A Police Chief Wants to Determine If Crime Rates Are

question 1

Multiple Choice

A police chief wants to determine if crime rates are different for four different areas of the city (East(1) , West(2) , North(3) , and South(4) sides) , and obtains data on the number of crimes per day in each area. The one-way ANOVA table is shown below. The competing hypotheses about the mean crime rates are ________.

• A) H₀: μ₁ = μ₂ = μ₃, H_A: Not all population means are equal
• B) H₀: Not all population means are equal, H_A: μ₁ = μ₂ = μ₃
• C) H₀: μ₁ = μ₂ = μ₃ = μ₄, H_A: Not all population means are equal
• D) H₀: Not all population means are equal, H_A: μ₁ = μ₂ = μ₃ = μ₄

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Definitions:

Bootstrap Interval

A type of statistical interval estimate used to estimate the distribution of a statistic by resampling with replacement from the data.

BCa Interval

Bias-Corrected and accelerated interval, a type of confidence interval used in statistics to provide a range that is likely to contain the true population parameter, accounting for bias and skewness in the bootstrap distribution.

Bootstrap Distribution

A method in statistics for estimating the sampling distribution of an estimator by resampling with replacement from the original sample.

Bootstrap Confidence Interval

A type of confidence interval calculated by resampling a dataset with replacement and estimating the desired statistic multiple times.