As reported by the U.S. National Center for Health Statistics, the mean serum high-density (HDL) cholesterol level of females 20-29 years old is 53 mg/dL with a standard deviation of 13.4. the variable is normally distributed. What is the probability that a randomly selected 20–29-year-old female has a serum HDL cholesterol level above 71? (Round answer to four decimal places.)
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- Mean (μ) = 53 mg/dL - Standard deviation (σ) = 13.4 mg/dL Show more…
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As reported by the US National Center for Health Statistics, the mean serum high-density-lipoprotein (HDL cholesterol of genetic females 20-29 years old is μ = 53.0. The standard deviation is σ = 12.0. Also, serum HDL cholesterol is normally distributed. (Statistics: Informed Decisions Using Data, Michael Sullivan, III) a. If one 20-29 year old genetic female is randomly selected, what is the probability that their HDL cholesterol is between 40 and 60? b. If four hundred females, aged 20-29 year old, are randomly selected, what is the probability that the sample mean HDL cholesterol level is between 52 and 54? c. What percentage of all samples of size ten-thousand will have a mean HDL cholesterol level that is between 52.5 and 53.5?
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As reported by the US National Center for Health Statistics, the mean serum high-density lipoprotein (HDL) cholesterol of genetic females aged 20-29 years is μ = 53.0. The standard deviation is σ = 12.0. Also, serum HDL cholesterol is normally distributed. (Statistics: Informed Decisions Using Data, Michael Sullivan, III) a. If one 20-29 year old genetic female is randomly selected, what is the probability that their HDL cholesterol is between 40 and 60? b. If four hundred females, aged 20-29 years old, are randomly selected, what is the probability that the sample mean HDL cholesterol level is between 52 and 54? c. What percentage of all samples of size ten thousand will have a mean HDL cholesterol level that is between 52.5 and 53.5?
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9. Serum Cholesterol As reported by The U.S. National Center for Health Statistics, the mean serum high-density-lipoprotein (HDL) cholesterol of females 20-29 years old is μ = 53. If serum HDL cholesterol is normally distributed with σ = 13.4, answer the following questions. (a) What is the probability that a randomly selected female 20-29 years old will have a serum cholesterol above 60? (b) What is the probability that a random sample of 15 female 20-29 year olds will have a mean serum cholesterol above 60? (c) What is the probability that a random sample of 20 female 20-29 years-olds will have a mean serum cholesterol above 60? (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. (e) What might you conclude if a random sample of 20 female 20-29-year-olds had a mean serum cholesterol above 60?
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