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A random sample of n measurements was selected from a population with unknown mean p and standard deviation 6 = 20 for each of the situations in parts a throughd. Calculate a 99% confidence interval for p for each of these situations.a. n = 70, i = 35 b. n=250, i: 104c.n=110,)_(=16 d. n=110,)_(=4.29e . Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts athrough d? Explain. a.( , |) (Round to two decimal places as needed.)