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andriy [413]
3 years ago
5

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)
Mathematics
1 answer:
maw [93]3 years ago
3 0
Given:
<span>population mean of μ = 63.5 inches
population standard deviation of σ = 2.5 inches
</span><span>adult woman who has a height of 50.4 inches
</span>
<span>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. </span>
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