Question

11. Using the empirical rule, 68% of male heights should be between what two values? Either show work or explain how your answer was calculated.

Answer 1

You need the mean (average) and the standard deviation

http://davidmlane.com/hyperstat/z_table.html

Answer 2

The corelation coefficient is: r=0.9982

Step 1: Find X⋅Y, X^ 2 and Y ^2 as it was done in the table below.
X Y X⋅Y X⋅X Y⋅Y
67.273 69.78 4694.30994 4525.656529 4869.2484
0.764 1.40 1.0696 0.583696 1.96
2.533 4.21 10.66393 6.416089 17.7241
63.000 61.00 3843 3969 3721
65.000 67.50 4387.5 4225 4556.25
67.000 71.00 4757 4489 5041

Step 2: Find the sum of every column to get:
¡ÆX=265.57 , ¡ÆY=274.89 , ¡ÆX⋅Y=17693.54347 , ¡ÆX 2 =17215.656314 , ¡ÆY 2 =18207.1825

Step 3: Use the following formula to work out the correlation coefficient.
r = n⋅¡ÆXY−¡ÆX⋅¡ÆY/
[n¡ÆX 2 −(¡ÆX) 2 ]⋅[n¡ÆY 2 −(¡ÆY) 2 ]
¡Ì r = 6⋅17693.54347−265.57⋅274.89/ [6⋅17215.656314−265.57 2 ]⋅[6⋅18207.1825−274.89 2 ]
¡Ì ¡Ö0.9982

Answer 3

Thanks for the help...

Answer 4

Z = -1 to Z = +1