STATISTICS FOR ENGR.+SCI.(LL)-W/ACCESS
4th Edition
ISBN: 9781260133295
Author: Navidi
Publisher: MCG
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Chapter 1, Problem 8SE
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.
284.34 173.01 229.55 312.95 215.34 188.72
144.39 172.79 139.38 197.81 303.28 256.02
658.38 105.14 295.24 170.41
- a. Compute the mean concentration.
- b. Compute the median concentration.
- c. Compute the first
quartile of the concentrations. - d. Compute the third quartile of the concentrations.
- e. Construct a boxplot for the concentrations. What features does it reveal?
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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
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.)
In an experiment to determine the effect of ambient temperature on the emissons of oxides of nitrogen (
NOx
) of diesel trucks,
10
trucks were run at temperatures of
40°F
and
80°F
. The emissions, in parts per billion, are presented in the following table.
Truck
40°F
80°F
1
926.5
896.7
2
851.1
857.0
3
975.5
952.1
4
1009.3
884.8
5
871.8
840.7
6
949.2
885.1
7
1006.3
885.5
8
836.5
777.8
9
837.8
850.2
10
958.9
882.1
Send data to Excel
Let
μ1
represent the mean emission at
40°F
and
=μd−μ1μ2
.Can you conclude that the mean emission differs between the two temperatures? Use the
=α0.05
level of significance and the TI-84 Plus calculator to answer the following.
p value ?
do we reject?
is there enough evidence :?
Chapter 1 Solutions
STATISTICS FOR ENGR.+SCI.(LL)-W/ACCESS
Ch. 1.1 - Each of the following processes involves sampling...Ch. 1.1 - If you wanted to estimate the mean height of all...Ch. 1.1 - True or false: a. A simple random sample is...Ch. 1.1 - A sample of 100 college students is selected from...Ch. 1.1 - A certain process for manufacturing integrated...Ch. 1.1 - Refer to Exercise 5. True or false: a. If the...Ch. 1.1 - To determine whether a sample should be treated as...Ch. 1.1 - A medical researcher wants to determine whether...Ch. 1.1 - A medical researcher wants to determine whether...Ch. 1.2 - True or false: For any list of numbers, half of...
Ch. 1.2 - Is the sample mean always the most frequently...Ch. 1.2 - Is the sample mean always equal to one of the...Ch. 1.2 - Is the sample median always equal to one of the...Ch. 1.2 - Find a sample size for which the median will...Ch. 1.2 - For a list of positive numbers, is it possible for...Ch. 1.2 - Is it possible for the standard deviation of a...Ch. 1.2 - In a certain company, every worker received a...Ch. 1.2 - In another company, every worker received a 5%...Ch. 1.2 - A sample of 100 adult women was taken, and each...Ch. 1.2 - In a sample of 20 men, the mean height was 178 cm....Ch. 1.2 - Each of 16 students measured the circumference of...Ch. 1.2 - Refer to Exercise 12. a. If the measurements for...Ch. 1.2 - There are 10 employees in a particular division of...Ch. 1.2 - Quartiles divide a sample into four nearly equal...Ch. 1.2 - In each of the following data sets, tell whether...Ch. 1.3 - The weather in Los Angeles is dry most of the...Ch. 1.3 - Forty-five specimens of a certain type of powder...Ch. 1.3 - Refer to Table 1.2 (in Section 1.2). Construct a...Ch. 1.3 - Following are measurements of soil concentrations...Ch. 1.3 - A certain reaction was run several times using...Ch. 1.3 - Sketch a histogram for which a. The mean is...Ch. 1.3 - The figure below is a histogram showing the...Ch. 1.3 - The histogram below presents the compressive...Ch. 1.3 - Refer to Table 1.4 (in Section 1.3). a. Using the...Ch. 1.3 - Refer to Table 1.5 (in Section 1.3). a. Using the...Ch. 1.3 - The following table presents the number of...Ch. 1.3 - Which of the following statistics cannot be...Ch. 1.3 - A sample of 100 resistors has an average...Ch. 1.3 - Following are boxplots comparing the amount of...Ch. 1.3 - Following are summary statistics for two data...Ch. 1.3 - Match each histogram to the box plot that...Ch. 1.3 - Prob. 17ECh. 1.3 - Match each scatterplot to the statement that best...Ch. 1.3 - Prob. 19ECh. 1 - A vendor converts the weights on the packages she...Ch. 1 - Refer to Exercise 1. The vendor begins using...Ch. 1 - The specification for the pull strength of a wire...Ch. 1 - A coin is tossed twice and comes up heads both...Ch. 1 - The smallest number on a list is changed from 12.9...Ch. 1 - There are 15 numbers on a list, and the smallest...Ch. 1 - There are 15 numbers on a list, and the mean is...Ch. 1 - The article The Selection of Yeast Strains for the...Ch. 1 - Concerning the data represented in the following...Ch. 1 - True or false: In any boxplot, a. The length of...Ch. 1 - For each of the following histograms, determine...Ch. 1 - In the article Occurrence and Distribution of...Ch. 1 - The article Vehicle-Arrival Characteristics at...Ch. 1 - The cumulative frequency and the cumulative...Ch. 1 - The article Hydrogeochemical Characteristics of...Ch. 1 - Water scarcity has traditionally been a major...Ch. 1 - Prob. 18SECh. 1 - The article The Ball-on-Three-Ball Test for...
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