In: Statistics and Probability
Sample Mean Suppose that ?1 ......?n are random variables, each distributed N(5,9) The sample size is 100.
(a)Calculate the mean and standard deviation of sample mean ?̅.
(b)Show Prob(4.7<?̅<5.3).
SHOW ALL WORK please
Answer:
Given that:
Sample Mean Suppose that ?1 ......?n are random variables, each distributed N(5,9) The sample size is 100.
N(5,9)
,
n = 100
(a) Calculate the mean and standard deviation of sample mean ?̅.
Mean of sample
= 5
(b)Show Prob(4.7<?̅<5.3).