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 77 households in each of the two cities. The histograms below show the distributions of the two sets of incomes (in thousands of dollars). Each histogram shows household income on the horizontal axis and number of households on the vertical axis. The means and standard deviations for the data sets are also given. The committee wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it isappropriate 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 (Choose one)data set.For the data set identified in part (a), use the Empirical Rule to make the followingapproximations.(b) The percentage of incomes between 11.21 thousand dollars and 98.27 thousanddollars is approximately (Choose one)(c) Approximately 95% of the incomes are between O thousand dollars and Uthousand dollars. City ACity B25-25-20+20+15-15-10-10+545+10 20 30 40 s0 60 70 80 901001020 30 40 50 60 70 80 90 100City A mean: 73.96 thousand dollarsCity B mean: 54.74 thousand dollarsCity A standard deviation: 20.30 thousandCity B standard deviation: 14.51 thousanddallaredallare

For a defined random variable, X~N(μ, σ2) the z-score is, Z=X-μσwhereμ=population meanσ=population…

Answered: The committee wants to use the…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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 77 households in each of the two cities. The histograms below show the distributions of the two sets of incomes (in thousands of dollars). Each histogram shows household income on the horizontal axis and number of households on the vertical axis. The means and standard deviations for the data sets are also given.

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 (Choose one)
data set.
For the data set identified in part (a), use the Empirical Rule to make the following
approximations.
(b) The percentage of incomes between 11.21 thousand dollars and 98.27 thousand
dollars is approximately (Choose one)
(c) Approximately 95% of the incomes are between O thousand dollars and U
thousand dollars.

City A
City B
25-
25-
20+
20+
15-
15-
10-
10+
54
5+
10 20 30 40 s0 60 70 80 90
100
10
20 30 40 50 60 70 80 90 100
City A mean: 73.96 thousand dollars
City B mean: 54.74 thousand dollars
City A standard deviation: 20.30 thousand
City B standard deviation: 14.51 thousand
dallare
dallare

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