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Answer:
In both Florida and Ohio the house is 2.5 standard deviations from the mean.
Step-by-step explanation:
Z-score
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem:
The 200,000 house would be closer to the mean in the state in which the absolute value of the z-score is smaller.
Florida:
So
In Florida, a home priced at $200,000 is 2.5 standard deviations from the mean.
Ohio:
So
In Ohio, it is also 2.5 standard deviations from the mean.
In both Florida and Ohio the house is 2.5 standard deviations from the mean.
we are given
The water level in Ricky lake changes at an average of -7/48 inch for 1 year
It means that
In 1 year , the water level changes at
and we have to find the water level change after 5 years
so, we can multiply both sides by 5
In 5*1 year , the water level changes at
In 5 years , the water level changes at
Hence,
the water level change after 5 years is ........Answer