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.)______ Find the p-value. (Round your answer to four decimal places.) p-value = (c) State your conclusion. (A)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. (B)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. (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. (D)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.

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Description: 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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:

H_a:

(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 =

(A)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.

(B)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.

(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.

(D)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.

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