PROBABILITY & STATS FOR ENGINEERING &SCI
9th Edition
ISBN: 9781285099804
Author: DEVORE
Publisher: CENGAGE L
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Textbook Question
Chapter 1.2, Problem 12E
The accompanying summary data on CeO2 particle sizes (nm) under certain experimental conditions was read from a graph in the article “Nanoceria-Energetics of Surfaces, Interfaces and Water Adsorption” (J. of the Amer. Ceramic Soc., 2011: 3992-3999):
3.0−<3.5 | 3.5−<4.0 | 4.0−<4.5 | 4.5−<5.0 | 5.0−<5.5 |
5 | 15 | 27 | 34 | 22 |
5.5−<6.0 | 6.0−<6.5 | 6.5−<7.0 | 7.0−<7.5 | 7.5−<8.0 |
14 | 7 | 2 | 4 | 1 |
- a. What proportion of the observations are less than 5?
- b. What proportion of the observations are at least 6?
- c. Construct a histogram with relative frequency on the vertical axis and comment on interesting features. In particular does the distribution of particle sizes appear to be reasonably symmetric or somewhat skewed? [Note: The investigators fit a lognormal distribution to the data; this is discussed in Chapter 4.]
- d. Construct a histogram with density on the vertical axis and compare to the histogram in (c).
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Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
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Second Quartile (Q2)
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10th Percentile
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Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Chapter 1 Solutions
PROBABILITY & STATS FOR ENGINEERING &SCI
Ch. 1.1 - Give one possible sample of size 4 from each of...Ch. 1.1 - For each of the following hypothetical...Ch. 1.1 - Consider the population consisting of all...Ch. 1.1 - a. Give three different examples of concrete...Ch. 1.1 - Many universities and colleges have instituted...Ch. 1.1 - The California State University (CSU) system...Ch. 1.1 - A certain city divides naturally into ten district...Ch. 1.1 - The amount of flow through a solenoid valve in an...Ch. 1.1 - In a famous experiment carried out in 1882,...Ch. 1.2 - Consider the strength data for beams given in...
Ch. 1.2 - The accompanying specific gravity values for...Ch. 1.2 - The accompanying summary data on CeO2 particle...Ch. 1.2 - Allowable mechanical properties for structural...Ch. 1.2 - The accompanying data set consists of observations...Ch. 1.2 - Do running limes of American movies differ somehow...Ch. 1.2 - The article cited in Example 1.2 also gave the...Ch. 1.2 - The accompanying data came from a study of...Ch. 1.2 - Every corporation has a governing board of...Ch. 1.2 - The number of contaminating particles on a silicon...Ch. 1.2 - The article Determination of Most Representative...Ch. 1.2 - The article cited in Exercise 20 also gave the...Ch. 1.2 - How does the speed of a runner vary over the...Ch. 1.2 - The article Statistical Modeling of the Time...Ch. 1.2 - The accompanying data set consists of observations...Ch. 1.2 - A transformation of data values by means of some...Ch. 1.2 - The accompanying summary data on CeO2 particle...Ch. 1.2 - The article Study on the Life Distribution of...Ch. 1.2 - The accompanying frequency distribution on...Ch. 1.2 - The following categories for type of physical...Ch. 1.2 - A Pareto diagram is a variation of a histogram for...Ch. 1.2 - The cumulative frequency and cumulative relative...Ch. 1.2 - Fire load (MJ/m2) is the heat energy that could be...Ch. 1.3 - The May 1, 2009, issue of The Montclarian reported...Ch. 1.3 - Exposure to microbial products, especially...Ch. 1.3 - Mercury is a persistent and dispersive...Ch. 1.3 - A sample of 26 offshore oil workers took part in a...Ch. 1.3 - The article Snow Cover and Temperature...Ch. 1.3 - Blood pressure values are often reported to the...Ch. 1.3 - The propagation of fatigue cracks in various...Ch. 1.3 - Compute the sample median. 25% trimmed mean. 10%...Ch. 1.3 - A sample of n = 10 automobiles was selected, and...Ch. 1.3 - a. If a constant c is added to each xi in a...Ch. 1.3 - An experiment to study the lifetime (in hours) for...Ch. 1.4 - Poly(3-hydroxybutyrate) (PHB), a semicrystalline...Ch. 1.4 - The value of Youngs modulus (GPa) was determined...Ch. 1.4 - The article Effects of Short-Term Warming on Low...Ch. 1.4 - Zinfandel is a popular red wine varietal produced...Ch. 1.4 - Exercise 34 presented the following data on...Ch. 1.4 - A study of the relationship between age and...Ch. 1.4 - In 1997 a woman sued a computer keyboard...Ch. 1.4 - The article A Thin-Film Oxygen Uptake Test for the...Ch. 1.4 - The first four deviations from the mean in a...Ch. 1.4 - A mutual fund is a professionally managed...Ch. 1.4 - Grip is applied to produce normal surface forces...Ch. 1.4 - Here is a stem-and-leaf display of the escape time...Ch. 1.4 - The following data on distilled alcohol content...Ch. 1.4 - A sample of 20 glass bottles of a particular type...Ch. 1.4 - A company utilizes two different machines to...Ch. 1.4 - Blood cocaine concentration (mg/L) was determined...Ch. 1.4 - Observations on burst strength (lb/in2) were...Ch. 1.4 - The accompanying comparative boxplot of gasoline...Ch. 1 - Consider the following information on ultimate...Ch. 1 - A sample of 77 individuals working at a particular...Ch. 1 - Fretting is a wear process that results from...Ch. 1 - The accompanying frequency distribution of...Ch. 1 - A deficiency of the (race element selenium in the...Ch. 1 - Aortic stenosis refers to a narrowing of the...Ch. 1 - a. For what value of c is the quantity (xi c)2...Ch. 1 - a. Let a and b be constants and let yi = axi + b...Ch. 1 - Elevated energy consumption during exercise...Ch. 1 - Here is a description from Minitab of the strength...Ch. 1 - Anxiety disorders and symptoms can often be...Ch. 1 - The article Can We Really Walk Straight? (Amer. J....Ch. 1 - The mode of a numerical data set is the value that...Ch. 1 - Specimens of three different types of rope wire...Ch. 1 - The three measures of center introduced in this...Ch. 1 - The authors of the article Predictive Model for...Ch. 1 - Consider a sample x1 , x2,..., xn and suppose that...Ch. 1 - Let xn and sn2 denote the sample mean and variance...Ch. 1 - Lengths of bus routes for any particular transit...Ch. 1 - A study carried out to investigate the...Ch. 1 - Prob. 82SECh. 1 - Prob. 83SECh. 1 - Consider a sample x1, ... , xn with n even. Let xL...
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