2] Find the largest interval in which p* must lie to approximate lops most with relative error a at each value for P. arrar sk

Make sure to add hypothesis as well as graph

1n econo ist found trat a randan Scmple of 42 high scnool teachers had an average annual Salary of $56,490.A previaus Study Snowed that the population Standard deviation $4150. Cal culate the margin OH ecror, E for a 99% Confi clence Interval for M, the average a0ouai of all hign Scnool teachers.

Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete part a through c a) If 1 adult female is randomly selected. Find the probability that her pulse rate is less than 82 beats per minute  (Round to four decimal places as needed) b) If 4 adult females are randomly selected, find the probability that they have a pulse rates with a mean less than 82 beats per minute  (Round to four decimal places as needed) c) Why can the normal distribution be used in part (b) even though the sample size don't exceed 30?(options are the image below)