show at minimum: 1) The null and alternative hypotheses, written using proper notation 2) The test statistic calculation showing: the letter of the test statistic (t or z), the formula for the test statistic, the numbers filled into the formula, and the final result. Round Ztest test statistics to two decimals; round ttest test statistics to three decimals. 3) The rejection step showing BOTH the p-value approach (AND the CV approach ( You do not need to draw the rejection diagram unless you want to. You must show the proper p-value and proper CV, and the rejection rule that led you to your decision about the null hypothesis. State what happened to the null and the alternative hypotheses to get full credit. 4) Interpret the test result, referencing the alpha significance level (or percent confidence level), and answering all questions asked.

2. The realtor had noticed some recent changes in the sales prices for single-family homes in two cities in her county. While City A and City B had always had similar home prices in the past, recently she had noticed that this might be changing. She decided to use hypothesis testing to see if the population mean home price was different in these two cities. The realtor took two random, independent samples. In City A, a random sample of 42 single-family homes sold recently had a mean sales price of $194,000. In City B, a random sample of 45 single-family home sold recently had a mean sales price of $173,500. From past experience, the realtor assumed that the population standard deviation of home sales prices was $55,250 in City A, and $39,180 in City B. Using an a = 0.05 significance level, perform a hypothesis test to determine whether the population mean home sales price in City A is different than City B. Use the home sales in City A as population 1. Can the realtor conclude that the population mean price in City A is different than in City B? Extra Credit (2 points): without doing another hypothesis test, can she conclude that prices are higher in City A than in City B? Explain how she can tell, or if she can't, why she cannot