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.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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