Suppose You Want to Build a 95% Confidence Interval for the ATE

question 39

Multiple Choice

Suppose you want to build a 95% confidence interval for the ATE when the average outcome for the treated (55 subjects) is 12, with a sample standard deviation of 4, while the average outcome for the control (65 subjects) is 10, with a sample standard deviation of 6. Which of the following would be the proper confidence interval?

• A) 0 ± 1.96 \(\left( \sqrt { \frac { 4 ^ { 2 } } { 55 } + \frac { 6 ^ { 2 } } { 65 } } \right)\)
• B) 0 ± 2.58 \(\left( \sqrt { \frac { 4 ^ { 2 } } { 55 } + \frac { 6 ^ { 2 } } { 65 } } \right)\)
• C) (12 - 10) ± 1.96 \(\left( \sqrt { \frac { 4 ^ { 2 } } { 55 } + \frac { 6 ^ { 2 } } { 65 } } \right)\)
• D) 0 ± 1.96 \(( \sqrt { ( 55 + 65 } )\)

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Altered or modified from an original state or condition.

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The duration needed to complete a process or reach a specific outcome.

Upheaval Dome

A geological structure that appears as a dome-shaped uplift, possibly formed by salt diapirism, impact events, or other processes.

Rising Salt Mass

The upward movement of salt within the Earth's crust due to its buoyancy, often leading to the formation of salt domes.