Evaluate the Integral $$\int _ { 0 } ^ { 1 / 2 } \frac { 4 d r } { \sqrt { 1 - r ^ { 2 } } }$$

question 9

Multiple Choice

Evaluate the integral. $$\int _ { 0 } ^ { 1 / 2 } \frac { 4 d r } { \sqrt { 1 - r ^ { 2 } } }$$

• A) \(\frac { \pi } { 4 }\)
• B) \(\frac { 1 } { 5 }\)
• C) \(\frac { \pi } { 5 }\)
• D) \(\frac { 1 } { 4 }\)
• E) \(\frac { 2 \pi } { 3 }\)

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Definitions:

Sign Test Statistic

A test that does not assume a specific data distribution, employed to evaluate if paired observations have a median that differs.

Sign Test

A nonparametric statistical test used to determine if there is a median difference between paired observations.

N

Often represents the sample size or the number of participants or observations in a study.

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