Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 5, Problem 26P
The differential is a standard measurement made during a blood test. It consists of classifying white blood cells into the following five categories: (1) basophils, (2) eosinophils, (3) monocytes, (4) lymphocytes, and (5) neutrophils. The usual practice is to look at 100 randomly selected cells under a microscope and to count the number of cells within each of the five categories. Assume that a normal adult will have the following proportions of cells in each category: basophils, 0.5%; eosinophils, 1.5%; monocytes, 4%; lymphocytes, 34%; and neutrophils, 60%.
An excess of lymphocytes is consistent with various forms of viral infection, such as hepatitis. What is the
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The differential is a standard measurement made during a
blood test. It consists of classifying white blood cells into
the following five categories: (1) basophils, (2) eosinophils,
(3) monocytes, (4) lymphocytes, and (5) neutrophils. The
usual practice is to look at 100 randomly selected cells
under a microscope and to count the number of cells within
each of the five categories. Assume that a normal adult will
have the following proportions of cells in each category:
basophils, 0.5%; eosinophils, 1.5%; monocytes, 4%; lym-
phocytes, 34%; and neutrophils, 60%.
*5.25 An excess of eosinophils is sometimes consistent
with a violent allergic reaction. What is the exact probability
that a normal adult will have 5 or more eosinophils?
*5.26 An excess of lymphocytes is consistent with vari-
ous forms of viral infection, such as hepatitis. What is
the probability that a normal adult will have 40 or more
lymphocytes?
*5.27 What is the probability a normal adult will have 50 or
more lymphocytes?
Periodically, the county Water Department tests the drinking water of homeowners for contaminants
such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a
sample of 10 residents of a subdevelopement of the county are shown below.
lead (g/L) copper (mg/L)
2.9
0.2
5.1
4.2
5.5
1.2
0.3
1.3
4.9
1.7
0.133
0.774
0.214
0.671
0.444
0.234
0.357
0.761
0.176
0.888
(a) Construct a 99% confidence interval for the mean lead level in water specimans of the
subdevelopment.
OSASO
(b) Construct a 99% confidence interval for the mean copper level in water specimans of the
subdevelopment.
≤H≤
A large manufacturing company producing air conditioner compressor believes the number
of units of air conditioner sold is related to atmospheric temperature. An R&D officer
conducted a study and gathered the following data:
3.
Day
Sale
Temperature
(Fahrenheit)
63
(in thousands)
1.52
1
2
70
1.68
3
73
1.8
4
75
2.05
80
2.36
6.
82
2.25
7
85
2.68
8
88
2.9
9.
90
3.14
3.06
3.24
10
91
11
92
12
75
1.92
13
98
3.4
14
100
3.28
Construct an estimated regression line between temperature and number of units
sold.
а)
b)
Does the model in part (a) confirm that contribution of temperature to number of
units of air conditioner sold? Test using a 0.05.
Find the coefficient of correlation. What does the value imply about the relationship
of the two variables?
c)
If the temperature soared to 120 Fahrenheit, can you predict the number of units of
air conditioner sold? Explain
d)
Chapter 5 Solutions
Fundamentals of Biostatistics
Ch. 5.4 - What is the difference between a...Ch. 5.4 - Suppose a continuous random variable can only take...Ch. 5.4 - What is a standard normal distribution?Ch. 5.4 - (a) What is the area to the left of 0.2 under a...Ch. 5.4 - (a) What is z.30? What does it mean? (b) What is...Ch. 5.5 - What is the difference between a standard normal...Ch. 5.5 - What does the principle of standardization mean?Ch. 5.5 - Suppose the distribution of serum-cholesterol...Ch. 5.8 - Why do we use the normal approximation to the...Ch. 5.8 - Prob. C.2RE
