An Introduction to Mathematical Statistics and Its Applications (6th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Chapter 14.5, Problem 3Q
To determine

The differences from method to method are statistically significant, let α=0.05.

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Two methods of determining fat content in milk are being tested. Samples are taken from 6 different milk cartons and both methods are used on a sample from each container. The readings are Carton 1 2 3 4 5 6 Method A: 2.2 1.7 2.0 1.9 2.1 2.3 Method B: 1.8 2.1 1.9 1.4 2.1 1.7 (A-B) 4 -4.1 50 .6 From Minitab Output: N Method A Method B 6 6 Mean 2.033 1.833 StDev .216 .266 Difference 6 .200 .374 To test the null hypothesis Ho that there is no difference in the two methods of determining fat content, the lowest level of significance to reject the null hypothesis is: OA: 0.20 B: 0.15 OC: 0.25 OD: 0.10 E: 0.05
Exposure to microbial products, especially endotoxin, may have an impact on vulnerability to allergic diseases. The following are data on concentration (EU/mg) in settled dust for one sample of urban homes and another of farm homes. U: 6.0 5.0 11.0 33.0 4.0 5.0 80.0 18.0 35.0 17.0 23.0 F: 6.0 13.0 13.0 8.0 9.0 6.0 2.0 17.0 6.0 8.2 21.0 9.7 3.0 2.0 0.5 n USE SALT (a) Determine the sample mean for each sample. (Round your answers to four decimal places.) urban homes EU/mg farm homes EU/mg How do they compare? O The average endotoxin concentration in urban homes is more than double the average concentration in farm homes. O The average endotoxin concentration in farm homes is more than double the average concentration in urban homes. O The average endotoxin concentration is about the same in both urban and farm homes. (b) Determine the sample median for each sample. urban homes EU/mg farm homes EU/mg How do they compare? O The median endotoxin concentration is about the same in both urban…
In a study conducted in Italy, 10 patients with hypertriglyceridemia were placed on a low-fat, high-carbohydrate diet. Before the start of the diet, cholesterol and triglyceride measurements were recorded for each subject. Patient Cholesterol Level (mmol/l) Triglyceride level (mmol/l) 1 5.12 2.30 2 6.18 2.54 3 6.77 2.95 4 6.65 3.77 5 6.36 4.18 6 5.90 5.31 7 5.48 5.53 8 6.02 8.83 9 10.34 9.48 10 8.51 14.20A. Use STATA to Calculate the Spearman rank correlation coefficient, rs, for these data. B. Using rs, test the null hypothesis that the population correlation, ρ, equals 0.

Chapter 14 Solutions

An Introduction to Mathematical Statistics and Its Applications (6th Edition)

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