Jim Gym, a high school basketball coach, wants to analyze the height of the boys at his school. He knows their height is normally distributed so he can use the standard normal distribution. He measures the height of 100 randomly selected boys. Next, he calculates the mean and standard deviation of their heights. The mean is 66 inches and the standard deviation is 5 inches. Jim uses the normal distribution table to calculate the number of boys in each segment of the distribution.

Question

amistre64 · Answer

Jim seems busy .....

anonymous · Answer

yes very!

amistre64 · Answer

there seems to be anough information given to answer some question ... but there isnt any question posted that relates to the information

anonymous · Answer

Standard Deviation	Percentage from table	Number of boys out of 100
-2 to -1 (a0 to 61 inches)		                                      14
-1 to 0 (61 to a2 inches)	34.1%	
0 to +1 (66 to 71 inches)	
+1 to +2 (71 to a6 inches)	13.6 %

anonymous · Answer

the a0, a2, and a6 are blank spaces for filling in

amistre64 · Answer

and of course they would correspond to the z values related to -2 sds, 0sds, and 2sds

anonymous · Answer

yes do you know the chart because I have it

amistre64 · Answer

since the distribution is symetric about the mean, we can fill in some of this stuff


-2 to -1 (a0 to 61 inches)   13.6%       14

-1 to 0 (61 to a2 inches)	34.1%	n

0 to +1 (66 to 71 inches)	34.1%        n

+1 to +2 (71 to a6 inches)	13.6 %	 14

anonymous · Answer

so how do I find the others?

amistre64 · Answer

out of well, since 34.1 percent of 100 is 34.1 boys, lets say thats 35

amistre64 · Answer

or should we round down to 34 since they rounded up the other 2?

amistre64 · Answer

i say round up since we have the 3sds to cover any slack with

anonymous · Answer

that seems too low.

anonymous · Answer

yes round up

amistre64 · Answer

-2 to -1 (a0 to 61 inches)   13.6%       14

-1 to 0 (61 to a2 inches)	34.1%	35

0 to +1 (66 to 71 inches)	34.1%        35

+1 to +2 (71 to a6 inches)	13.6 %	 14

amistre64 · Answer

since the sd is 5 ... that means there is a range of 5 between each .... thing they give you

amistre64 · Answer

a0 + 5 = 61
61+5 = a2
66 + 5 = 71
71+5 = a6

anonymous · Answer

that makes perfect sense!!

amistre64 · Answer

i know right!!  :)  you should be able to wrap this up now

anonymous · Answer

of course thank you very much!! i hope I do good;)