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If a population is known to be normally distributed with u = 70 and 0- =12, what will be the characteristics of the sampling distribution forx based on a random sample of size 9 selected from the population? pi = 70 (Type an integer or a decimal.) 6)} = E (Type an integer or a decimal.) If a population is known to be normally distributed with u = 84 and 6 =15, what will be the characteristics of the sampling distribution for x based on a random sample of size 9 selected from the population? \")2 = 84 (Type an integer or a decimal.) 6)} = E (Type an integer or a decimal.) Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 11 hours. Complete parts a through c. a. What is the probability that a single battery randomly selected from the population will have a life between 70 and 80 hours? P(70 5:15 80) = 0.3473 (Round to four decimal places as needed.) b. What is the probability that 16 randomly sampled batteries from the population will have a sample mean life of between 70 and 80 hours? P(70 s i s 80) = D (Round to four decimal places as needed.) Assume that females have pulse rates that are normally distributed with a mean of p = 72.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, nd the probability that her pulse rate is less than 76 beats per minute. The probability is 0.6255 . (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, nd the probability that they have pulse rates with a mean less than 76 beats per minute. The probability is D. (Round to four decimal places as needed.) Given a normal distribution with p: 102 and o = 25, and given you select a sample of n = 25, complete parts (a) through (d). Click here to view p_age 1 of the cumulative standardized normal distribution table. Click here to view mge 2 of the cumulative standardized normal distribution table. a. What is the probability that )_( is less than 90? P()_(