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In Hamilton county, ohio, the mean number of days needed to sell a house is 86...

In Hamilton county, ohio, the mean number of days needed to sell a house is 86 days (cincinnati Multiple listing Service, april, 2012). data for the sale of 40 houses in a nearby county showed a sample mean of 80 days with a sample standard deviation of 20 days. We want to do a hypothesis test to determine whether the mean number of days until a house is sold is different than the Hamilton county mean of 86 days in the nearby county.

a) State the null and alternative hypotheses you would use.

b) Compute the test statistic.

c)With α = 0.05, what is your conclusion?

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