Name: Read this carefully: For the following scenarios, conduct a full hypothesis test where you write down all relevant statistics and parameters, check the conditions required to use the relevant distribution, state the null and alternative hypothesis and which type of test is being used, calculate the test statistic (by hand or using technology), draw and label a picture of the distribution, make a decision based on the classical or P-value approach, and write a conclusion in a complete sentence. Show all your handwritten work to receive credit. You may use a table of values, a graphing calculator, Microsoft Excel, and/or online statistics calculators. It is recommended that you use technology to assist you for this exam more so than for the previous exam. The calculations can be done by hand, but it will take longer. 1. (15 points) A real estate agency wishes to determine if the average sale price of houses in Eastville are higher than in Westville. A simple random sample of 48 house sale prices in Eastville yielded a mean of $335,000 and a standard deviation of $12,200. A simple random sample of 55 house sale prices in Westville yielded a mean of $332,000 and a standard deviation of $10,600. Test the claim at the 5% level of significance. (Hint: the degrees of freedom are df = 93.86805368)