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Paste B I A Paragraph Styles Dictate Sensitivity Editor Question Set 2: Mean Monthly Rent A researcher is studying the cost-of-living in Philadelphia, Pennsylvania. 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 35 two-bedroom apartments, the mean monthly rental rate was $2160 with a standard deviation of $802. 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 area is different from $2000. Use Minitab Express to conduct a single sample meant test. You should not need to do any calculations by hand. Remember to include all relevant Minitab Express 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 area. Remember to include all relevant Minitab Express 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 area with a margin of error of 1$20? You will need to do calculations by hand. Show all of your work using the equation editor. [10 points]