Question
A County Board of Supervisors has appointed an urban planning committee to evaluate proposed community development projects The committee is analyzing among other things data
A County Board of Supervisors has appointed an urban planning committee to evaluate proposed community development projects The committee is analyzing among other things data on household Incomes in two cities within the county They have collected data on the income of 67 households in each of the two cities The histograme below show the distributions of the two sets of income in thousands of dollars Each histogram shows household income on the horisontel axis and number of households on the vertical axis The means and standard deviations for the del set are also given 20 15 10 30 10 City A NO 90 100 110 City A mein 59 93 thousand dollars City A standard deviation 15 01 thousand dollars 20 15 10 V 5 10 20 30 40 50 60 70 0 90 100 11 The committee wants to use the Empirical Rule to make some approximations about both data sets Unfortunately it is appropriate to use the Empirical Rule on only one of them Answer the parts below to help the committee with their approximations a Identify the data set for which it is appropriate to use the Empirical Rule It is appropriate to use the Empirical Rule for the City A For the data set identified in part a use the Empirical Rule to make the following approximations b The percentage of incomes between 14 9 thousand dollars and 104 96 thousand dollars is approximately 68 City B City B mean 48 43 thousand dollars City B standard deviation 29 52 thousand dollars c Approximately 68 of the incomes are between thousand dollars and thousand dollar 4
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