/2009
1336.66
106
17
05/30/2009
981.59
71
18
06/09/2007
993.22
80
19
09/26/2009
175.96
12
20
09/05/2009
2779.32
222
21
08/29/2009
504.56
44
22
08/11/2007
1089.98
140
23
08/18/2007
1631.34
139
24
10/04/2008
229.42
14
25
09/27/2008
31.80
3
26
09/20/2008
652.96
49
27
08/30/2008
1033.50
77
28
09/13/2008
617.98
47
29
06/23/2007
1631.82
107
30
05/30/2009
962.26
80
<ne w >
Exploratory Data Analysis
Saturday Total Profit
Saturday
1144.52
0
617.98
TotalCashChargeSat
1013.36
1631.34
2779.32
777.846
S1
S2
S3
S4
S5
S6
S7
=
=
=
=
=
=
=
mean
min
Q1
median
Q3
max
s
Exploratory Data Analysis
Saturday 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 Analysis
Saturday Total Boat Rentals
Saturday
83.9
0
39
TotalRentalsSat
78.5
129
222
58.234
S1
S2
S3
S4
S5
S6
S7
=
=
=
=
=
=
=
mean
min
Q1
median
Q3
max
s
Exploratory Data Analysis
Saturday 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 Analysis
Sunday Total Profit
Sunday
1234.73
0
402.8
TotalCashChargeSun
913.72
2191.02
3034.78
967.984
S1 =
S2 =
S3 =
S4 =
S5 =
S6 =
S7 =
mean
min
Q1
median
Q3
max
s
Exploratory Data Analysis
SundayTotal 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 Analysis
Sunday Total Boat Rentals
Sunday
91.6
0
32
TotalRentalSun
68.5
157
202
67.6566
S1
S2
S3
S4
S5
S6
S7
=
=
=
=
=
=
=
mean
min
Q1
median
Q3
max
s
Exploratory Data Analysis
Sunday 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

Assumption
 SRS
 2 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
 sat 
  sun
2 Sample T-Test #1
Comparing average profit made
between Saturday and Sunday
 Hypothesis
 Ho

 sat   sun

Ha
 sat   sun
2 Sample T-Test #1
x
= -0.3979
s
n

t =

P(t<-0.3979|df=56) = 0.3461
2 Sample T-Test #1

Conclusions
 We 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
( xsat  xsun )  t * (s / n )

(-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.

2 Sample T-Test #2
Comparing the average total boats
rented between Saturday and Sunday
 Hypothesis
 Ho

 sat   sun

Ha
 sat   sun
2 Sample T-Test #2
x
= -0.4725
s
n

t =

P(t<-0.4725|df=56) = 0.3192
2 Sample T-Test #2

Conclusions
 We 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
( xsat  xsun )  t * (s / n )
 (-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.

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 random
 Not all records available

Does not only rent boats
 It 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