Question

these two questions im having trouble on. Provides the tables for both

M 6.2.75 се Use a standard normal distribution table to obtain the Z-score that has an area of 0.975 to its right. Click here to view page 1 of the normal distribution table, As Click here to view page 2 of the normal distribution table. Za St (Round to two decimal places as needed.)

Answer 1

6.2.75

We have to obtain z score which has area 0.975 to its right.

We are given that,

$\small P(Z>a)=0.975$    where a is the required z score.

$\small or, \ 1-P(Z\le a)=0.975$

$\small or, \ P(Z\le a)=0.025$

$\small or, \ \Phi(a)=0.025=\Phi(-1.96) \ \ (Value \ from \ z-table)$

Therefore, value of a is -1.96.     (Answer)