Question

Express the confidence interval 596.9<μ<746.1 in the form of ¯x±ME. ¯x±ME= ±

Answer 1

Solution :

=> Answer :- x-bar +/- ME = 671.5 +/- 74.6

Given that, The confidence interval is 596.9 < μ < 746.1

we know that, The confidence interval is x-bar - ME < μ < x-bar + ME

=> x-bar - ME = 596.9 and x-bar + ME = 746.1

Add the both equations

=> 2*x-bar = 596.9 + 746.1

=> 2*x-bar = 1343

=> x-bar = 671.5

=> x-bar - ME = 596.9

=> 671.5 - ME = 596.9

=> ME = 671.5 - 596.9

=> ME = 74.6

  => x-bar +/- ME = 671.5 +/- 74.6