8th Edition

ISBN: 9781305268920

Author: Bernard Rosner

Publisher: Cengage Learning

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Chapter 7, Problem 35P

Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 51 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.50 mg with standard deviation 4.75 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.44 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population.

State the hypotheses that we can use to consider this question.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 7, Problem 34P

Chapter 7, Problem 36P

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iid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²

2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and the standard normal CDF Fz(·).

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Chapter 7 Solutions

Fundamentals of Biostatistics

Ch. 7.3 - What is the difference between a type I and type...Ch. 7.3 - What is the difference between the critical-value...Ch. 7.3 - Several studies have shown that women with many...Ch. 7.7 - In the BMD study referred to in Case Study 2 (p....Ch. 7.7 - Prob. B.2RE Ch. 7.7 - Prob. B.3RE Ch. 7.9 - Prob. C.1RE Ch. 7.9 - Prob. C.2RE Ch. 7.9 - How much power did the test in Review Question...Ch. 7 - The mean serum-creatinine level measured in 12...

Ch. 7 - The mean serum-creatinine level measured in 12...Ch. 7 - The mean serum-creatinine level measured in 12...Ch. 7 - The mean serum-creatinine level measured in 1 2...Ch. 7 - The mean serum-creatinine level measured in 12...Ch. 7 - The mean serum-creatinine level measured in 12...Ch. 7 - The mean serumcreatinine level measured in 12...Ch. 7 - The mean serumcreatinine level measured in 12...Ch. 7 - Plasma-glucose levels are used to determine the...Ch. 7 - Plasma-glucose levels are used to determine the...Ch. 7 - Plasma-glucose levels are used to determine the...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the annual incidence of asthma in the...Ch. 7 - Prob. 18P Ch. 7 - Suppose the annual incidence of asthma in the...Ch. 7 - Prob. 20P Ch. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Suppose we identify 50 women 50 to 54 years of age...Ch. 7 - The drug erythromycin has been proposed to...Ch. 7 - A pilot study of a new antihypertensive agent is...Ch. 7 - A pilot study of a new antihypertensive agent is...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - The mortality experience of 8146 male employees of...Ch. 7 - The mortality experience of 8146 male employees of...Ch. 7 - The mortality experience of 8146 male employees of...Ch. 7 - The mortality experience of 8146 male employees of...Ch. 7 - Researchers have reported that the incidence rate...Ch. 7 - Researchers have reported that the incidence rate...Ch. 7 - Researchers have reported that the incidence rate...Ch. 7 - Researchers have reported that the incidence rate...Ch. 7 - Left ventricular mass (LVM) is an important risk...Ch. 7 - Left ventricular mass (LVM) is an important risk...Ch. 7 - Left ventricular mass (LVM) is an important risk...Ch. 7 - Left ventricular mass (LVM) is an important risk...Ch. 7 - Prob. 60P Ch. 7 - Previous studies have shown that supplementing the...Ch. 7 - Prob. 62P Ch. 7 - Prob. 63P Ch. 7 - Previous studies have shown that supplementing the...Ch. 7 - Prob. 65P Ch. 7 - Prob. 66P Ch. 7 - Refer to Data Set NIFED.DAT at...Ch. 7 - The combination of photochemotherapy with oral...Ch. 7 - The combination of photochemotherapy with oral...Ch. 7 - The combination of photochemotherapy with oral...Ch. 7 - Prob. 72P Ch. 7 - Breast cancer is strongly influenced by a womans...Ch. 7 - Prob. 74P Ch. 7 - An investigator wants to test a new eye drop that...Ch. 7 - Prob. 76P Ch. 7 - Table 7.10 gives the itching scores reported by...Ch. 7 - Table 7.10 gives the itching scores reported by...Ch. 7 - Table 7.10 gives the itching scores reported by...Ch. 7 - Table 7.10 gives the itching scores reported by...Ch. 7 - Prob. 81P Ch. 7 - Prob. 82P Ch. 7 - Concurrent sexual partnerships are widely believed...Ch. 7 - Prob. 84P Ch. 7 - Prob. 85P Ch. 7 - Prob. 86P Ch. 7 - Consider the birthweight data in Example 7.2. What...Ch. 7 - Consider the birthweight data in Example 7.2. Now...Ch. 7 - Prob. 89P Ch. 7 - A screening program for neuroblastoma (a type of...Ch. 7 - A screening program for neuroblastoma (a type of...Ch. 7 - Prob. 92P Ch. 7 - Prob. 93P Ch. 7 - Prob. 94P Ch. 7 - Prob. 95P Ch. 7 - Prob. 96P Ch. 7 - An experiment was performed to assess the efficacy...Ch. 7 - Medical errors are common in hospitals throughout...Ch. 7 - Prob. 99P Ch. 7 - Prob. 100P Ch. 7 - Prob. 101P Ch. 7 - Prob. 102P Ch. 7 - Prob. 103P Ch. 7 - Prob. 104P Ch. 7 - Osteoporosis is an important cause of morbidity in...Ch. 7 - Osteoporosis is an important cause of morbidity in...Ch. 7 - Osteoporosis is an important cause of morbidity in...Ch. 7 - Prob. 108P Ch. 7 - Prob. 109P Ch. 7 - Prob. 110P Ch. 7 - Prob. 111P Ch. 7 - Prob. 112P Ch. 7 - Prob. 113P Ch. 7 - A study was conducted in Sweden to relate the age...Ch. 7 - A study was conducted in Sweden to relate the age...Ch. 7 - A study was conducted in Sweden to relate the age...Ch. 7 - Prob. 117P Ch. 7 - Prob. 118P Ch. 7 - Prob. 119P Ch. 7 - Prob. 120P Ch. 7 - Prob. 121P

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Solution Summary: The author states the hypothesis that there is no significant difference between mean daily iron intake for 9-11 year-old boys below the poverty level and general population.

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