A Random Sample of Size 15 Is Drawn from a Continuous

question 27

Multiple Choice

A random sample of size 15 is drawn from a continuous and symmetric probability distribution with mean $\mu .$ In testing $H _ { o } : \mu = 300 \text { versus } H _ { a } : \mu \neq 300$ using the Wilcoxon signed-rank test with approximate level of significance of .05, the rejection region for the test is

• A) \(s _ { + } \geq 95\)
• B) \(s _ { + } \leq 25\)
• C) either \(s _ { + } \geq 95\)
• Or \(s _ { + } \leq 25\)
• D) \(s _ { + } \leq 95\)
• E) \(s _ { + } \geq 25\)

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Definitions:

Significance Level

The threshold under which the null hypothesis is rejected in statistical testing, commonly denoted by alpha.

Critical Value

A threshold in hypothesis testing, determined by the chosen significance level, above which the null hypothesis is rejected.

Predictor Variables

Variables in statistical models used to predict or explain changes in a response variable, similar to independent variables.

Sample Data Points

Specific values or subsets selected from a larger dataset or population that are analyzed to infer properties of the whole population.