11. A 90 % confidence interval for a situation is developed and is given as foll

Q: 11. A 90 % confidence interval for a situation is developed and is given as foll

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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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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11. A 90 % confidence interval for a situation is developed and is given as foll

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