Ch. 5.8 - The prevalence of glaucoma among the elderly in...Ch. 5.8 - The number of deaths from heart failure in a...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Suppose that total carbohydrate intake in 12- to...Ch. 5 - Suppose that total carbohydrate intake in 12- to...Ch. 5 - Suppose boys in this age range who live below the...Ch. 5 - Suppose boys in this age range who live below the...Ch. 5 - A study was conducted assessing the effect of...Ch. 5 - A study was conducted assessing the effect of...Ch. 5 - The duration of cigarette smoking has been linked...Ch. 5 - The duration of cigarette smoking has been linked...Ch. 5 - Serum cholesterol is an important risk factor for...Ch. 5 - Serum cholesterol is an important risk factor for...Ch. 5 - Serum cholesterol is an important risk factor for...Ch. 5 - People are classified as hypertensive if their...Ch. 5 - People are classified as hypertensive if their...Ch. 5 - People are classified as hypertensive if their...Ch. 5 - People are classified as hypertensive if their...Ch. 5 - Forced expiratory volume (FEV) is an index of...Ch. 5 - Forced expiratory volume (FEV) is an index of...Ch. 5 - Forced expiratory volume (FEV) is an index of...Ch. 5 - Forced expiratory volume (FEV) is an index of...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - Blood Chemistry In pharmacologic research a...Ch. 5 - Blood Chemistry In pharmacologic research a...Ch. 5 - Blood Chemistry In pharmacologic research a...Ch. 5 - In pharmacologic research a variety of clinical...Ch. 5 - Blood Chemistry In pharmacologic research a...Ch. 5 - A treatment trial is proposed to test the efficacy...Ch. 5 - A treatment trial is proposed to test the efficacy...Ch. 5 - A treatment trial is proposed to test the efficacy...Ch. 5 - Is the measure in Problem 5.38 a measure of...Ch. 5 - A treatment trial is proposed to test the efficacy...Ch. 5 - Refer to the pulmonary-function data in the Data...Ch. 5 - Prob. 43PCh. 5 - Refer to the pulmonary-function data in the Data...Ch. 5 - Prob. 45PCh. 5 - A clinical trial was conducted to test the...Ch. 5 - Well-known racial differences in blood pressure...Ch. 5 - Well-known racial differences in blood pressure...Ch. 5 - Prob. 49PCh. 5 - Suppose we observe 84 alcoholics with cirrhosis of...Ch. 5 - What is the probability of observing at least 29...Ch. 5 - Suppose we observe 84 alcoholics with cirrhosis of...Ch. 5 - FIGURE 5.22 Plasma-aldosterone concentrations in...Ch. 5 - FIGURE 5.22 Plasma-aldosterone concentrations in...Ch. 5 - Pregnant women with gestational diabetes mellitus...Ch. 5 - Officials in the State Health Department are...Ch. 5 - Prob. 57PCh. 5 - A study was conducted relating particulate air...Ch. 5 - Prob. 59PCh. 5 - Refer to Data Set VALID.DAT (at...Ch. 5 - Refer to Data Set VALID.DAT (at...Ch. 5 - Prob. 62PCh. 5 - A study concerned the risk of cancer among...Ch. 5 - Prob. 64PCh. 5 - A doctor diagnoses a patient as hypertensive and...Ch. 5 - A doctor diagnoses a patient as hypertensive and...Ch. 5 - Suppose the physician is not sure whether the...Ch. 5 - A study compared different treatments for...Ch. 5 - A study compared different treatments for...Ch. 5 - A study compared different treatments for...Ch. 5 - Obesity is an important determinant of...Ch. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Answer the question in Problem 5.75 for a binomial...Ch. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Retinitis pigmentosa (RP) is a genetic ocular...Ch. 5 - Prob. 87PCh. 5 - Prob. 88PCh. 5 - Prob. 89PCh. 5 - Physicians recommend that children with type-I...Ch. 5 - Physicians recommend that children with type-I...Ch. 5 - Prob. 92PCh. 5 - Prob. 93PCh. 5 - Prob. 94PCh. 5 - Prob. 95PCh. 5 - A previous study found that people consuming large...Ch. 5 - A previous study found that people consuming large...Ch. 5 - Prob. 98PCh. 5 - A study was recently published in Western...Ch. 5 - Prob. 100PCh. 5 - Prob. 101PCh. 5 - Prob. 102PCh. 5 - Prob. 103PCh. 5 - Prob. 104PCh. 5 - Prob. 105PCh. 5 - What is the 40th percentile of a normal...Ch. 5 - What is the sum of the 40th and 60th percentiles...Ch. 5 - What is z.90?Ch. 5 - A study was performed of different predictors of...Ch. 5 - A study was performed of different predictors of...Ch. 5 - Prob. 111PCh. 5 - Prob. 112PCh. 5 - Cancer The Shanghai Womens Health Study (SWHS) was...Ch. 5 - Prob. 114PCh. 5 - Prob. 115PCh. 5 - Prob. 116PCh. 5 - Prob. 117PCh. 5 - Prob. 118PCh. 5 - Prob. 119PCh. 5 - Prob. 120PCh. 5 - Prob. 121PCh. 5 - Prob. 122PCh. 5 - Prob. 123PCh. 5 - Prob. 124PCh. 5 - Hypertension Blood pressure readings are known to...Ch. 5 - Prob. 126PCh. 5 - Prob. 127PCh. 5 - Prob. 128PCh. 5 - Prob. 129PCh. 5 - Prob. 130P
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