Incomes in two particular neighborhoods follow normal distribution.
QUESTION: Example: Family incomes in two particular neighborhoods follow a normal distribution. For Neighborhood 1 the mean is $26,500, with a standard deviation of $15,000. For Neighborhood 2, the mean is $30,000 with a standard deviation of $18,000.
A) What proportion of families in Neighborhood 1 have incomes below the mean family income in Neighborhood 2?
B) What income level in Neighborhood 1 represents the top 10% for that neighborhood?
C) What income level for neighborhood 2 represents the lowest 5% of incomes for that neighborhoods?
D) For neighborhood 1, what percentage of families have incomes that fall between the mean incomes of Neighborhood 1 and neighborhood 2?© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/statistics/descriptive-statistics/incomes-in-two-particular-neighborhoods-follow-normal-distribution-3ac
...ore; Z = (30,000-26,500)/STD 1
Therefore Prob = .5922 ( from Normal Table for corresponding Z value)
B)Top 10% means 90% must be below this income figure X.
There Z score is given in this ...