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# According to the National Association of Realtors, it took an average of three weeks

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According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Use

α = 0.05

for the level of significance, and state your conclusion.

(a)

State the null and alternative hypothesis. (Enter != for ≠ as needed.)

H0:

Ha:

(b)

Find the value of the test statistic. (Round your answer to three decimal places.)

p-value =

(c)

Reject H0. There is a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.

Do not reject H0. There is a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.

Do not reject H0. There is not a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.

Reject H0. There is not a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.

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## [Solved] According to the National Association of Realtors, it took an average of three weeks

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