Find the standard deviation of the distribution in the following situations. (a) MENSA is an organization...
Find the standard deviation of the distribution in the following
situations.
(a) MENSA is an organization whose members have IQs in the top 4%
of the population. IQs are normally distributed with mean 100, and
the minimum IQ score required for admission to MENSA is 131.
σ=
(b) Cholesterol levels for women aged 20 to 34 follow an
approximately normal distribution with mean 188 milligrams per
deciliter (mg/dl). Women with cholesterol levels above 223 mg/dl
are considered to have high cholesterol and about 19% of women fall
into this category. σ=
Homework Answers
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Find the standard deviation of the distribution in the following
situations.
(a) MENSA is an organization...
Find the standard deviation of the distribution in the following situations. n (a) MENSA is an...
Find the standard deviation of the distribution in the following situations. n (a) MENSA is an organization whose members have IQs in the top 4% of the population. IQs are normally distributed with mean 100, and the minimum IQ score required for admission to MENSA is 134. σ= (b) Cholesterol levels for women aged 20 to 34 follow an approximately normal distribution with mean 182 milligrams per deciliter (mg/dl). Women with cholesterol levels above 215 mg/dl are considered to have high...
Cholesterol levels for women aged 20 to 34 follow an approximately normal distribution with mean 185...
Cholesterol levels for women aged 20 to 34 follow an approximately normal distribution with mean 185 milligrams per deciliter (mg/dl). Women with cholesterol levels above 220 mg/dl are con- sidered to have high cholesterol and about 18.5% of women fall into this category. What is the standard deviation of the distribution of cholesterol levels for women aged 20 to 34?
(1 point) Cholesterol levels for a group of women aged 20-29 follow an approximately normal distribution...
(1 point) Cholesterol levels for a group of women aged 20-29 follow an approximately normal distribution with mean 177.4 milligrams per deciliter (mg/dı). Medical guidelines state that women with cholesterol levels above 240 mg/dl are considered to have high cholesterol and about 3.5% of women fall into this category. 1. What is the Z score hat corresponds to the top 35% or the 96 5 th percenti e or the standard normal distribution? Round our answer to three decim a...
Cholesterol levels for women aged 20 to 34 follow a normal distribution with mean 185 milligrams...
Cholesterol levels for women aged 20 to 34 follow a normal distribution with mean 185 milligrams per deciliter (mg/dl) and standard deviation 40 mg/dl. What is the probability of randomly selecting a woman in this age range with a cholesterol level below 140 mg/dl? Note: As always, please give this probability in decimal form (i.e., 0.xxx).
Testing blood cholesterol. The distribution of blood cholesterol level in the popnudation of young men aged...
Testing blood cholesterol. The distribution of blood cholesterol level in the popnudation of young men aged 20 to 34 years is close to Nonal with mean 188 milligrams per deciliter (mg/dL) and standard deviation 41 mg/dL. You measure the blood cholesterol of 14 young men aged 20 to 34 years who have completed at least one marathon. The mean level is x = 172 mg/dL. Assume that σ is the same as in the general population. Use this information to...
59. Cholesterol Suppose that the blood cholesterol level of all men aged 20 to 34 follows...
59. Cholesterol Suppose that the blood cholesterol level of all men aged 20 to 34 follows the Normal distribution with mean μ-188 milligrams per deciliter (mg/dl) and standard deviation σ 41 mg/dl. (a) Choose an SRS of 100 men from this population Describe the sampling distribution of . (b) Find the probability that x estimates μ within +3 mg/dl. (This is the probability that i takes a value between 185 and 191 mg/dl.) Choose an SRS of 1000 men from...
Find the probability that a person has an IQ greater than 120. Include a sketch of...
Find the probability that a person has an IQ greater than 120. Include a sketch of the graph and shade the area under the normal curve corresponding to this probability. Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Sketch the graph and shade the area under the curve corresponding to this score and above. IQ scores between 90 and 110 are considered to be...
Suppose that the blood cholesterol levels of all men aged 20 to 34 years follows the...
Suppose that the blood cholesterol levels of all men aged 20 to 34 years follows the Normal distribution with mean 188 milligrams per deciliter (mg/dl) and standard deviation σ-41 mg/dl. (a) Choose an SRS of 100 men from this population. What is the sampling distribution of x The sampling distribution of is O N(188 mg/dl,41 mg/dl). O N(188 mg/dl, 4.1 mg/di) O N(18.8 mg/dl,41 mg/dl O N(18.8 mg/dl, 4.1 mg/dl) What is the probability that takes a value between 185...
A government sample survey plans to measure the LDL (bad) cholesterol level of an SRS of...
A government sample survey plans to measure the LDL (bad) cholesterol level of an SRS of men aged 20 to 34. Suppose that in fact the LDL cholesterol level of all men aged 20 to 34 follows the Normal distribution with mean μ = 119 milligrams per deciliter (mg/dL) and standard deviation σ = 25 mg/dL. Use Table A for the following questions, where necessary. (a) What is the probability that x takes a value between 116 and 122 mg/dL?...
I. Assume that z is normally distributed with a specified mean and standard deviation. Find the...
I. Assume that z is normally distributed with a specified mean and standard deviation. Find the indicated probabilities: c, p(x 120); μ 100 ; ơ--15 2. Find z such that 28% of the standard normal curve lies to the right of z. 3. A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter of blood. After a 12- hour fast, the random variable x will have a...
(1 point) Cholesterol levels for a group of women aged 20-29 follow an approximately normal distribution with mean 177.4 milligrams per deciliter (mg/dı). Medical guidelines state that women with cholesterol levels above 240 mg/dl are considered to have high cholesterol and about 3.5% of women fall into this category. 1. What is the Z score hat corresponds to the top 35% or the 96 5 th percenti e or the standard normal distribution? Round our answer to three decim a...
Testing blood cholesterol. The distribution of blood cholesterol level in the popnudation of young men aged 20 to 34 years is close to Nonal with mean 188 milligrams per deciliter (mg/dL) and standard deviation 41 mg/dL. You measure the blood cholesterol of 14 young men aged 20 to 34 years who have completed at least one marathon. The mean level is x = 172 mg/dL. Assume that σ is the same as in the general population. Use this information to...
59. Cholesterol Suppose that the blood cholesterol level of all men aged 20 to 34 follows the Normal distribution with mean μ-188 milligrams per deciliter (mg/dl) and standard deviation σ 41 mg/dl. (a) Choose an SRS of 100 men from this population Describe the sampling distribution of . (b) Find the probability that x estimates μ within +3 mg/dl. (This is the probability that i takes a value between 185 and 191 mg/dl.) Choose an SRS of 1000 men from...
Suppose that the blood cholesterol levels of all men aged 20 to 34 years follows the Normal distribution with mean 188 milligrams per deciliter (mg/dl) and standard deviation σ-41 mg/dl. (a) Choose an SRS of 100 men from this population. What is the sampling distribution of x The sampling distribution of is O N(188 mg/dl,41 mg/dl). O N(188 mg/dl, 4.1 mg/di) O N(18.8 mg/dl,41 mg/dl O N(18.8 mg/dl, 4.1 mg/dl) What is the probability that takes a value between 185...
I. Assume that z is normally distributed with a specified mean and standard deviation. Find the indicated probabilities: c, p(x 120); μ 100 ; ơ--15 2. Find z such that 28% of the standard normal curve lies to the right of z. 3. A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter of blood. After a 12- hour fast, the random variable x will have a...
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