Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Use the Normal model N(1181,57) for the weights of steers. a) What weight repres

ID: 3365097 • Letter: U

Question


Use the Normal model N(1181,57) for the weights of steers. a) What weight represents the 68th percentile? b) What weight represents the 97th percentile? c) What's the IQR of the weights of these steers? a) The weight representing the 68th percentile is (Round to the nearest whole number as needed.) pounds. b) The weight representing the 97th percentile is pounds (Round to the nearest whole number as needed.) c) The IQR for the weights of these steers is pounds. (Round to the nearest whole number as needed.)

Explanation / Answer

a) z score corresponding to 68th percentile = 0.47

Hence,

Weight representing 68th percentile = 1181 + 0.47*57 = 1208

b) z score corresponding to 97th percentile = 1.88

Hence,

Weight representing 68th percentile = 1181 + 1.88*57 = 1288

c) IQR = Difference of weights carrying middle 50% of the area = 1219.4459 - 1142.5541 = 77