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Point Estimate of the Mean:

The point estimate of the mean is 16, since this is the sample mean.

95% Confidence Interval Estimate for the Mean:

The 95% confidence interval estimate for the mean can be calculated using the following formula:

Mean +/- Margin of Error = (16 +/- 1.96*(9/sqrt(50))) = 16 +/- 1.51 = 14.49 to 17.51

99% Confidence Interval Estimate for the Mean:

The 99% confidence interval estimate for the mean can be calculated using the following formula:

Mean +/- Margin of Error = (16 +/- 2.58*(9/sqrt(50))) = 16 +/- 2.13 = 13.87 to 18.13

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David Denton

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2y ago

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Q: TO ESTIMATE THE AVERAGE AGE OF STUDENTS A SAMPLE OF 50 PARTICIPANTS WAS OBTAINED, WITH A MEAN OF 16 AND A POPULATIONAL VARIATION OF 9, calculate:* POINT ESTIMATE OF THE MEANS* 95% AND 99% CONFIDENCE INTERVAL ESTIMATES FOR THE MEANS?
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