Question
Scientists discovered a new group of proteins in an animal species. They found that the distribution of the number of amino acids these proteins were
Scientists discovered a new group of proteins in an animal species. They found that the distribution of the number of amino acids these proteins were made of was approximately Normal with mean 530 and standard deviation 80. About what percent of these new proteins will be between 370 and 690 amino acids long?
A.95%
B.68%
C.99.7%
3.The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. The proportion of batteries with lifetimes exceeding 520 hours is approximately
A.0.5793.
B.0.4207.
C.0.2000.
4.Too much cholesterol in the blood increases the risk of heart disease. The cholesterol levels of young women aged 20 to 34 vary approximately Normally with mean 185 milligrams per deciliter (mg/dl) and standard deviation 39 mg/dl. Cholesterol levels for middle-aged men vary Normally with mean 222 mg/dl and standard deviation 37 mg/dl. Sandy is a young woman with a cholesterol level of 220. Her father has a cholesterol level of 250. Who has relatively higher cholesterol?
A.Sandy's father
B.Impossible to tell because of the scaling.
C.Sandy
5.Too much cholesterol in the blood increases the risk of heart disease. The cholesterol levels of young women aged 20 to 34 vary approximately normally with mean 185 milligrams per deciliter (mg/dl) and standard deviation 39 mg/dl. About what percent of young women in this age group will have cholesterol levels less than 150 mg/dl?
A.18.5%
B.81.5%
C.90%
6.Scientists discovered a new group of proteins in an animal species. They found that the distribution of the number of amino acids these proteins were made of was approximately Normal with mean 530 and standard deviation 80. About what percent of these new proteins will be between 490 and 590 amino acids long?
A.77.3%
B.46.5%
C.30.9%
7.Heights of young adult women in the United States are approximately Normal with mean 64'' and standard deviation 2.7''. What proportion of all young adult women in the United States are taller than 6 feet?
A.1.5%
B.99.85%
C.0.15%
8.The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than
A.536.00 hours.
B.517.28 hours.
C.541.60 hours.
9.The most common intelligence quotient (IQ) scale is Normally distributed with mean 100 and standard deviation 15. Many school districts across the country seek to identify "Gifted and Talented" children for special enrichment programs. Typically, these children must have IQ scores in the top 5%. What is the minimum score to qualify a child for these programs?
A.125
B.115
C.130
10.Scientists discovered a new group of proteins in an animal species. They found that the distribution of the number of amino acids these proteins were made of was approximately Normal with mean 530 and standard deviation 80. Ten percent of these proteins are to be labeled as the "longest" proteins in the group. What is the lowest number of amino acids a protein from that new group needs in order to be labeled in the "longest" sub-group?
A.428
B.632
C.610
Heights of young adult women in the United States are approximately Normal with mean 64'' and standard deviation 2.7''. What proportion of all young adult women in the United States are taller than 6 feet? | ||||
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13. | The most common intelligence quotient (IQ) scale has a Normal distribution with mean 100 and standard deviation 15. Many school districts across the country seek to identify Gifted and Talented children for special enrichment programs. Typically, these children must have IQ scores in the top 5%. What is the minimum score to qualify a child for these programs? Round your answer to the nearest whole number. | |||
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14. | The gestation period for cats has an approximate mean of 64 days and a standard deviation of 3 days, and the distribution of the gestation period is approximately Normal. What gestation period corresponds to the top 10% of gestation periods? Round to the nearest tenth of a day. | ||||
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15. | The gestation period for cats has an approximate mean of 64 days and a standard deviation of 3 days, and the distribution of the gestation period is approximately Normal. What gestation period corresponds to the 25th percentile? Which answer is closest? | ||||
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