Use the normal model N (1193, 63) for the weights of steers. A) what weight repr
ID: 3370886 • Letter: U
Question
Use the normal model N (1193, 63) for the weights of steers. A) what weight represent the 32nd percentile? B) what weight represents the 98th percentile? C) what’s the IQR of the weights of these steers?Round to the nearest whole number as needed. Use the normal model N (1193, 63) for the weights of steers. A) what weight represent the 32nd percentile? B) what weight represents the 98th percentile? C) what’s the IQR of the weights of these steers?
Round to the nearest whole number as needed. A) what weight represent the 32nd percentile? B) what weight represents the 98th percentile? C) what’s the IQR of the weights of these steers?
Round to the nearest whole number as needed.
Explanation / Answer
A)
mu= 1193
sigma= 63
X= unknown
probability= 0.32
z-score for probability=-0.4677
Z=(X-mu)/sigma
x=(mu+Z*sigma)
X=1193-0.4677*63
x= 1163.534976
rounded is 1164
B)
mu= 1193
sigma= 63
X= unknown
probability= 0.98
z-score for probability=2.0537
Z=(X-mu)/sigma
x=(mu+Z*sigma)
X=1193+2.0537*63
x= 1322.386
Rounded is 1322
C)
IQR= weight for 75 percentile - weight for 25 percentile
Weight for 25 percentile
mu= 1193
sigma= 63
X(25)= unknown
probability= 0.25
z-score for probability=-0.6744
Z=(X-mu)/sigma
x(25)=(mu+Z*sigma)
=1193-0.6744*63
x(25)=1150.507
Weight for 75 percentile
mu= 1193
sigma= 63
X(75)= unknown
probability= 0.75
z-score for probability=0.6745
Z=(X-mu)/sigma
x(75)=(mu+Z*sigma)
=1193+0.6745*63
x(75)= 1235.492
IQR=1235.492-1150.507
=84.985
IQR rounded =85
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