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 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. Use the five step hypothesis testing procedure outlined below to determine if there is evidence that the mean monthly rate of all two bedroom apartments in this city is different from $2000. Use Minitab to conduct a single mean t test. 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.

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

Question Set 2: 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,

Question Set 2: 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.