According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Data for the sale of 40 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. Round your answer to four decimal places. p-value = Use a = 0.05 for the level of significance, and state your conclusion. I. Reject Ho. 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. II. Reject H9. 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. II. Do not reject Ho. 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. IV. Do not reject Ho. 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. Choose the correct option.

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Exercise 09.57 (Population Mean: Sigma Unkmown)
« Question 13 of 13
11.
Hint(s) Check My Work
12.
13.
According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Data for the sale of 40 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.
Round your answer to four decimal places.
p-value =
Use a = 0.05 for the level of significance, and state your conclusion.
I. Reject Ho. 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.
II. Reject Ho. 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.
III. Do not reject Ho. 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.
IV. Do not reject Ho. 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.
Choose the correct option.
IV
Transcribed Image Text:Questions Exercise 09.57 (Population Mean: Sigma Unkmown) « Question 13 of 13 11. Hint(s) Check My Work 12. 13. According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Data for the sale of 40 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. Round your answer to four decimal places. p-value = Use a = 0.05 for the level of significance, and state your conclusion. I. Reject Ho. 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. II. Reject Ho. 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. III. Do not reject Ho. 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. IV. Do not reject Ho. 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. Choose the correct option. IV
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