Suppose You Take a Random Sample from a Normally Distributed $\mu$

question 107

Essay

Suppose you take a random sample from a normally distributed population with mean
$\mu$ = 175 and compute the sample mean $\bar { x }$ .If $\sigma _ { \bar { x } } ^ { 2 }$ = 9,find P( $\bar { x }$ < 170).

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Definitions:

Deep Pressure

A form of tactile sensory input which involves the application of firm but gentle squeezes, hugs, or holding that calms the nervous system.

Light Touch

A sensory stimulus that is gentle and not forceful, often used in medical examinations to assess neurological function.

Sensory Receptors

Specialized cells or structures that detect external or internal environment stimuli and convert them into electrical impulses.

Pacinian Corpuscle

A type of nerve ending in the skin that detects pressure and vibration.