For a sample of 20 students taking a final exam, the mean heart rate was 96 beats per minute, and the standard deviation was 15. Assume the distribution is normal.(a) Find the 95% confidence interval of the true mean.(Round the critical value to 3 decimal places. Round E to 2 decimal places.)__________ < μ < ______(b) Find the 95% confidence interval of the mean heart rate if the same statistics were calculated from a sample of 200 students instead of the sample of 20.(Round the critical value to 3 decimal places. Round E to 2 decimal places.)________ <μ< _______Which interval is smaller? Explain why.(To be graded by hand -- 2 pts)