Question

In: Statistics and Probability

Assuming that the heights of college women are normally distributed with mean 61 inches and standard...

Assuming that the heights of college women are normally distributed with mean 61 inches and standard deviation 3.4 inches, answer the following questions. (Hint: Use the figure below with mean μ and standard deviation σ.) (a) What percentage of women are taller than 61 inches? % (b) What percentage of women are shorter than 61 inches? % (c) What percentage of women are between 57.6 inches and 64.4 inches? % (d) What percentage of women are between 54.2 and 67.8 inches? %

Solutions

Expert Solution

X : heights of college women.

a).percentage of women are taller than 61 inches be:-

%

%

[ for getting :- in any blank cell of excel type =NORMDIST(61,61,3.4,TRUE) press enter ]

%

%

b). percentage of women are shorter than 61 inches be:-

%

[ for getting :- in any blank cell of excel type =NORMDIST(61,61,3.4,TRUE) press enter ]

%

%

c). percentage of women are between 57.6 inches and 64.4 inches be:-

%

%

[ in any blank cell of excel type =NORMDIST(57.6,61,3.4,TRUE) press enter

in any blank cell of excel type =NORMDIST(64.4,61,3.4,TRUE) press enter ]

%

%

%

d).percentage of women are between 54.2 and 67.8 inches be:-

%

%

[ in any blank cell of excel type =NORMDIST(54.2,61,3.4,TRUE) press enter

in any blank cell of excel type =NORMDIST(67.8,61,3.4,TRUE) press enter ]

%

%

%

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