Question

6.) A simple random sample of size n=64 is obtained from a population with u=83 and o=32. compelte parts a-d showing work

Show A simple random sample of size = 64 is obtained from a population with 83 and 32 (a) Describe the samping distribution of (b) What is P(x>19.2) (c) What is P(xs73.47 (d) What is P (80.6<x<90.6) ? (a) Choose the correct description of the shape of the sampling distribution of O A The distribution is uniform OB. The distribution is skewed right OC. The distribution is skewed of OD. The distribution is approximately nommal OL. The shape of the distribution is renown Find the mean and standard deviation of the sampling distribution of M- ()P (892) - (Round to four decimal places as needed) (c) P (573.4) - (Round to four decimal places as needed) (d) P (806<<<80.6) (Round to four decimal places as needed) Cick to select your answers

Answer 1

u=83 32 Salution :- A simple random sample of size n=64 is obtained from a population with and o Determine the sampling distribution of Sample size no, 30 18 The sampling distribution appooximately Normal. correct of ti Because the Then is option ® Hence Now Find the mean and Standard deviation distribution X. the of sampling lux E (X) Elött Xi] 11 = sta en ELxi] E x 64 x u 83 Il and ot 10 Jvar ) voor latex Elman var (x) 164 var (x) = blo la 4 z Hence ux = 83 4

(b) PC X > 89.2) © PC X 5 73.4) = P( X-MX P(X-M5 73.4-83) 아치 og > 39.2582) 3) Pl z> 1.55) 1 - Pl ZS1.55) P(z zs -2.4) Ans = 0.00.82 0.9394 0.0606 Ang d PC 80.6 < t < < t < 90.6) »P( 80.6 83 90.6-83 X-ux x 4 P(-0.6 < Z < 109) ♡ (1.9) - • (-0.6) = 0.9713 - 0.2743 11 0.6970 Ang