Scenario You have been hired by the Regional Real Estate Company to help them analyze real estate data. One of the company's Pacific region salespeople just returned to the office with a newly designed advertisement. The average cost per square foot of home sales based on this advertisement is $280. The salesperson claims that the average cost per square foot in the Pacific region is less than $280. In other words, he claims that the newly designed advertisement would result in higher average cost per square foot in the Pacific Region. He wants you to make sure he can make that statement before approving the use of the advertisement. In order to test his claim, you will generate a random sample of size 750 houses using data for the Pacific region and use this data to perform a hypothesis test. I HAVE ALREADY GENERATED THE RANDOM SAMPLE OF 750 FOR THE PACIFIC REGION FROM THE DATA SHEET AND CREATED THE HISTOGRAM. I will attach the histogram here. Please answer the following questions based on my histogram. X axis is the square footage * Summarize your sample by writing a sentence describing the shape, center, and spread of your sample. * Check whether the assumptions to perform your identified test have been met. (The test chosen is the one-sample t test and it is left-tailed) * Identify the test significance level. For example, = .05. * Calculations: Calculate the p value, describe the p value and test statistic in regard to the normal curve graph, discuss how the p value relates to the significance level, and compare the p value to the significance level to reject or fail to reject the null hypothesis. (Null hypothesis is the average cost of square footage in the pacific region is equal to or greater than $280) * Calculate the sample mean and standard error. * Determine the appropriate test statistic, then calculate the test statistic. * Calculate the p value using one of the following tests. * Choose your test from the following: * =T.DIST.RT([test statistic], [degree of freedom]):right-tailed test * =T.DIST([test statistic], [degree of freedom], 1):left-tailed test * =T.DIST.2T([test statistic], [degree of freedom]):two-tailed test * Note: The degree of freedom is calculated by subtracting 1 from your sample size. * Using the normal curve graph as a reference, describe where the p value and test statistic would be placed. * Test Decision: Compare the relationship between the p value and the significance level, and decide to reject or fail to reject the null hypothesis. * Compare the relationship between the p value and significance level. * Decide to reject or fail to reject the null hypothesis. * Conclusion: Discuss how your test relates to the hypothesis and discuss the statistical significance. * Explain in one paragraph how your test decision relates to your hypothesis and whether your conclusions are statistically significant.