Probablitiy QNT/351 Version 5 University of Phoenix Material PROBABILITY Maximum and Minimum Temperatures Karina Visloukh Sunday, May 15, 2016 Quantitative Analysis for Business / QNT/351 Sara Skowronski Copyright 2016 by University of Phoenix. All rights reserved. 1 Probablitiy QNT/351 Version 5 1. Prepare a spreadsheet with three columns: Date, High Temperature, and Low Temperature. List the past 60 days for which data is available. Copyright 2016 by University of Phoenix. All rights reserved. 2 Date High Temperature Low Temperature 1-Mar 83 72 2-Mar 80 69 Probablitiy 3 QNT/351 3-Mar 83 61 Version 5 4-Mar 82 64 5-Mar 82 68 6-Mar 85 66 Source: 7-Mar 86 65 8-Mar 85 65 9-Mar 78 66 10-Mar 78 66 11-Mar 80 66 12-Mar 81 68 13-Mar 82 64 14-Mar 86 63 15-Mar 75 68 16-Mar 77 66 17-Mar 77 67 18-Mar 77 67 19-Mar 76 65 20-Mar 81 68 21-Mar 85 65 22-Mar 83 66 23-Mar 83 64 24-Mar 86 64 25-Mar 83 64 26-Mar 81 66 27-Mar 82 62 28-Mar 85 64 29-Mar 85 72 30-Mar 82 64 31-Mar 85 64 1-Apr 84 63 2-Apr 84 72 3-Apr 86 73 4-Apr 89 66 5-Apr 86 65 6-Apr 72 67 7-Apr 80 69 8-Apr 84 70 9-Apr 83 72 10-Apr 86 65 11-Apr 82 70 12-Apr 83 70 13-Apr 83 71 14-Apr 86 71 15-Apr 86 66 16-Apr 83 71 Copyright 2016 by University of Phoenix. All rights reserved. 17-Apr 82 68 Probablitiy QNT/351 Version 5 https://weather.com/weather/monthly/l/USHI0048:1:US Copyright 2016 by University of Phoenix. All rights reserved. 4 Probablitiy QNT/351 Version 5 5 2. Prepare a histogram for the data on high temperatures and comment on the shape of the distribution as observed from these graphs. Meteorology is the interdisciplinary scientific study of the atmosphere. The histogram provided above demonstrates the diurnal variation of high temperature in the town of Kihei on Hawaii. The data can be analyzed based on the sixty days since the information was gathered from weather.com. Glancing over the provided histogram, the fluctuation in high temperature numbers is not acute. The highest temperature in the period over the sixty days is 89 fahrenheit and the lowest of the high temperature is 72 fahrenheit. This data can be used to analyze wheather the average of this particular season is in normal or ubnormal stage in compereson to other years. When meteorologists are performing their analisis, they look at the records in order to be able to predict and/or analize the changes and if the average is within the normal or abnormal rage (Lee M. Grenci, Jon M. Nese, 2001). Copyright 2016 by University of Phoenix. All rights reserved. Probablitiy QNT/351 Version 5 6 3. Calculate and S. The mean for the high temperature is 82.78333333. If to do this culculations manually, one will have to add all the given data (numbers) and divide it by the total of the numbers; 4967/60= 82.78333333. Since the continuous data was used in this particular example, the sample standard deviation is 3.360244476. I have arrived to this results using Exell formulas as well as manual calculations. 4. What percentage of the high temperatures are within the interval - S to + S? 5. What percentage of the high temperatures are within the interval - 2S to + 2S? 6. How do these percentages compare to the corresponding percentages for a normal distribution (68.26% and 95.44%, respectively)? 7. Repeat Parts 2 to 6 for the minimum temperatures on your spreadsheet. Copyright 2016 by University of Phoenix. All rights reserved. Probablitiy QNT/351 Version 5 7 From the above demonstrated histogram one can arrive to a sample mean of 67.41666667 by dividing the sun of the low temperature for the 60 days, which will be 4045/60 will be eaqual to the aforementioned number. The friquesncy of the low temperature in Kihei is greater in compereson to the high temperature histogram. Copyright 2016 by University of Phoenix. All rights reserved. Probablitiy QNT/351 Version 5 8 90 80 70 60 50 40 30 High Temperature Low Temperature 20 10 0 In addition, beyond the requirments of this assignment, I would like to demonstrate the correlation using a different tyme of a histogram by using both charts in order to see a better correlation between the two databases that were provided. 8. Would you conclude that the two distributions are normally distributed? Why or why not? Copyright 2016 by University of Phoenix. All rights reserved. Probablitiy QNT/351 Version 5 9 References Lee M. Grenci, Jon M. Nese (2001) A World of Weather: Fundamentals of Meteorology: a Text/ Laboratory Manual. Third Edition. Kendall/Hunt Publishing Company. Retrieved from https://books.google.com/books? id=oh8lqM5obuYC&pg=PA9&lpg=PA9&dq=how+to+analyze+histogram+for+daily+high+and +low+temperatures&source=bl&ots=Ql5GbuyUE5&sig=mf9Taa99eULvBVLZVCDzS24JFNY &hl=en&sa=X&ved=0ahUKEwjRkKL7s93MAhVL5mMKHa86BTEQ6AEILTAD#v=onepage &q=mete&f=false Copyright 2016 by University of Phoenix. All rights reserved