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Confidence Intervals Exploration Open the following demo for confidence Intervals: https://www.geogebra.org/m/Kcq3UxwZ Directions: Play with the 4 different controls and see what happens to the red

Confidence Intervals Exploration

Open the following demo for confidence Intervals: https://www.geogebra.org/m/Kcq3UxwZ

Directions:

Play with the 4 different controls and see what happens to the red interval. Compare it to the original blue interval that stays the same for comparison. You can hit the 'reset' button in the upper right corner to return to the original.

Now answer some questions:

  1. What happens to the Red Confidence Interval as sample size (n) increases?
  2. What happens to the Red Confidence Interval as Confidence Level (on the app 'confidence') increases?
  3. What happens to the Red Confidence Interval as sample mean increases? As sample mean decreases?
  4. What makes the Red Confidence Interval to shrink? (you may provide more than 1 way)
  5. What makes the Red Confidence Interval to expand? (you may provide more than 1 way)

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