Question

In: Statistics and Probability

Sample Mean Suppose that ?1 ......?n are random variables, each distributed N(5,9) The sample size is...

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

Solutions

Expert Solution

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).

  


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