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Help?! Stats test tomorrow and very confused Watch

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    Hi!

    I have a statistics exam tomorrow and am having trouble with one of the questions on the study guide...I've been working on it all day to little avail and would really appreciate some guidance with it.

    2. Dutch male adolescents have a mean height of 72 inches with a standard deviation of 3 inches. For this problem, use fractions and approximating instead of calculators. Using round figures will make your life easier and show quantities more neatly.
    (a) Draw a carefully labeled diagram of the population distribution.
    (b) Find and interpret the first quartile of this distribution; what does the first quartile tell us?
    (c) For a sample size of n=5 (assumep(5) = 9 4, draw a carefully labeled diagram of the sampling distribution for the mean height, ¯ x.
    (d) Find and interpret the first quartile of this distribution; what does the first quartile tell us? (e) Estimate the standard error of the sampling distribution for ¯ x from the following data on Dutch heights: 76,68,73,71,72. Assume√8.5 = 3. Is it approximately : 3, 1.5, 4 3, .75 or 3 16?
    (f) Assume the population mean µ = 72. Find the first quartile of the distribution in part
    (e) and explain the difference, if any, between this and the first quartiles in the previous two distributions.


    I've got (a) and (b), but I'm really struggling with (c). Any advice?
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    (Original post by who1963)
    Hi!

    I have a statistics exam tomorrow and am having trouble with one of the questions on the study guide...I've been working on it all day to little avail and would really appreciate some guidance with it.

    2. Dutch male adolescents have a mean height of 72 inches with a standard deviation of 3 inches. For this problem, use fractions and approximating instead of calculators. Using round figures will make your life easier and show quantities more neatly.
    (a) Draw a carefully labeled diagram of the population distribution.
    (b) Find and interpret the first quartile of this distribution; what does the first quartile tell us?
    (c) For a sample size of n=5 (assumep(5) = 9 4, draw a carefully labeled diagram of the sampling distribution for the mean height, ¯ x.
    (d) Find and interpret the first quartile of this distribution; what does the first quartile tell us? (e) Estimate the standard error of the sampling distribution for ¯ x from the following data on Dutch heights: 76,68,73,71,72. Assume√8.5 = 3. Is it approximately : 3, 1.5, 4 3, .75 or 3 16?
    (f) Assume the population mean µ = 72. Find the first quartile of the distribution in part
    (e) and explain the difference, if any, between this and the first quartiles in the previous two distributions.


    I've got (a) and (b), but I'm really struggling with (c). Any advice?
    I'm a bit confused - what is p(5) = 9 4?
 
 
 
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