Question Set 2: Mean Monthly Rent A researcher is studying the cost-of-living in one large city. As part of their research, they would like to learn more about the average monthly rental rate of two-bedroom apartments in the city. In a random sample of 36 two-bedroom apartments, the mean monthly rental rate was $1785 with a standard deviation of $535. Use these sample data to answer the following questions. A. Use the five-step hypothesis testing procedure outlined below to determine if there is evidence that the mean monthly rental rate of all two-bedroom apartments in this city is different from $2000. Use Minitab to conduct a single sample mean ttest. You should not need to do any calculations by hand. Remember to include all relevant Minitab output and to clearly identify your answers to each step. [25 points] Step 1: Check assumptions and write hypotheses Step 2: Calculate the test statistic Step 3: Determine the p value Step 4: Decide to reject or fail to reject the null Step 5: State a "real world" conclusion B. Construct a 95% confidence interval to estimate the mean monthly rental rate of all two- bedroom apartments in this city. Remember to include all relevant Minitab output and to clearly identify your answer. You should not need to do any calculations by hand. [15 points] C. What sample size would be needed to construct a 95% confidence interval to estimate the mean monthly rental rate of all two-bedroom apartments in this city with a margin of error of +$50? You will need to do calculations by hand. Show all of your work using the equation editor. [10 points]