The engine displacement (volume) is measured in cubic centimeters. We wish to estimate 4 50); the population median displacement, using (50), the sample median. We will conduct bootstrapping to do so. a) Why can't we simply use the Central Limit Theorem, along with a normal or t distribution, to create a confidence interval for #( 50)? Lisp ? Be succinct in your answer. b) After conducting bootstrapping, we plot the sampling distribution of our bootstrap sample medians, yielding the following. Use this result to estimate the 95% confidence interval for M(.50). Here you do not need to do any calculation, just make the best guess for the values 95% confidence interval by looking at the plot. Bootstrap Sampling Dist. of Sample Median 10000 6000 Frequency 2000 0 50 100 150 200 250 300 350 400 Median (cubic centimeters)