Amedical researcher measured the pulse rates (beats per minute) of a sample of randomly selected adults and found the following student's t-based confidence interval: with 95.00% confidence, 69.267758less thanmu(pulse)less than72.331207 a) explain carefully what the software output means. b) what's the margin of error for this interval? c) if the researcher had calculated a 99% confidence interval, would the margin of error be larger or smaller?