A Random Sample of Size 36 Is Taken from a Population

question 124

Multiple Choice

A random sample of size 36 is taken from a population with mean µ = 17 and standard deviation σ = 6. What are the expected value and the standard deviation for the sampling distribution of the sample mean?

• A) 0.425 and 1.00
• B) 0.425 and 2.83
• C) 17 and 1.00
• D) 17 and 2.83

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Definitions:

Test Statistic

A measure calculated from sample data to make inferences about a population parameter.

Rejection Region

The range of values for which the null hypothesis is rejected in a hypothesis testing scenario.

Degrees of Freedom

The count of distinct variables or measurements that can change in an investigation without breaking any limitations.

One-way ANOVA

One-way Analysis of Variance (ANOVA) is a statistical method used to test the equality of three or more means across different groups based on a single independent variable.