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Answer :
Final answer:
The size of the margin of error at 95% confidence can be found by multiplying the standard error by the critical value associated with a 95% confidence level. For a 95% confidence level, the margin of error is approximately 1.96 times the standard error.
Explanation:
The margin of error depends on the confidence level and the standard error of the mean. In this case, we are given that the standard error is 52.86. The size of the margin of error at 95% confidence can be found by multiplying the standard error by the critical value associated with a 95% confidence level. For a 95% confidence level, the critical value is approximately 1.96. Therefore, the size of the margin of error at 95% confidence is approximately 1.96 * 52.86 = 103.6.
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