1. Temperature and Humidity By: Nicole Adams, and Amy Schaefer

2. 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

3. 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

4. Data from whole School Room # Temperature (˚F)Humidity (%) C10170 C1027069 C1047069 C1067067 C1187053 Soph. House7054 C1347264 C1357264 C1287366 C1267266 C2167071 C2337270 C2287270 C2297269 Forum7067 School Store7068 A2087068 Library7071 Room #Temperature (˚F)Humidity (%) B2077068 B2167270 B234F7268 B2287269 A.D. Office70 Aux. Gym7067 D2047074 Women's Locker7076 Men's Locker7077 Fitness7072 C3057075 C3067073 C3117072 C31770 C3217071 C3327073 C33070

5. Whole Temperature Graph Mean = 70.6 N = 35 Median = 70 Standard deviation =.9762 Number of rooms Temperature (ºF) 25 9 1 70 7273

6. Question Does the temperature match what the average school temperature is?

7. Assumptions SRS normal populations n > 30 Check SRS taken using calculator n = 35 > 30

8. T-Test Temperature 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°. t= -8.485

9. 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°

10. 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%

11. Humidity of whole school 536467707177 % Humidity

12. Question Is the outside humidity higher than the average humidity of the inside of the school of classrooms in everyday use?

13. Assumptions SRS normal populations n > 30 Check SRS taken using calculator n = 35 > 30

14. T-test Humidity 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. = -9.85

15. 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.

16. Question Is the temperature on the left side of the school warmer than on the right side of the school?

17. 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

18. Data from Left sample Room #Temperature (˚F)Humidity (%) C1027069 C1037068 C1127068 C1147267 Soph. House7054 Sen. House7068 C2187071 C2167071 C2067071 C2027069 C2117072 C2127072 Library7071 B2077068 B2147273 B2247268 C31770 C3077075 C3017072 C3127072

19. Data From Right sample Room #Temperature (˚F)Humidity (%) C1207265 C1217267 C1287366 C1277266 C1267266 C1247264 C2337270 C2327269 Gym7067 Men's Locker7077 Fitness7072 C32070 C3217071 C3337073 C3327073 C32770 C32470

20. Left and Right Temperature Graphs Number of rooms Left Side Mean= 70.3 N = 20 Median = 70 Standard deviation =.714 Temperature (ºF) 17 3 7072Temperature (ºF) 9 7 1 707273 Right Side Mean = 71 N = 17 Median = 70 Standard deviation = 1.08 Number of rooms

21. Two sample T-test Temperature Ho: µ right = µ left Ha: µ right < µ left 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. =2.209

22. 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°.

23. Question Is the humidity on the right side of the school less than the humidity on the left side of the school?

24. 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

25. 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

26. 54646670727577 Left Side Right Side Left vs Right Humidity Graphs %

27. 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

28. 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

29. 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.

30. 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.