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In a sample of adult women from the United States, the average height was $164.4 \mathrm{cm}$ and the standard deviation was $6.2 \mathrm{cm} .$ Women who are more than 2 standard deviations above the mean are considered very tall, and women who are more than 2 standard deviations below the mean are considered very short. Height in women is normally distributed.a. What are the heights of very tall and very short women?b. In a population of 10,000 women, how many are expected to be very tall and how many very short?

Tall (176.8 cm, or two deviations above the mean; 164.4 + 12.4), short (152.0 cm, or twodeviations below the mean; 164.4 - 12.4)b. 400 total (200 tall and 200 short)

Biology

Chapter 19

The Inheritance of Complex Traits

The Cell

Mendelian Genetics

The Central Dogma - Gene Expression

Genomics and Biotechnology

Life - A Darwinian Approach

Population Evolution

University of North Carolina at Wilmington

Masinde Muliro University of Science and Technology

Amherst College

Lectures

0:00

In chemistry and physics, …

In biology, the elements o…

02:01

Height The average height …

05:40

In Exercise $8.1,$ page …

07:41

According to the National …

04:01

Husbands and wives The mea…

05:52

A random sample of 50 fem…

01:07

Men's heights A repor…

08:25

How tall? Refer to Exercis…

03:33

Normal Probability The mea…

02:32

A certain population has a…

05:17

Tall or short? Refer to Ex…

So we're looking for example, I know women for the United States and we know that their average heights on the 1 64 point force in the way we have to put this incident and still deviation so plus or minus 6.2 centimeters. So if you're both of your more than to stand deviations above this, you consider very top. So that's once and deviation have you to a list below. To most immunizations. Be low. This me, You're pretty sure. And you know the height has I continue with this. So what are the high, severe Atala? Very short women. And in a population of 2000 women having that speak to be bitter tolerate a short. So remember, we just need to double one standard deviation to get to stand aviation. So you're like because they're tall, you're only a 1 76 point. And so if you're short, no, me want to get you seven use. And if you have published in 2000 women following a normal distribution, we're going to speak Deals order total, but 200 feet tall and 200 to be short. And it is by no Mason calculations with this standard deviation

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