Question

Express the confidence interval (68.4,348.2)(68.4,348.2) in the form of ¯x±MEx¯±ME.

x±ME=   ±±

Answer 1

Solution :

=> Answer :- 208.3 +/- 139.9

Given confidence interval is (68.4,348.2)

=> we know that, it is in the form of (x-bar - ME,x-bar + ME)

=> x-bar - ME = 68.4 ----(1)

=> x-bar + ME = 348.2 -----(2)

=> add these two equations then

=> 2*x-bar = 68.4 + 348.2

=> 2*x-bar = 416.6

=> x-bar = 416.6/2

=> x-bar = 208.3

=> substitute in eq(1)

=> x-bar - ME = 68.4

=> 208.3 - ME = 68.4

=> ME = 208.3 - 68.4

=> ME = 139.9

=> x-bar +/- ME = 208.3 +/- 139.9