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A Laptop Battery Lifespan Follows a Normal Distribution with Mean σ\sigma

question 13

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A laptop battery lifespan follows a normal distribution with mean μ = 22 months and a standard deviation σ\sigma = 6 months.To test the alternative hypothesis that μ < 22 with α = .05, 36 laptop batteries are randomly selected.Assuming that μ = 21, the probability of type II error is approximately ________.


Definitions:

Mental Retardation

An outdated and offensive term for intellectual disability, which is characterized by significant limitations in intellectual functioning and adaptive behavior, originating before the age of 18.

Zygote

The initial cell formed when a sperm cell and an egg cell merge at conception, representing the earliest stage of human development.

Embryo

An embryo is an early stage of development in multicellular organisms, in humans, it specifically refers to the period from fertilization until the end of the eighth week of gestation.

Germinal

Pertains to the earliest stage of development in both plants and animals; in human embryology, it refers to the first two weeks of prenatal development.

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