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A 95% confidence interval for the average IQ among adults is (96.6, 101.2).

a. What is the best guess for the average IQ among adults? (4 pts)

b. What is the margin of error for the average IQ among adults? (4 pts)

Answer :

The average IQ among adults is estimated to be 98.9 with a margin of error of 2.3, based on a 95% confidence interval. The confidence interval helps us understand the range within which the true average IQ is likely to be found.

The best guess for the average IQ among adults is the midpoint of the confidence interval, which is calculated by taking the average of the lower and upper bounds of the interval. In this case, the best guess for the average IQ is (96.6 + 101.2) / 2 = 98.9.
The margin of error for the average IQ among adults is the range around the best guess within which the true population average is likely to fall. It is calculated by taking half of the width of the confidence interval. In this case, the margin of error is (101.2 - 96.6) / 2 = 2.3.
So, the best guess for the average IQ among adults is 98.9, and the margin of error is 2.3. This means that we are 95% confident that the true average IQ among adults falls between 96.6 and 101.2. The confidence interval provides a range of values that we can be reasonably certain contains the true population average, based on the sample data collected.
To summarize, the average IQ among adults is estimated to be 98.9 with a margin of error of 2.3, based on a 95% confidence interval. The confidence interval helps us understand the range within which the true average IQ is likely to be found.

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