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MAT 110 Normal Curve 4. Healthy domesticated kittens have an average weight of 24.5 ounces with a standard deviation of 5.25 oz. The distribution is normal. Use the 68-95-99.7 rule to answer the following. 1. The length of elephant pregnancies from conception to birth has a distribution that is normal with a mean of 525 days and a standard deviation of 32 days. Use the 68-95-99.7 rule to answer the following. Answer Answer a) What percent of healthy domesticated kittens have a weight that is between 24.5 oz. and a) What percent of pregnant elephants have a pregnancy that is between 557 days and 589 days? 40.25 oz.? b) What percent of pregnant elephants have a pregnancy that is between 429 days and 461days? b) What percent of healthy domesticated kittens have a weight that is between 14 oz. and 35 DZ.? c) What percent of pregnant elephants have a pregnancy that is more than 621 days? c) What percent of healthy domesticated kittens have a weight that is less than 19.25 oz.? If we d) What percent of pregnant elephants have a pregnancy that is between 525 days and 557 days? have a group of 250 kittens, how many of the 250 kittens can we expect to have a weight of less than 19.25 oz.? e) What percent of pregnant elephants have a pregnancy that is less than 493 days? d) What percent of healthy domesticated kittens have a weight that is less than 8.75 oz.? If we have a group of 250 kittens, how many of the 250 kittens can we expect to have a weight of less than 8.75 oz.? 2. When robin eggs are weighed, it turns out that the weights have a normal distribution with a mean of 17.5 mg and a standard deviation of 3.5 mg. Use the 68-95-99.7 rule to answer the following. e) What percent of healthy domesticated kittens have a weight that is between 8.75 oz. and 29.75 oz.? If we have a group of 250 kittens, how many of the 250 kittens can we expect to Answer have a weight that is between 8.75 oz. and 29.75 oz.? a) What percent of robin eggs have a weight that is between 10.5 mg and 17.5 mg? b) What percent of robin eggs have a weight that is between 7 mg and 10.5 mg? 5. The mean cholesterol level in US children is 175 mg/dL with a standard deviation of 35 mg/dL. Although the level in c) What percent of robin eggs have a weight that is more than 28 mg? US children varies from child to child, the distribution for all US children has a normal distribution. Use the 68-95- 99.7 rule to answer the following. d) What percent of robin eggs have a weight that is between 21 mg and 28 mg? Answer e) What percent of robin eggs have a weight that is between 14 mg and 21 mg? a) What percent of children have a cholesterol level that is between 70 mg/dL and 280 mg/dL? b) What percent of children have a cholesterol level that is between 105 mg/dL and 210 mg/dL 3. A forest product company claims that the amount of usable lumber in harvested trees averages 172 cubic feet and In a group of 750 children, how many do you expect to have a cholesterol level between 105 has a standard deviation of 12.4 cubic feet. Assume the distribution have a normal distribution. Use the 68-95-99.7 210 mg/dL? rule to answer the following. c) What percent of children have a cholesterol level that is more than 175 mg/dL? In a group of Answers 750 children, how many do you expect to have a cholesterol level above 175 mg/dL? a) When trees are harvested, what percent of trees contain more than 159.6 cubic feet of usable lumber? d) What percent of children have a cholesterol level that is between 210 mg/dL and 280 mg/dL? b) When trees are harvested, what percent of trees contain less than 172 cubic feet of usable e) What percent of children have a cholesterol level that is between 140 mg/dL and 245 mg/dL? lumber? In a group of 750 children, how many do you expect to have a cholesterol level between 140 Of 2000 harvested trees, how many do we expect to have between 147.2 and 196.8 cubic mg/dL and 245 mg/dL? feet of usable lumber? d) When trees are harvested, what percent of trees contain less than 209.2 cubic feet of usable lumber? Of 2000 harvested trees, how many do we expect to have between 134.8 and 184.4 cubic feet of usable lumber
