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Get Full Access to Elementary Statistics - 12 Edition - Chapter 11.3 - Problem 3re
Get Full Access to Elementary Statistics - 12 Edition - Chapter 11.3 - Problem 3re

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# Weather-Related Deaths Listed below are the numbers of

ISBN: 9780321836960 18

## Solution for problem 3RE Chapter 11.3

Elementary Statistics | 12th Edition

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Problem 3RE

Weather-Related Deaths? Listed below are the numbers of weather-related deaths in a recent year (based on data from the National Weather Service). Use a 0.01 significance level to test the claim that weather-related deaths occur in the different months with the same frequency. Can you provide an explanation for the result? M o n t h N u m b e r o f D e a t h s

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Solution 3RE Step1: From the above given problem we have Weather-Related Deaths Listed below are the numbers of weather-related deaths in a recent year Months jan feb mar apr may jun jul aug sep oct nov dec No.of deaths 39 17 20 19 60 79 109 73 28 5 5 35 With 0.01 level of significance Step2: Our aim is to test the claim that weather-related deaths occur in the different months with the same frequency. We need provide an explanation for the result Consider the hypothesis H 0 Weather related deaths occur with the same probability. H 1 Weather related deaths do not occur with the same probability. With = 0.01 level of significance The expected for each of the digits = 40.75. Now, the observed frequencies are observed expected O - E (O - E)² / E 39 40.750 -1.750 0.075 17 40.750 -23.750 13.842 20 40.750 -20.750 10.566 19 40.750 -21.750 11.609 60 40.750 19.250 9.094 79 40.750 38.250 35.903 109 40.750 68.250 114.308 73 40.750 32.250 25.523 28 40.750 -12.750 3.989 5 40.750 -35.750 31.363 5 40.750 -35.750 31.363 35 40.750 -5.750 0.811 =288.448 Conclusion: From the above table we can notice that = 288.448 and p value can be obtained by table i.e, p = 0.000 compare p value with level of significance p = 0.000 < = 0.01 Therefore, we reject null hypothesis at 0.01 level of significance it indicates that weather related deaths occur in same months with the same frequency. Hence The reason for the same could probably be the more number of leisure and vacations during summers. As according to the data set, quiet a high number of deaths are observed in months of June and July.

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