Temperature and Humidity
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Transcript Temperature and Humidity
Temperature and Humidity
By: Nicole Adams, and
Amy Schaefer
Tired of feeling hot and cold?
•Hot in one classroom
•Cold in another
•Wanted to test if the temperatures throughout the
school are different
•Applies to all of us because we don’t know what we
need to wear
•If we should bring sweatshirts, or if we are going to
be sweating all day
•We are the ones sitting in school all day
•Can affect learning abilities
•If a student is not comfortable
Procedure
• Numbered Classrooms
• Took a SRS of the whole school (35)
• Split left and right
– Took 2 individual SRS (30% of classrooms)
• 20/68- left , 17/55-right
• Recorded temperature and humidity of rooms
– Wednesday 6/4/08 first block
Data from whole School
Room #
Temperature
(˚F)
Room #
Humidity (%)
Temperature (˚F)
Humidity (%)
B207
70
68
B216
72
70
B234F
72
68
B228
72
69
A.D. Office
70
70
54
Aux. Gym
70
67
72
64
D204
70
74
C135
72
64
Women's Locker
70
76
C128
73
66
Men's Locker
70
77
C126
72
66
Fitness
70
72
C216
70
71
C305
70
75
C233
72
70
C306
70
73
C228
72
70
C311
70
72
C229
72
69
Forum
70
67
C317
70
70
School Store
70
68
C321
70
71
A208
70
68
C332
70
73
Library
70
71
C330
70
70
C101
70
70
C102
70
69
C104
70
69
C106
70
67
C118
70
53
Soph. House
70
C134
Whole Temperature Graph
25
Number
of rooms
Mean = 70.6
9
N = 35
1
Median = 70
70
72
Temperature (ºF)
73
Standard deviation
= .9762
Question
Does the temperature match
what the average school
temperature is?
Assumptions
• SRS
• normal populations n > 30
Check
• SRS taken using calculator
• n = 35 > 30
T-Test
Temperature
Ho: µ=72°
Ha: µ≠72°
t
x
s
n
= -8.485
P(t<-8.485|df=34) = 6.566 X 10-10
We reject Ho in favor of Ha because the p-value of
6.566 X 10-10 < α = .05. We have sufficient evidence
that the mean temperature in the school does not
equal 72°.
Confidence Interval
• Test at 95% level
xt* s
n
• (70.265, 70.935)
• We are 95% confident that the mean of the
temperature of the whole school is between
70.265° and 70.935°
Outlier Test
1.5 (71-67) = 6
• 67 – 6 = 61%
• 71 + 6 = 77%
Anything below 61% and above 77% are
outliers
• 2 outliers: 53% and 54%
Humidity of whole school
53
64
67
% Humidity
70
71
77
Question
Is the outside humidity higher than
the average humidity of the
inside of the school of classrooms
in everyday use?
Assumptions
• SRS
• normal populations n > 30
Check
• SRS taken using calculator
• n = 35 > 30
T-test
Humidity
Ho:µ = 77%
Ha:µ < 77%
x
t
s
n
= -9.85
P (t < -9.85| df = 34) = 8.57 x 10-12
We reject Ho in favor of Ha because the p-value of 8.57
x 10-12 is < α = .05. We have sufficient evidence that
the average humidity inside of the school is less than
that outside of the school.
Confidence Interval
95 % test
xt* s
n
(67.212, 70.56)
We are 95% confident that the average humidity
inside of the school is between 67.212 and
70.56 degrees.
Question
Is the temperature on the left side
of the school warmer than on the
right side of the school?
Assumptions
• 2 independent SRS
• 2 normal populations or n1 and n2 > 30
Check
• 2 SRS taken using calculator
• Small population so took 30%-part of our
error
Data from Left sample
Room #
Temperature (˚F)
Humidity (%)
C102
70
69
C103
70
68
C112
70
68
C114
72
67
Soph. House
70
54
Sen. House
70
68
C218
70
71
C216
70
71
C206
70
71
C202
70
69
C211
70
72
C212
70
72
Library
70
71
B207
70
68
B214
72
73
B224
72
68
C317
70
70
C307
70
75
C301
70
72
C312
70
72
Data From Right sample
Room #
Temperature (˚F)
Humidity (%)
C120
72
65
C121
72
67
C128
73
66
C127
72
66
C126
72
66
C124
72
64
C233
72
70
C232
72
69
Gym
70
67
Men's Locker
70
77
Fitness
70
72
C320
70
70
C321
70
71
C333
70
73
C332
70
73
C327
70
70
C324
70
70
Left and Right Temperature Graphs
Left Side
Right Side
Mean= 70.3
Mean = 71
N = 20
N = 17
Median = 70
Median = 70
Standard deviation = .714
Standard deviation = 1.08
17
9
7
Number
of rooms
Number of
rooms
1
3
70
70
72
Temperature (ºF)
72
Temperature (ºF)
73
Two sample T-test
Temperature
Ho: µright = µleft
Ha: µright < µleft
t
x1 x 2
2
2
s1
s
2
n1 n2
=2.209
P(t < 2.209 |df=26.81) = .9821
We fail to reject Ho in favor of Ha because the p-value
of .9821 is > than α = .05. We have sufficient
evidence that the mean of right side of temperature
is not less than the mean of the left side
temperature.
Confidence Interval
• Test at 95% level
2
2
s1
s2
x1 x 2 t *
n1 n2
• (.04973, 1.3505)
• We are 95% confident that the difference
between the mean of the temperature on the
right side and the left side is between .04973°
and 1.3505°.
Question
Is the humidity on the right side of
the school less than the humidity
on the left side of the school?
Assumptions
• 2 independent SRS
• 2 normal populations or n1 and n2 > 30
Check
• 2 SRS taken using calculator
• Small population so took 30%-part of our
error
Outlier Test
1.5 (72-68) = 6
• 68 – 6 = 62
• 72 + 6 = 78
Anything below 62% and above 78% on the left are
outliers
• One outlier: 54%
1.5 (71.5-66) = 8.25
• 66 – 8.25 = 57.75
• 71.5 + 8.25 = 79.75
Anything below 57.75% and above 79.75% on the
right are outliers
Left vs Right Humidity Graphs
Left Side
%
54
Right Side
64
66
70
72
75
77
Two sample t-test
Humidity
Ho: µright = µleft
Ha: µright < µleft
t
x1 x 2
2
2
s1
s2
n1 n2
= -.217
P (t < -.217| df=34.96) = .4143
We fail to reject Ho in favor of Ha because the p-value
of .4143 is > α = .05. We have sufficient evidence
that the humidity on the right side of the school is
not less than that on the left side of the school.
Confidence Interval
95% level
2
2
s1
s2
x1 x 2 t *
n1 n2
(-2.821, 2.2738)
We are 95 % confident that the difference
between the mean of humidity on the right
side and the left side is between -2.821% and
2.2738 % humidity
Personal Opinions
• Thought right was cooler because sun hit the left in
the morning
• First thought temperature changed but humidity’s
were changing
• Mr. Lafferty’s classroom compared to Boy’s Locker
room
• Found it interesting that temperatures did not fit
what the school claims to be, a bit cooler
• Rooms being cold and hot are in our heads but the
humidity is what is changing.
Errors/Bias
• Population is very small- 123 rooms (everyday use)
• Time of day/position of the sun (could change throughout the
day)
• Different set temperatures around the school
• Thermometer only adjusted in room for 30 seconds
• If students were in the room or not
• Could change day to day since humidity was changing
– Wednesday was humid and wet out.