Question

A simple random sample of size n 49 is obtained from a population with u 75 and o 14 (a) Describe the sampling distribution of x. (b) What is P (x>77.2)? (c) What is P (xs 71)? (d) What is P (73.8 < x<80)? (a) Choose the correct description of the shape of the sampling distribution of x. O A. The distribution is skewed right. B. The distribution is approximately normal. OC. The distribution is skewed left O D. The distribution is uniform O E. The shape of the distribution unknown. Find the mean and standard deviation of the sampling distribution of x H 75 (b) P x>77.2) (Round to four decimal places as needed.)

Answer 1

solokon: - Giuen dath, sample size - 49 mean l = 15 standard deviation c = 14 Descrube the sampling distribution of a) ý. mean lüt sel .- Mi = 75 and Ta olan a lul Jag TE 2 * oplon 13 is Coreet en 1. The distribution is approximately normal. b) P(x > 77.2) : p(*> 11.2) -palvelut > Thomas) - P(Z > i.) - 1-P (2011) - 1-0.86433 - 0.1357 c) P(831)

) rء (۴۶۶)۲ ، ( ۱ ( ، ) - 0.02215 - 0.0228 13 . 8 لا -: (هء لاء 13 . 8) م ( ، اسا) 1- (80 ء ت sa2)۱ .8 2 لقد 80 ء * ( 2 ، 8 ) >F (-0.6 ، ، ) >r ( 25) - (2-0) : - 19319.. .. بازار اور 25+0 . 2 = 5 . 11954 و 0 - 1195 13 . 8)۴ 0 . 1195= (مه ، * [ .