In Testing Whether the Means of Two Normal Populations Are $\bar { X } _ { 1 }$

question 65

Multiple Choice

In testing whether the means of two normal populations are equal, summary statistics computed for two independent samples are as follows: n1 = 25, $\bar { X } _ { 1 }$ = 7.30, s1 = 1.05.
N2 = 30, $\bar { X } _ { 2 }$ = 6.80, s2 = 1.20.
Assume that the population variances are equal. Then the standard error of the sampling distribution of the sample mean difference $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is equal to:

• A)0.3072.
• B)0.0917.
• C)0.3028.
• D)0.0944.

---

Definitions:

Artistic Ability

The talent or skill in creating works of art, such as painting, drawing, sculpture, music, literature, or dance, embodying creative and aesthetic qualities.

Intelligence Tests

Tests that assess a person’s intellectual strengths and weaknesses.

Musical Ability

The capacity to comprehend, produce, or perform music, often involving skills such as pitch and rhythm recognition.

Culture-Fair Tests

Assessments designed to minimize the influence of cultural, social, and educational biases on test performance, aiming for equal fairness across diverse groups.