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Use the confidence interval to find the margin of error and the sample mean.\newline(1.57,2.15)(1.57,2.15)\newlineThe margin of error is\newline(Round to two decimal places as needed.)\newlineThe sample mean is\newline(Type an integer or a decimal.)

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Q. Use the confidence interval to find the margin of error and the sample mean.\newline(1.57,2.15)(1.57,2.15)\newlineThe margin of error is\newline(Round to two decimal places as needed.)\newlineThe sample mean is\newline(Type an integer or a decimal.)
  1. Calculate Center: To find the margin of error, we need to calculate the distance from the center of the confidence interval to either endpoint. The center of the interval is the sample mean, and the endpoints are equidistant from the mean. To find the center, we average the two endpoints.\newlineCalculation: (1.57+2.15)/2=3.72/2=1.86(1.57 + 2.15) / 2 = 3.72 / 2 = 1.86
  2. Find Margin of Error: Now that we have the sample mean, we can find the margin of error by subtracting the sample mean from the upper bound of the confidence interval (or adding it to the lower bound, the result will be the same).\newlineCalculation: 2.15−1.86=0.292.15 - 1.86 = 0.29

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