please solve

ANSWERS BBUNDERSTAT12 6.5.008.MI.S. Suppose x has a distribution with # = 78 and o = 8. LA USE SALT (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean , = = 78 and o = 2. Yes, the x distribution is normal with mean # - = 78 and a = = 0.5. Yes, the x distribution is normal with mean , = 78 and a y = 8. O No, the sample size is too small. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? Yes, the x distribution is normal with mean u ~ = 78 and o - = 2. Yes, the x distribution is normal with mean # * = 78 and a - = 0.5. Yes, the x distribution is normal with mean # = 78 and o = 8. O No, the sample size is too small. Find P(74 5 x $ 79). (Round your answer to four decimal places.) 0.24533 X