Question

A confidence interval for a population mean has a margin of error of 3.7.a) Determine the length of the confidence interval.b) If the sample mean is 57.9, obtain the confidence interval.Confidence interval: (____,______).

Answer 1

Answer:

a) 7.4

b) 54.2 to 61.6

Step-by-step explanation:

Margin error = 3.7

a) Length of the confidence interval = 2*margin error

= 2*3.7

= 7.4

b) Sample mean = 57.9

Confidence interval = Sample mean +/- margin error

= 57.9+/-3.7

= 57.9 - 3.7 to 57.9+3.7

= 54.2 to 61.6