Given the Following Information About a Hypothesis Test of the Difference

question 162

Multiple Choice

Given the following information about a hypothesis test of the difference between two means based on independent random samples from two normally distributed populations with unknown but equal variances,which one of the following is the correct rejection region at a significance level of .05?
H_A: ?_A > ?_B, $\bar { X }$
₁ = 12, $\bar { X }$
₂ = 9,s₁ = 3,s₂ = 2,n₁ = 13,n₂ = 10.

• A)Reject H₀ if z > 1.96
• B)Reject H₀ if z > 1.645
• C)Reject H₀ if t > 1.721
• D)Reject H₀ if t > 2.08
• E)Reject H₀ if t > 1.782

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Definitions:

Overgeneralization

The cognitive bias involving the extension of conclusions or rules to broader contexts than is justified by the evidence, often seen in language acquisition and stereotyping.

Overregularization

A phenomenon in language learning in which children apply regular grammatical patterns to words that are exceptions to the rule.

Overextension

A language development error in which a child applies a word to more objects than it actually represents, demonstrating an understanding but not precise use of words.

Oversemanticizing

The process of excessively analyzing or interpreting the meanings of words beyond their direct or literal context.