Statistics

in a medical examination, 300 people undergo a height measurement and was found out that the average height of all are 150cm. if the standard deviation is 19, find the number of people that fall under the given conditions: a)with the height less than 132cm. b)with height from 140cm to 180cm. c)with height taller than 200cm d)with height from 160cm to 195cm. e) with height from 150cm to 200cm. f)Determine the range of height that includes the critical 60%of the people

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  1. Use Z=(X-μ)/σ
    where
    Z=z-score
    X=variable value
    μ=mean
    σ=standard deviation

    Assuming normal distribution, the left-tail normal distribution table gives the probability of the z-score (or less).

    Example, part (a):
    If N=300 and random sampling, we can assume normal distribution.
    μ=150 cm
    σ=19 cm
    x=132
    z=(132-150)/19=-0.9474
    P(X<132)=P(Z<-0.9474)=0.1717 (from left-tail normal probability tables)
    =>
    approximate number of people with heights <132 = 0.1717*300=51.52=52 persons

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  2. great

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  3. 1.In a medical examination,
    300 people undergo a height
    measurement and was found
    out that the average height of
    all are 150cm. If the standard
    deviation is 19, find the number of
    people that fall under the given
    conditions:a.With height less than
    132cm
    b.With height from 140cm to
    180cm
    c.With height taller than 200cm
    d.With height from 160cm to
    195cm
    e.With height from 150cm to 200cm
    f.Determine the range of height
    that includes the central 60%.
    g.45% of the people who
    undergo the medical examinations
    are qualified to be
    part of the varsity. What is the
    limit height to be part of the varsity?

    1. 👍
    2. 👎
  4. In a medical examination,
    300 people undergo a height
    measurement and was found
    out that the average height of
    all are 150cm. If the standard
    deviation is 19, find the number of
    people that fall under the given
    conditions:a.With height less than
    132cm
    b.With height from 140cm to
    180cm
    c.With height taller than 200cm
    d.With height from 160cm to
    195cm
    e.With height from 150cm to 200cm
    f.Determine the range of height
    that includes the central 60%.
    g.45% of the people who
    undergo the medical examinations
    are qualified to be
    part of the varsity. What is the
    limit height to be part of the varsity?

    1. 👍
    2. 👎

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