EBK PROBABILITY AND STATISTICS FOR ENGI
9th Edition
ISBN: 8220102958432
Author: DEVORE
Publisher: CENGAGE L
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Chapter 15.1, Problem 5E
Both a gravimetric and a spectrophotometric method are under consideration for determining phosphate content of a particular material. Twelve samples of the material are obtained, each is split in half, and a determination is made on each half using one of the two methods, resulting in the following data:
| Sample | 1 | 2 | 3 | 4 |
| Gravimetric | 54.7 | 58.5 | 66.8 | 46.1 |
| Spectrophotometric | 55.0 | 55.7 | 62.9 | 45.5 |
| Sample | 5 | 6 | 7 | 8 |
| Gravimetric | 52.3 | 74.3 | 92.5 | 40.2 |
| Spectrophotometric | 51.1 | 75.4 | 89.6 | 38.4 |
| Sample | 9 | 10 | 11 | 12 |
| Gravimetric | 87.3 | 74.8 | 63.2 | 68.5 |
| Spectrophotometric | 86.8 | 72.5 | 62.3 | 66.0 |
Use the Wilcoxon test to decide whether one technique gives on average a different value than the other technique for this type of material.
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Based on these data, is there evidence that the median conductivity of this type of glass is greater than 1?
Use a 10% level of significance level.
a. How many samples of data are there in this study?
b. What test you would use for this problem? Select an answer
c. The null hypothesis of this test states that Select an answer
d. What type of test is this?
O One-side
Two-side
The National Institute of Standard and Technology provided exact data on conductivity properties of
materials. Following are conductivity measurements for 11 randomly selected pieces of a particular type of
glass.
Click this button to reveal the data
Conductivtity
1.11
1.07
1.11
1.07
1.12
1.08
0.98
0.98
1.02
0.95
0.95
Download CSV file
Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to save
it as a Excel Workbook.
Based on these data, is there evidence that the median conductivity of this type of glass is greater than 1? Use
a 5% level of significance level.
a. How many samples of data are there in this study? 1
d. What type of test is this?
One-side
OF
b. What test you would use for this problem? Sign Test for One-Sample
+
Ꮕ
c. The null hypothesis of this test states that The Population Median conductivity is 1
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Chapter 15 Solutions
EBK PROBABILITY AND STATISTICS FOR ENGI
Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Here again is the data on expense ratio (%) for a...Ch. 15.1 - The accompanying data is a subset of the data...Ch. 15.1 - A random sample of 15 automobile mechanics...Ch. 15.1 - Both a gravimetric and a spectrophotometric method...Ch. 15.1 - Reconsider the situation described in Exercise 39...Ch. 15.1 - Use the large-sample version of the Wilcoxon test...Ch. 15.1 - Reconsider the port alcohol content data from...Ch. 15.1 - Prob. 9ECh. 15.2 - Prob. 10E
Ch. 15.2 - Prob. 11ECh. 15.2 - The article A Study of Wood Stove Particulate...Ch. 15.2 - The urinary fluoride concentration (parts per...Ch. 15.2 - Prob. 14ECh. 15.2 - The article Measuring the Exposure of Infants to...Ch. 15.2 - Prob. 16ECh. 15.3 - Prob. 17ECh. 15.3 - Compute the 99% signed-rank interval for true...Ch. 15.3 - Prob. 19ECh. 15.3 - Prob. 20ECh. 15.3 - Prob. 21ECh. 15.3 - Compute a 99% CI for 1 2 using the data in...Ch. 15.4 - The accompanying data refers to concentration of...Ch. 15.4 - Prob. 24ECh. 15.4 - Prob. 25ECh. 15.4 - Prob. 26ECh. 15.4 - In an experiment to study the way in which...Ch. 15 - The article Effects of a Rice-Rich Versus...Ch. 15 - Prob. 29SECh. 15 - The given data on phosphorus concentration in...Ch. 15 - Prob. 31SECh. 15 - Prob. 32SECh. 15 - The sign test is a very simple procedure for...Ch. 15 - Prob. 34SECh. 15 - Prob. 35SECh. 15 - Prob. 36SE
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