Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 7.4, Problem 12E
The article “The Selection of Yeast Strains for the Production of Premium Quality South African Brandy Base Products” (C. Steger and M. Lambrechts, Journal of Industrial Microbiology and Biotechnology, 2000:431–440) presents detailed information on the volatile compound composition of base wines made from each of 16 selected yeast strains. Below are the concentrations of total esters and total volatile acids (in mg/L) in each of the wines.
- a. Construct a
scatterplot of acid concentration versus ester concentration. Indicate the outlier. - b. Compute the coefficients of the least-squares line for predicting acid level (y) from ester level (x), along with their estimated standard deviations.
- c. Compute the P-value of the test of the null hypothesis H0 : β1 = 0.
- d. Delete the outlier, and recompute the coefficients of the least-squares line, along with their estimated standard deviations.
- e. Compute the P-value of the test of the null hypothesis H0 : β1 = 0 for the data with the outlier deleted.
- f. Does a linear model appear to be useful for predicting acid concentration from ester concentration? Explain.
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The article “The Selection of Yeast Strains for the Production of Premium Quality South African Brandy Base Products ” (C. Steger and M. Lambrechts, Journal of Industrial Microbiology and Biotechnology, 2000:431– 440) presents detailed information on the volatile compound composition of base wines made from each of 16 selected yeast strains. Following are the concentrations of total esters (in mg/L) in each of the wines.
105.14
139.38
144.39
170.41
172.79
173.01
188.72
197.81
215.34
229.55
256.02
284.34
295.24
303.28
312.95
658.38
the 10th , 60th and 90th percentiles are given by (in that order);
Select one:
a.
122.25 , 222.44, 308.11
b.
139.38, 215.34, 312.95
c.
122.26, 242.79, 485.67
d.
141.88, 242.78, 485.66
e.
122.26 , 242.79, 312.95
The article “Effects of Diets with Whole Plant-Origin Proteins Added with Different Ratiosof Taurine:Methionine on the Growth, Macrophage Activity and Antioxidant Capacity ofRainbow Trout (Oncorhynchus mykiss) Fingerlings” (O. Hernandez, L. Hernandez, et al.,Veterinary and Animal Science, 2017:4-9) reports that a sample of 210 juvenile rainbowtrout fed a diet fortified with equal amounts of the amino acids taurine and methionine for aperiod of 70 days had a mean weight gain of 313 percent with a standard deviation of 25, while 210 fish fed with a control diet had a mean weight gain of 233 percent with a standard deviation of 19. Units are percent. Find a 99% confidence interval for the difference in weight gain on the two diets.
In the production of synthetic motor lubricant from coal, a new catalyst has been discovered that seems to affect the viscosity index of the lubricant. In an experiment consisting of 23 production runs, 11 used the new catalyst and 12 did not. After each production run, the viscosity index of the lubricant was determined to be as follows.
With catalyst
4.0
4.4
2.6
1.2
3.9
4.2
2.8
3.2
4.1
2.1
1.6
Without catalyst
3.3
2.3
3.7
3.0
4.3
2.7
4.5
1.5
3.6
2.5
2.2
3.4
The two samples are independent. Use a 0.01 level of significance to test the null hypothesis that the viscosity index is unchanged by the catalyst against the alternate hypothesis that the viscosity index has changed.
1.) Find the sample test statistic. (Use 2 decimal places.)2.) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II. (Use 4 decimal places.)
Chapter 7 Solutions
Statistics for Engineers and Scientists
Ch. 7.1 - Compute the correlation coefficient for the...Ch. 7.1 - For each of the following data sets, explain why...Ch. 7.1 - For each of the following scatterplots, state...Ch. 7.1 - True or false, and explain briefly: a. If the...Ch. 7.1 - In a study of ground motion caused by earthquakes,...Ch. 7.1 - A chemical engineer is studying the effect of...Ch. 7.1 - Another chemical engineer is studying the same...Ch. 7.1 - Tire pressure (in kPa) was measured for the right...Ch. 7.1 - Prob. 10ECh. 7.1 - The article Drift in Posturography Systems...
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