Imagine you are estimating gravity on another world by timing how long it takes objects to fall from different heights. After fifty trials, you calculate an 80% confidence interval for the location of the true gravitational constant. However, your colleagues request a 95% confidence interval so that they can better manage the risk of an orbital maneuver.

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14. Confidence intervals 2
Imagine you are estimating gravity on another world by timing how long it takes objects to fall from different heights. After fifty trials, you calculate an 80% confidence interval for the location of the true gravitational constant. However, your
colleagues request a 95% confidence interval so that they can better manage the risk of an orbital maneuver.
How does the new 95% confidence interval compare to the old 80% confidence interval?
Pick ONE option
O
The new interval is narrower.
The new interval is wider.
The new interval is the same size, but our point estimate for the gravitational constant will have changed.
We cannot say whether the new interval is wider or narrower from the information given.
Transcribed Image Text:14. Confidence intervals 2 Imagine you are estimating gravity on another world by timing how long it takes objects to fall from different heights. After fifty trials, you calculate an 80% confidence interval for the location of the true gravitational constant. However, your colleagues request a 95% confidence interval so that they can better manage the risk of an orbital maneuver. How does the new 95% confidence interval compare to the old 80% confidence interval? Pick ONE option O The new interval is narrower. The new interval is wider. The new interval is the same size, but our point estimate for the gravitational constant will have changed. We cannot say whether the new interval is wider or narrower from the information given.
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