5-3 Assignment - Means, Test of Hypothesis

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Southern New Hampshire University *

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240 APPLIE

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Finance

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Jun 3, 2024

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docx

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Hypothesis Testing for Regional Real Estate Company 1 Hypothesis Testing for Regional Real Estate Company Colleen Del Valle Southern New Hampshire University
Hypothesis Testing for Regional Real Estate Company 2 Introduction The purpose of this analysis is to analyze real estate data from the Pacific Region, to see if the average cost per square foot of a home is less than $280. I was able to generate a random sample by using the blank column ‘G’ and typing in the formula ‘=RAND()’ into ‘G2.’ The formula populated a random number, from there I copied the formula all the way down to the last data set. Hypothesis Test Setup The population parameter is the mean cost per square foot in the Pacific Region ( m ). Null hypothesis, H 0 : µ = $280 per square foot. Alternative hypothesis, H 1 < $280 per square foot For testing purposes, I will be using the left-tailed test as the left tailed test is used when the hypothesis asserts that the value of the parameter is less than the value asserted in the null hypothesis. Data Analysis Preparations Descriptive Statistics Sample Size 750 Sample Mean $262 Sample Median $203 Standard Deviation 162.490563
Hypothesis Testing for Regional Real Estate Company 3 The above model mirrors the cost per square foot for the Pacific Region with the x-axis being the cost per sq ft and the y-axis being the sample size. The shape of the histogram would be considered a multimodal because there are more then two “mounds.” With a skewness to the right because that is where the tail is. The center on the model is not in the center but to the left at $264 per sq ft and it is reflective of the spread or standard deviation being $162.50. The assumptions have been met being as the sample size is 750, and the sample mean is less than 280. The test significance level is α = .05. Calculations The sample mean for the cost per sq ft is $264, with the standard error being $5.93. To determine the test statistic, you must take the sample mean of 264 minus the target which is 280 then divide by 5.93. the equation will look like this, (264-280)/5.93 = -2.96910878. Now to calculate the p value, you need to determine the best type of test to use, as I stated above, we will be using a left-tailed test to complete the analysis. To calculate the p value for a left-tailed test you need to figure out what your degree of freedom is, for this analysis the degree of freedom is taking the sample size of 750 and subtracting 1, that would make the degree of freedom 1. For
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