Calculate the Test Statistic F to Test the Claim That $$\sigma _ { 1 } ^ { 2 } \leq \sigma _ { 2 } ^ { 2 }$$

question 79

Multiple Choice

Calculate the test statistic F to test the claim that $$\sigma _ { 1 } ^ { 2 } \leq \sigma _ { 2 } ^ { 2 }$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. $$\begin{array} { l l } \mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 15 \\\\\mathrm {~s} _ { 1 } ^ { 2 } = 12.615 & \mathrm {~s} _ { 2 } ^ { 2 } = 11.76\end{array}$$

• A)1.073
• B)0.932
• C)1.036
• D)1.151

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Definitions:

Distress Tolerance

The ability to withstand and cope with emotional discomfort or pain, an important aspect of psychological resilience and mental health.

Dynamic Model

A representation or framework that simulates change within systems or processes over time, often used in various fields to understand complex interactions.

Acute Situation

An immediate, often critical scenario requiring urgent attention, which can refer to medical conditions or emergencies.

Cognitive Processes

The mental operations involved in perception, memory, thought, and problem-solving that are crucial for acquiring knowledge and understanding.