Question

QUESTION PART A: Express the confidence interval −41.3<μ<159.9-41.3<μ<159.9 in the form of ¯x±MEx¯±ME.

¯x±ME=_____ ±_____

QUESTION PART B: Express the confidence interval (731.9,891.7)(731.9,891.7) in the form of ¯x±MEx¯±ME.

¯x±ME=_____ ±_____

Answer 1

solution:-

QUESTION PART A:

given confidence interval is −41.3 < μ < 159.9

=> X = (lower confidence + upper confidence)/2

= (-41.3+159.9)/2

= 59.3

=> ME = (upper confidence - lower confidence)/2

= (159.9-(-41.3))/2

= 100.6

finally

=> X +/- ME = 59.3 +/- 100.6
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QUESTION PART B:

given confidence interval is (731.9,891.7)

=> X = (lower confidence + upper confidence)/2

= (731.9 + 891.7)/2

= 811.8

=> ME = (upper confidence - lower confidence)/2

= (891.7-731.9)/2

= 79.9

finally

=> X +/- ME = 811.8 +/- 79.9