Post on 23-Dec-2015
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 SchoolRoom #
Temperature (˚F) Humidity (%)
C101 70 70
C102 70 69
C104 70 69
C106 70 67
C118 70 53
Soph. House 70 54
C134 72 64
C135 72 64
C128 73 66
C126 72 66
C216 70 71
C233 72 70
C228 72 70
C229 72 69
Forum 70 67
School Store 70 68
A208 70 68
Library 70 71
Room # Temperature (˚F) Humidity (%)
B207 70 68
B216 72 70
B234F 72 68
B228 72 69
A.D. Office 70 70
Aux. Gym 70 67
D204 70 74
Women's Locker 70 76
Men's Locker 70 77
Fitness 70 72
C305 70 75
C306 70 73
C311 70 72
C317 70 70
C321 70 71
C332 70 73
C330 70 70
Whole Temperature Graph
Mean = 70.6
N = 35
Median = 70
Standard deviation = .9762
Number of rooms
Temperature (ºF)
25
9
1
70 72 73
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-TestTemperature
Ho: µ=72°Ha: µ≠72°
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°.
nsx
t = -8.485
Confidence Interval
• Test at 95% level
• (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°
nstx *
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 70 71 77
% Humidity
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-testHumidity
Ho:µ = 77% Ha:µ < 77%
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.
nsx
t
= -9.85
Confidence Interval
95 % test
(67.212, 70.56)We are 95% confident that the average humidity
inside of the school is between 67.212 and 70.56 degrees.
nstx *
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 sampleRoom # 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 sampleRoom # 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
Number of rooms
Left Side
Mean= 70.3
N = 20
Median = 70
Standard deviation = .714
Temperature (ºF)
17
3
70 72 Temperature (ºF)
9
7
1
70 72 73
Right Side
Mean = 71
N = 17
Median = 70
Standard deviation = 1.08
Number of rooms
Two sample T-test Temperature
Ho: µright = µleft
Ha: µright < µleft
P(t < 2.209 |df=26.81) = .9821We 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.
2
22
1
21
21
n
s
n
s
xxt
=2.209
Confidence Interval
• Test at 95% level
• (.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°.
2
22
1
21
21 *n
s
n
stxx
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
54 64 66 70 72 75 77
Left Side
Right Side
Left vs Right Humidity Graphs
%
Two sample t-testHumidity
Ho: µright = µleft
Ha: µright < µleft
P (t < -.217| df=34.96) = .4143We 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.
2
22
1
21
21
n
s
n
s
xxt
= -.217
Confidence Interval
95% level
(-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
2
22
1
21
21 *n
s
n
stxx
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.