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)Humidity (%) C10170 C C C C Soph. House7054 C C C C C C C C Forum7067 School Store7068 A Library7071 Room #Temperature (˚F)Humidity (%) B B B234F7268 B A.D. Office70 Aux. Gym7067 D Women's Locker7076 Men's Locker7077 Fitness7072 C C C C31770 C C C33070

Whole Temperature Graph Mean = 70.6 N = 35 Median = 70 Standard deviation =.9762 Number of rooms Temperature (ºF)

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° P(t<-8.485|df=34) = X We reject Ho in favor of Ha because the p-value of X < α =.05. We have sufficient evidence that the mean temperature in the school does not equal 72°. t=

Confidence Interval Test at 95% level (70.265, ) We are 95% confident that the mean of the temperature of the whole school is between ° and °

Outlier Test  1.5 (71-67) = 6 67 – 6 = 61% = 77%  Anything below 61% and above 77% are outliers 2 outliers: 53% and 54%

Humidity of whole school % 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-test Humidity Ho:µ = 77% Ha:µ < 77% P (t < -9.85| df = 34) = 8.57 x We reject Ho in favor of Ha because the p-value of 8.57 x is < α =.05. We have sufficient evidence that the average humidity inside of the school is less than that outside of the school. = -9.85

Confidence Interval 95 % test (67.212, 70.56) We are 95% confident that the average humidity inside of the school is between and 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 n 1 and n 2 > 30 Check 2 SRS taken using calculator Small population so took 30%-part of our error

Data from Left sample Room #Temperature (˚F)Humidity (%) C C C C Soph. House7054 Sen. House7068 C C C C C C Library7071 B B B C31770 C C C

Data From Right sample Room #Temperature (˚F)Humidity (%) C C C C C C C C Gym7067 Men's Locker7077 Fitness7072 C32070 C C C C32770 C32470

Left and Right Temperature Graphs Number of rooms Left Side Mean= 70.3 N = 20 Median = 70 Standard deviation =.714 Temperature (ºF) Temperature (ºF) Right Side Mean = 71 N = 17 Median = 70 Standard deviation = 1.08 Number of rooms

Two sample T-test Temperature Ho: µ right = µ left Ha: µ right < µ left P(t < |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. =2.209

Confidence Interval Test at 95% level (.04973, ) 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 °.

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 n 1 and n 2 > 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 = = 78  Anything below 62% and above 78% on the left are outliers One outlier: 54%  1.5 ( ) = – 8.25 = =  Anything below 57.75% and above 79.75% on the right are outliers

Left Side Right Side Left vs Right Humidity Graphs %

Two sample t-test Humidity Ho: µ right = µ left Ha: µ right < µ left 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. = -.217

Confidence Interval 95% level (-2.821, ) We are 95 % confident that the difference between the mean of humidity on the right side and the left side is between % and % 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.