The average sales price of a single-family house in US is $290,600. You randomly select 12 single-family houses. What is the probability that the mean sales price is more than $265,000? Assume that the sales prices are normally distributed with a standard deviation of $36,000. a) b) Use CLT to find the μx and ox? Find the z-score that corresponds t- x =$265,000

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Please answer part a and b: Thank you

The average sales price of a single-family house in US is $290,600. You
randomly select 12 single-family houses. What is the probability that the mean
sales price is more than $265,000? Assume that the sales prices are normally
distributed with a standard deviation of $36,000.
a)
b)
c)
d)
Use CLT to find the ux and ox?
Find the z-score that corresponds t- x =$265,000
Find the cumulative area that corresponds to the Z-score and calculate the probability.
Interpret the results.
Transcribed Image Text:The average sales price of a single-family house in US is $290,600. You randomly select 12 single-family houses. What is the probability that the mean sales price is more than $265,000? Assume that the sales prices are normally distributed with a standard deviation of $36,000. a) b) c) d) Use CLT to find the ux and ox? Find the z-score that corresponds t- x =$265,000 Find the cumulative area that corresponds to the Z-score and calculate the probability. Interpret the results.
Expert Solution
Step 1

GivenMean(μ)=290600standard deviation(σ)=36000sample size(n)=12

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