Heights of adult women in the united states are normally distributed with a population mean of μ = 63.5 inches and a population standard deviation of σ = 2.5. a medical researcher is planning to select a large random sample of adult women to participate in a future study. what is the standard value, or z-value, for an adult woman who has a height of 50.4 inches? (calculate to 1 decimal)

Question

Ansley Morrow

Mathematics

24 September, 01:42

Heights of adult women in the united states are normally distributed with a population mean of μ = 63.5 inches and a population standard deviation of σ = 2.5. a medical researcher is planning to select a large random sample of adult women to participate in a future study. what is the standard value, or z-value, for an adult woman who has a height of 50.4 inches? (calculate to 1 decimal)

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Clinton Weeks · Answer 1

Given:

population mean of μ = 63.5 inches

population standard deviation of σ = 2.5 inches

adult woman who has a height of 50.4 inches

z = (x - μ) / σ

z = (50.4 - 63.5) / 2.5 = - 13.1 / 2.5 = - 5.24

The z-value of an adult woman who has a height of 50.4 inches is - 5.24 or - 5.24 standard deviation below the mean.