11. A 90 % confidence interval for a situation is developed and is given as foll
ID: 3341109 • Letter: 1
Question
11. A 90 % confidence interval for a situation is developed and is given as follows: 36 < µ < 72. (a) Give the value of the sample mean that was used in developing this interval. (b) Give the value of the margin of error that was used in developing this interval . 11. A 90 % confidence interval for a situation is developed and is given as follows: 36 < µ < 72. (a) Give the value of the sample mean that was used in developing this interval. (b) Give the value of the margin of error that was used in developing this interval .Explanation / Answer
a) The sample mean is the middle point of the confidence interval.
Therefore we get here:
Sample Mean = (36 + 72 ) / 2 = 54
therefore 54 is the sample mean here.
b) The margin of error here is computed as:
MOE = Upper Bound - Sample Mean = 72 - 54 = 18
therefore 18 is the margin of error here.
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