Question

Suppose a simple random sample of size n=64 is obtained from a population with u = 86 and o = 8. (a) Describe the sampling distribution of x. (b) What is P (X> 87.5)? (c) What is P (xs83.95) ? (d) What is P (84.55 < x < 87.9) ? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Choose the correct description of the shape of the sampling distribution of X. O A. The distribution is uniform. OB. The distribution is skewed left. OC. The distribution is approximately normal. OD. The distribution is skewed right. O E. The shape of the distribution is unknown.

Answer 1

​​​

a) The sampling distribution of ñ will be with mean 86 and ده 8 √64 El. b) +(57875]= + (1-26, 845,849 = P[2>1:51 1-P[751'5] =1-6 (15) z1-0.933 z 0.067. - 83.95]=P[ 7=66 $ 83-45-86 --[71-205)- $(-2005) 20.020 7-86 87.9-86 < > d) P[84-55 <ā<87.9] P[84-55-86 = [-1-452261-41 g (1.9)– (-1:45) = 0.471-0.074 tb 8.0 CS scanned with CamScanner

a) the correct description of the shape of the distribution will be-

C. The distribution is approximately normal. (As the sample size is greater than 30)