THE Next Questions Are Based on the Following Information

question 25

Multiple Choice

THE Next Questions Are Based On The Following Information:
A large milling machine produces steel rods to certain specifications.The machine is considered to be running normally if the standard deviation of the diameter of the rods is at most 0.15 millimeters.The line supervisor needs to test the machine is for normal functionality.The quality inspector takes a sample of 25 rods and finds that the sample standard deviation is 0.19.
-What are the null and alternative hypotheses for the test?

• A)H₀ : σ² > 0.15 and H₁ : σ² ≤ 0.15
• B)H₀ : σ ≥ 0.15 and H₁ : σ < 0.15
• C)H₀ : σ = 0.0225 and H₁ : σ ≠ 0.0225
• D)H₀ : σ² ≤ 0.0225 and H₁ : σ² > 0.0225

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Definitions:

Mental Processes

Mental processes encompass all the operations of the mind, including perception, memory, thinking, and emotion, which underlie individual human behavior.

Formation of Personality

The process through which one's character, behavior patterns, and emotional responses are developed, influenced by genetics, environment, and experiences.

Constructs

Abstract concepts developed in the mind to understand and interpret the world around us.

Intellectual Hypothesis

A tentative explanation or theory that seeks to interpret or solve cognitive, philosophical, or theoretical issues.