You may need to use the appropriate appendix table or technology to answer this question. 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 38 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 a = 0.05 for the level of significance, and state your conclusion. (a) State the null and alternative hypothesis. (Enter != for # as needed.) Ho: Ha: (b) Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) State your conclusion.
You may need to use the appropriate appendix table or technology to answer this question.
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 38 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 a = 0.05 for the level of significance, and state your conclusion.
(a) State the null and alternative hypothesis. (Enter != for # as needed.)
Ho:
Ha:
(b) Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) State your conclusion.
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