Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
6th Edition
ISBN: 9780137549375
Author: Richard Larsen, Morris Marx
Publisher: PEARSON+
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Chapter 9.3, Problem 5Q

Raynaud’s syndrome is characterized by the sudden impairment of blood circulation in the fingers, a condition that results in discoloration and heat loss. The magnitude of the problem is evidenced in the following data, where twenty subjects (ten “normals” and ten with Raynaud’s syndrome) immersed their right forefingers in water kept at 19◦C. The heat output (in cal/cm2/minute) of the fore-finger was then measured with a calorimeter ( 112 ) .

Normal Subject Subjects with Raynaud’s Syndrome
Patient Heat Output ( cal/cm 2 /min ) Patient Heat Output ( cal/cm 2 /min )
W.K. 2.43 R.A. 0.81
M.N. 1.83 R.M. 0.70
S.A. 2.43 F.M. 0.74
Z.K. 2.70 K.A. 0.36
J.H. 1.88 H.M. 0.75
J.G. 1.96 S.M. 0.56
G.K. 1.53 R.M. 0.65
A.S. 2.08 G.E. 0.87
T.E. 1.85 B.W. 0.40
L.F. 2.44 N.E. 0.31
x ¯ = 2.11 y ¯ = 0.62
s X = 0.37 s Y = 0.20

Test that the heat-output variances for normal subjects and those with Raynaud’s syndrome are the same. Use a two-sided alternative and the 0.05 level of significance.

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Chapter 9 Solutions

Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)

Ch. 9.2 - Prob. 11QCh. 9.2 - Suppose that H0:X=Y is being tested against H1:XY,...Ch. 9.2 - An executive has two routes that she can take to...Ch. 9.2 - Prob. 14QCh. 9.2 - If X1,X2,...,Xn and Y1,Y2,...,Ym are independent...Ch. 9.2 - Let X1,X2,...,Xn and Y1,Y2,...,Ym be independent...Ch. 9.2 - A person exposed to an infectious agent, either by...Ch. 9.2 - For the approximate two-sample t test described in...Ch. 9.2 - Prob. 19QCh. 9.2 - Two popular forms of mortgage are the thirty-year...Ch. 9.3 - Case Study 9.2.3 was offered as an example of...Ch. 9.3 - Question 9.2.20 compared the rates of thirty-year...Ch. 9.3 - Among the standard personality inventories used by...Ch. 9.3 - In a study designed to investigate the effects of...Ch. 9.3 - Raynauds syndrome is characterized by the sudden...Ch. 9.3 - The bitter, eight-month baseball strike that ended...Ch. 9.3 - For the data in Question 9.2.8, the sample...Ch. 9.3 - Crosstown busing to compensate for de facto...Ch. 9.3 - Show that the generalized likelihood ratio for...Ch. 9.3 - Let X0,X2,...,Xn and Y1,Y2,...,Ym be independent...Ch. 9.4 - The phenomenon of handedness has been extensively...Ch. 9.4 - In a study designed to see whether a controlled...Ch. 9.4 - Water witching, the practice of using the...Ch. 9.4 - If flying saucers are a genuine phenomenon, it...Ch. 9.4 - In some criminal cases, the judge and the...Ch. 9.4 - Suppose H0:pX=pY is being tested against H1:pXpY...Ch. 9.4 - A total of 8605 students are enrolled full-time at...Ch. 9.4 - Prob. 8QCh. 9.4 - Prob. 9QCh. 9.4 - Compute 2ln(see Equation 9.4.1) for the nightmare...Ch. 9.5 - Historically, fluctuations in the amount of rare...Ch. 9.5 - Male fiddler crabs solicit attention from the...Ch. 9.5 - Construct two 99% confidence intervals for XY...Ch. 9.5 - Prob. 4QCh. 9.5 - Prob. 5QCh. 9.5 - Construct a 95% confidence interval for X2/Y2...Ch. 9.5 - One of the parameters used in evaluating...Ch. 9.5 - Prob. 8QCh. 9.5 - Flonase is a nasal spray for diminishing nasal...Ch. 9.5 - Construct an 80% confidence interval for the...Ch. 9.5 - Prob. 11QCh. 9.5 - For obese patients, there is an increased risk of...
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