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. D-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. I. 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. I. 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. V. Do not reject Hn. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 Hn. 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 Hn. 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.
- Select your answer -
Transcribed Image Text: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 Hn. 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 Hn. 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. - Select your answer -
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