A population follows the normal distribution with mean = 50 and standard deviation 30. Fill in the table below with the population parameters. Population μ σ Z LB UB N 50 30 1.645 or -1.645 0.65 99.35...

A population follows the normal distribution with mean = 50 and standard deviation 30.

1. 
   
   Fill in the table below with the population parameters.
   

1. 
   
   Using the formula below, find the value of z in two ways
   

P( μ – z * σ ≤ x ≤ μ + z * σ ) = 0.9

Substitute the population parameters for μ and σ

P( 50 – z * 30 ≤ x ≤ 50 + z * 30 ) = 0.9

1. 
   
   Find the cut off points using the population distribution.
   
   

Place the Distribution plot below,

1. 
   
   Calculate z from the cut off points and fill in the table
   
   

Cut off point of population is 0.65 and 99.35