Express the confidence interval (228.8, 460.6) in the form of x̄ +/- ME
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To express the confidence interval (228.8, 460.6) in the form of x̄ +/- ME (margin of error), we need to find the mean (x̄) and then calculate the margin of error.
The mean (x̄) can be found by taking the average of the two endpoints:
x̄ = (228.8 + 460.6) / 2 = 344.7
The margin of error (ME) can be calculated by subtracting the lower endpoint from the mean (x̄).
ME = x̄ - lower endpoint = 344.7 - 228.8 = 115.9
Therefore, the confidence interval (228.8, 460.6) can be expressed in the form of x̄ +/- ME as:
344.7 +/- 115.9