Question
1) A livestock company reports that the mean weight of a group of young steers is 1142 pounds with a standard deviation of 80 pounds.
1) A livestock company reports that the mean weight of a group of young steers is 1142 pounds with a standard deviation of 80 pounds. Based on the model N(1142,80) for the weights ofsteers:
a) ___% of steers have weights above 1250 pounds. (Round to one decimal place asneeded.)
b) ___% of steers have weights below 950 pounds. (Round to one decimal place asneeded.)
c) ___% of the steers weigh between 1050 and 1100 pounds.(Round to one decimal place asneeded.)
2) Based on the model N(1157,83) describing steerweights, what are the cutoff values for
a) The cutoff weight for the highest10% of the steer weights is ___ pounds. (Round to one decimal place asneeded.)
b) The cutoff weight for the lowest20% of the steer weights is ___ pounds. (Round to one decimal place asneeded.)
c) The cutoff for the middle40% of the steer weights are ___ and ___ pounds. (Round to one decimal place asneeded.)
3) Use the Normal model N(1181, 81) for the weights of steers.
a) What weight represents the 33rd percentile? (Round to the nearest whole number asneeded.)
b) What weight represents the 93rd percentile? (Round to the nearest whole number asneeded.)
c) What's the IQR of the weights of thesesteers? (Round to the nearest whole number asneeded.)
4) The cholesterol levels of an adult can be described by a normal model with a mean of 187 mg/dL and a standard deviation of 27.
a) What percent of adults do you expect to have cholesterol levels over 210 mg/dL? (Round to two decimal places asneeded.)
b) What percent of adults do you expect to have cholesterol levels between 140 and 160 mg/dL? (Round to two decimal places asneeded.)
c) Estimate the interquartile range of cholesterol levels. IQR = ___ mg/dL (Round to the nearest integer asneeded.)
d) Above what value are the highest15% ofadults' cholesterollevels? ___ mg/dL (Round to the nearest integer asneeded.)
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