Use Simpson's Rule With $n = 6$ To Estimate the Length of the Curve

question 26

Multiple Choice

Use Simpson's Rule with $n = 6$ to estimate the length of the curve $y = 3 \sin x , 0 \leq x \leq \pi$ . Round your answer to six decimal places.

• A) \(6.987208\)
• B) \(6.947368\)
• C) \(6.972089\)
• D) \(6.947582\)
• E) None of these

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Definitions:

Independent Sample Variances

Variability measures of two or more independent samples, analyzed to understand difference across populations.

F Distribution

A probability distribution that arises in the analysis of variance tests, used to calculate and interpret the ratio of variances to determine statistical significance.

Null Hypothesis

A statement used in statistics that proposes there is no significant difference or effect and that any observed differences are due to chance.

Population Variance

Population Variance is a measure of the dispersion of all the values in a population from the mean, highlighting how spread out the population data points are.