Cholesterol is a fatty substance that is an important part of the outer lining(membrane) of cells in the body of animals. Suppose that the mean and standarddeviation for a population of individuals are 180 mg/dl and 20 mg/dl, respectively.Samples are obtained from 25 individuals, and these are independent.(a) What is the probability that the average of the 25 measurements exceeds 185mg/dl?(b) Determine symmetric limits around 180 such that the probability that thesample average is within the limits equals 0.95.

The mean cholesterol level for the assumed 25 individuals (i.e., x¯), the z-score is given as:…

Answered: Cholesterol is a fatty substance that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 251.5 and a standard deviation of 69.1. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 44.2 and 458.8? b. What is the approximate percentage of women with platelet counts between 113.3 and 389.7? a. Approximately% of women in this group have platelet counts within 3 standard deviations of the mean, or between 44.2 and 458.8. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 113.3 and 389.7. (Type an integer or a decimal. Do not round.)
A medical research team at the university is investigating the effectiveness of a new medical treatment for a rare disease. Data indicates that under the current treatment, patients have a mean white blood cell count of 23 cells/cc (cubic centimeter). This distribution is understood to be normally distributed, but the population standard deviation is not known. The new treatment will only be deemed effective if it significantly increases the patient’s white blood cell count above 23 cells/cc. The team has applied the treatment to a random sample of 10 patients. They have reported the following blood cell counts: 21, 25, 18, 24, 19, 25, 22, 20, 27, 25 At α = .01, is the new treatment effective?
Suppose that the mean cranial capacity for men is 1190 cc (cubic centimeters) and that the standard deviation is 300 cc. Assuming that men's cranial capacities are normally distributed, complete the following statements. (a) Approximately 99.7% of men have cranial capacities between I cc and cc. (b) Approximately ? of men have cranial capacities between 590 cc and 1790 cc.
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Assume blood-glucose levels in a population of adult women are approximately normally distributed with mean 90 mg/dL and standard deviation 13 mg/dL. - Suppose the "abnormal range" were defined to be glucose levels outside of 1 standard deviation of the mean (i.e., either at least 1 standard deviation above the mean, or at least 1 standard deviation below mean). What percentage of individuals would be called "abnormal" and need to be retested?
Suppose that Melanie is a researcher who wishes to estimate the mean birthweight of full-term babies in her hospital. What is the minimum number of babies should she sample if she wishes to be at least 90% confident that the mean birthweight of the sample is within 225 grams of the the mean birthweight of all babies? Assume that the distribution of birthweights at her hospital is normal with a standard deviation of 600 g.
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 260.4 and a standard deviation of 60.2. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0? b. What is the approximate percentage of women with platelet counts between 140.0 and 380.8? ..I. a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0. (Type an integer or a decimal. Do not round.)
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 88 and standard deviation σ = 21. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 140 (borderline diabetes starts at 140)
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is μ = 7.2.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with sample standard deviation s = 3.3. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (a) What is the level of significance? State the null hypothesis H0 and the alternate hypothesis H1 . H0 : μ ---Select--- ≤ < > ≠ ≥ = H1 : μ ---Select--- ≥ < > ≤ = ≠ (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is unknown. The Student's t,…

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