Test the Claim About the Population Mean μ at the Level

question 81

Multiple Choice

Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Claim: $\mu \leq 47 ; \alpha = 0.01 ; \sigma = 4.3$
Sample statistics: $\bar { x } = 48.8 , n = 40$

• A)Reject \(\mathrm { H } _ { 0 }\) There is enough evidence at the 1% level of significance to reject the claim.
• B)Fail to reject \(\mathrm { H } _ { 0 }\) There is enough evidence at the 1% level of significance to support the claim.
• C)Not enough information to decide.

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Definitions:

Peripheral Nervous Systems

The portion of the nervous system consisting of nerves and ganglia outside of the brain and spinal cord, connecting the limbs and organs to the central nervous system.

Central

Pertaining to the most important or core part of something, often indicating its significance or pivotal role.

Somatic Nervous System

Division of the peripheral nervous system that controls skeletal muscles and relays sensory signals about movements and external conditions.

Skeletal Muscles

Muscles attached to the bones of the skeleton, responsible for voluntary movements of the body.