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help4068
20.12.2019 •
Mathematics
The height of women ages 20-29 is normally distributed, with a mean of 64.9 inches. assume sigmaequals2.3 inches. are you more likely to randomly select 1 woman with a height less than 66 inches or are you more likely to select a sample of 27 women with a mean height less than 66 inches? explain.
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Ответ:
To select a sample of 27 women with a mean height less than 66 inches is more likely than to randomly select 1 woman with a height less than 66 inches
Step-by-step explanation:
1) The probability of randomly selecting 1 woman with a height less than 66 inches is
P(z<z(66)) where z(66) is the z-score of the woman whose height is 66 inches.
z score can be calculated using the formula
z(66)=
where
X =66 inchesM is the mean height of women aged 20-29 (64.9 inches)s is the standard deviation (2.3 inches)Then z(66)=
≈ 0.48
and P(z<0.48) = 0.6844
2) The probability of selecting a sample of 27 women with a mean height less than 66 inches can be calculated using the equation
t=
where
X = 66 inchesM is the average height of women aged 20-29 (64.9 inches)s is the standard deviation (2.3 inches)N is the sample size (27)t=
≈ 2.49
looking t-table P(t<2.49)≈0.9903
Since 0.9903>0.6844 we can conclude that to select a sample of 27 women with a mean height less than 66 inches is more likely than to randomly select 1 woman with a height less than 66 inches
Ответ:
ANSWER
7 units left, 8 units down
EXPLANATION
The given function is
This is a function obtained by applying two transformations to the parent function,
The transformations are of the form
This transformation with shift the graph of the parent function k units to the left and c units down.
Therefore f(x) is the graph of g(x) shifted to the left 7 units and down 8 units.