Question 2. (3 points) Information: In a sample of 40 women, a researcher found a mean age at menarche (AAM) of 150.95 months. Lets say the researcher also happens to know that that population standard deviation is 12.21 months. Using this information, answer the items below. Be sure to show how you hand-calculated your answers. A. Using a confidence level of 95%, calculate the Margin of Error (m). B. What is the 95% confidence interval for the sample mean? C. Interpret what this 95% CI means for the age at menarche mean. Question 3. (3 points) Use the information from Question 2 to answer the following items. Be sure to show how you hand-calculated your answers. A. What would the Margin of Error be if the sample size were 2002 B. What would the 95% confidence interval be if the sample size were 200? C. Explain the difference in the 95% confidence intervals you found for Question 2 and Question 3. Question 4. (3 points) Use the information from Question 2 to answer the following items. Be sure to show how you hand-calculated your answers A. Calculate the 99% Confidence Interval for the sample mean B. Interpret what this 99% CI means for the age at menarche mean. C. Explain the difference in the 95% and 99% confidence intervals values you calculated in Question 2 and Question 4