Given the Following Information About a Hypothesis Test of the Difference

question 22

Multiple Choice

Given the following information about a hypothesis test of the difference between two means based on independent random samples,estimate the standard deviation of the difference between the two means.Assume that the samples are obtained from normally distributed populations having equal variances.
H_A: ?_A > ?_B, $\bar { X }$
₁ = 12, $\bar { X }$
₂ = 9,s₁ = 5,s₂ = 3,n₁ = 13,n₂ = 10.

• A)1.792
• B)1.679
• C)2.823
• D)3.210
• E)1.478

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Definitions:

Correlational Research

A type of non-experimental research method used to determine, describe, and predict how variables are naturally related in the real world without any experimental manipulation by the researcher.

Two-Tailed

Pertaining to tests of statistical significance that consider both directions of effects, allowing for the assessment of the possibility of both positive and negative differences.

Sample Size

The number of observations or data points collected in a study.

Statistical Procedure

A statistical procedure involves methods and operations applied on data to analyze, interpret, or draw conclusions from it.