Probability and Statistics for Engineering and the Sciences
Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 14.1, Problem 10E

a.

To determine

Show that the chi-square test statistic is χ2=i=1kNi2npi0n.

Explain its efficiency.

b.

To determine

Simplify the formula obtained in part (a).

Calculate the chi-square test statistic using the simplified formula for the Exercise 3.

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Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.61, and for n = 9 nonsufferers, the average output was 2.09. Let ?1 and ?2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with ?1 = 0.3 and ?2 = 0.5. (a) Consider testing H0: ?1 − ?2 = −1.0 versus Ha: ?1 − ?2 < −1.0 at level 0.01. Describe in words what Ha says, and then carry out the test. Ha says that the average heat output for sufferers is the same as that of non-sufferers.Ha says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers.    Ha says that the average heat output for sufferers is more…
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Chapter 14 Solutions

Probability and Statistics for Engineering and the Sciences

Ch. 14.1 - Prob. 11ECh. 14.2 - Consider a large population of families in which...Ch. 14.2 - A study of sterility in the fruit fly (Hybrid...Ch. 14.2 - Prob. 14ECh. 14.2 - A certain type of flashlight is sold with the four...Ch. 14.2 - Let X = the number of adult police contacts for a...Ch. 14.2 - In a genetics experiment, investigators looked at...Ch. 14.2 - The article A Probabilistic Analysis of Dissolved...Ch. 14.2 - Each headlight on an automobile undergoing an...Ch. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - The article A Method for the Estimation of Alcohol...Ch. 14.2 - The article Nonbloated Burned Clay Aggregate...Ch. 14.3 - The accompanying two-way table was constructed...Ch. 14.3 - In an investigation of alcohol use among college...Ch. 14.3 - Contamination of various food products is an...Ch. 14.3 - The article Human Lateralization from Head to...Ch. 14.3 - Prob. 28ECh. 14.3 - The accompanying data on degree of spirituality...Ch. 14.3 - Three different design configurations are being...Ch. 14.3 - A random sample of smokers was obtained, and each...Ch. 14.3 - Eclosion refers to the emergence of an adult...Ch. 14.3 - Prob. 33ECh. 14.3 - Prob. 34ECh. 14.3 - Prob. 35ECh. 14.3 - Consider the accompanying 2 3 table displaying...Ch. 14 - The article Birth Order and Political Success...Ch. 14 - Does the phase of the moon have any bearing on...Ch. 14 - Prob. 39SECh. 14 - The authors of the article Predicting Professional...Ch. 14 - The accompanying two-way frequency table appears...Ch. 14 - Prob. 42SECh. 14 - Prob. 43SECh. 14 - Prob. 44SECh. 14 - Prob. 45SECh. 14 - The NCAA basketball tournament begins with 64...Ch. 14 - Have you ever wondered whether soccer players...Ch. 14 - Do the successive digits in the decimal expansion...Ch. 14 - Prob. 49SE
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