Use Simpson's Rule to Approximate the Integral with Answers Rounded $$\int _ { - 1 } ^ { 1 } \sqrt { x ^ { 2 } + 1 } d x ; \quad n = 6$$

question 137

Multiple Choice

Use Simpson's Rule to approximate the integral with answers rounded to four decimal places.
$$\int _ { - 1 } ^ { 1 } \sqrt { x ^ { 2 } + 1 } d x ; \quad n = 6$$

• A) \(2.0076\)
• B) \(2.9504\)
• C) \(2.6098\)
• D) \(2.2955\)

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Definitions:

Null Hypothesis

A statistical hypothesis that assumes no significant difference or effect exists among the tested groups or variables.

Chi-Square Test

A statistical test used to determine if there is a significant difference between observed frequencies and expected frequencies in categorized datasets.

Independence

A situation in statistics where two events are not influenced by each other, and the occurrence of one does not affect the probability of occurrence of the other.

Chi-Square Statistic

A statistical measure used to evaluate the differences between observed and expected frequencies in categorical variables.