Determine Whether the Sample Sizes Are Large Enough to Conclude $$n _ { 1 } = 45 , n _ { 2 } = 52 , \hat { p } _ { 1 } = .3 , \hat { p } _ { 2 } = .6$$

question 10

Essay

Determine whether the sample sizes are large enough to conclude that the sampling distributions are approximately normal.
$$n _ { 1 } = 45 , n _ { 2 } = 52 , \hat { p } _ { 1 } = .3 , \hat { p } _ { 2 } = .6$$

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Definitions:

Thalamus

A part of the brain located just above the brain stem that plays a critical role in relaying sensory information and acting as a center for pain perception.

Pituitary Gland

A pea-sized gland located at the base of the brain, involved in controlling growth, metabolism, and reproductive functions.

Gonads

Gonads are the primary reproductive organs in animals, including testes in males and ovaries in females, responsible for producing gametes and sex hormones.

Adrenal Gland

An endocrine gland that produces various hormones including adrenaline and steroids affecting metabolism and stress response.