Suppose that measurements of cholesterol level in women inthe U.S. population aged 21-40 is normally distributed withmean 51 mg/dL. It is desired to test if the cholesterol levelamong Asian immigrants is different from those in thegeneral U.S. population. A study on a sample of 120 Asianwomen of age 21-40 yielded an average measurement of51.91 with a standard deviation of 5.The appropriate formulation of the testing problem is.Ho : μ < 51 ,Η : μ > 51Ho = 51,H₁ : μ #51μHo : μ > 51 ,Η : μ < 51Submit Answer Tries 0/3Refer to the previous probelm. What is the p-value of theobservations?0.04620.02310.9538Submit Answer Tries 0/3Refer to the previous problems. If a =0.0762, what is yourconclusion for the test?do not reject Horeject Ho

Answered: Image /qna-images/answer/078aaa47-0723-4ada-830f-2047a36bf73c.jpg

Answered: Suppose that measurements of…

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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According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for non‑Hispanic black females was 78.1 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research. The distribution of age at death, ?, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, x¯, in all possible samples of size ?n is approximately normal if ? is large enough, by the central limit theorem. Let x¯ be the mean life expectancy in a sample of 100 non‑Hispanic black females. Determine the interval centered at the population mean ? such that 95% of sample means x¯ will fall in the interval. Give your answers precise to one decimal What are the upper and lower limits?
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 245.4 and a standard deviation of 63.6. (All units are 1000 cells/μL.) Using the empirical rule, find each approx. percentage below. a. What is the approx. percentage of women with platelet counts within 3 standard deviations of the mean, or between 54.6 and 436.2? b. what is the approx. percentage of women with platelet counts between 118.2 and 372.6?
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.8 mm and a standard deviation of 4.9 mm. (Round your answers to four decimal places.) (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? mm
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.8 mm and a standard deviation of 4.3 mm. (Round your answers to four decimal places.) (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? 0.2578 USE SALT (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? 0.1131 (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? 0.2578 mm
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score ?μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.410.4 . Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 510510 . In answering the questions, use ?z‑scores rounded to two decimal places. (a) If you choose one student at random, what is the probability that the student's score is between 505505 and 515515 ? Use Table A, or software to calculate your answer. (Enter your answer rounded to four decimal places.) probability:?
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children ages 5 to 15 years. Based on this data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.2 mm and a standard deviation of 4.8 mm. (You may need to use a table or technology. Round your answers to four decimal places.) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? For healthy children, what is the value (in mm) for which only about 20% have a larger left atrial diameter? mm
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score ?μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.410.4 . Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 510510 . (c) What is the probability that the mean score of your sample is between 505505 and 515515 ? (Enter your answer rounded to four decimal places.) probability: ?
Total cholesterol in children aged 10 to 15 years of age is assumed to follow a normal distribution with a mean of 191 and a standard deviation of 22.4. what proportion of children 10 to 15 years of age would be classified as hyperlipidermic (assume that hyperlipidermia is defined as a total cholesterol level over 200?
A certain grade egg must weigh at least 2.0 Oz. If the weights of eggs are normally distributed with a mean of 1.5oz. And a standard deviation of 0.4oz, approximately how many eggs would you expect to weigh more than 2oz?
When samples of size 30 are collected from a normal population that has a mean of 200 and a standard deviation of 40, the standard deviation of the sampling distribution is?
Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed with mean 7.27and standard deviation of 0.11. Find the percentage of preterm infants who have the following arterial cord pH levels. a. pH levels between 7.00 and 7.50. b. pH levels over 7.35. a. The percentage of arterial cord pH levels that are between 7.00and 7.50 is __________%. (Round to two decimal places as needed.) b. The percentage of arterial cord pH levels that are over 7.35 is _______%. (Round to two decimal places as needed.)

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