1. [-13 Points] BBBASICSTATB 7.5.008.MI.S. PRACTICE ANOTHER Suppose x has a distribution with [4 = 62 and a' = 8. l2 USE (a) If random samples of size n = 16 are selected, can we say anything about the )7 distribution of sample means? ' ' Yes, the )7 distribution is normal with mean u )7 = 62 and a; = 2. " Yes, the )7 distribution is normal with mean [4 )7 62 and a; = 0.5. " Yes, the )7 distribution is normal with mean [4 )7 = 62 and a; = 8. No, the sample size is too small. (b) If the original x distribution is normal, can we say anything about the )7 distribution of random samples of size 16? ' ' Yes, the )7 distribution is normal with mean u )7 = 62 and a; = 2. " Yes, the )7 distribution is normal with mean u )7 = 62 and a; = 0.5. " Yes, the )7 distribution is normal with mean [4 )7 = 62 and a; = 8. No, the sample size is too small. Find P(58 s )7 s 63). (Round your answer to four decimal places.) 2. [-19 Points] BBBASICSTAT8 7.5.01 1.5. PRACTICE ANOTHER Suppose x has a distribution with [4 = 11 and a = 4. IA uses (a) If a random sample of size n = 37 is drawn, nd 14;. 0'; and P(11 S )7 S 13). (Round 0; to two decimal places and the probability to four decimal places.) u;= 0';= P(11ss13)= (b) If a random sample of size n = 72 is drawn, nd 14;, a; and P(11 s )_( S 13). (Round a; to two decimal places and the probability to four decimal places.) 1'; = a; = P(11$)_(S 13): ) (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) | . The standard deviation of part (b) is ---Select- part (a) because of the ---Select--- sample size. Therefore, the distribution about u; is ---Select-