Based on a sample of 30 randomly selected years, a 90% confidence interval for the mean annual precipitation in one city isfrom 123.7 cm to 129.5 cmDetermine the margin of error involved in this confidence interval.
Question
Based on a sample of 30 randomly selected years, a 90% confidence interval for the mean annual precipitation in one city isfrom 123.7 cm to 129.5 cmDetermine the margin of error involved in this confidence interval.
Solution
To determine the margin of error involved in the given confidence interval, follow these steps:
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Identify the lower and upper bounds of the confidence interval. In this case, the lower bound is 123.7 cm and the upper bound is 129.5 cm.
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Calculate the range of the confidence interval by subtracting the lower bound from the upper bound:
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The margin of error (E) is half of the range of the confidence interval:
Therefore, the margin of error involved in this confidence interval is 2.9 cm.
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