UNDERSTANDING BASIC STATISTICS (LOOSE)
8th Edition
ISBN: 9781337558198
Author: BRASE
Publisher: CENGAGE L
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Textbook Question
Chapter 3, Problem 18CR
Agriculture: Bell Peppers The pathogen Phytophthora capsici causes hell pepper plants to will and die. A research project was designed to study the effect of soil water content and the spread of the disease in fields of hell peppers (Source: Journal of Agricultural. Biological, and Environmental Statistics. Vol. 2, No. 2). It is thought that loo much water helps spread the disease. The fields were divided into rows and quadrants. The soil water content (percent of water by volume of soil) was determined for each plot. An important first step in such a research project is to give a statistical description of the data.
Soil Water Content for Bell Pepper Study
| 15 | 14 | 14 | 14 | 13 | 12 | 11 | 11 | 11 | 11 | 10 | 11 | 13 | 16 | 10 |
| 9 | 15 | 12 | 9 | 10 | 7 | 14 | 13 | 14 | 8 | 9 | 8 | 11 | 13 | 13 |
| 15 | 12 | 9 | 10 | 9 | 9 | 16 | 16 | 12 | 10 | 11 | 11 | 12 | 15 | 6 |
| 10 | 10 | 10 | 11 | 9 |
(a) Make a box-and-whisker plot of the data. Find the
(b) Grouped Data Make a frequency table using four classes. Then estimate the mean and sample standard deviation using the frequency table. Compute a 75% Chebyshev interval centered about the mean.
(c) If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation.
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Compute the relative risk of falling for the two groups (did not stop walking vs. did stop). State/interpret your result verbally.
Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
Chapter 3 Solutions
UNDERSTANDING BASIC STATISTICS (LOOSE)
Ch. 3.1 - Statistical Literacy Consider the mode, median,...Ch. 3.1 - Statistical Literacy What symbol is used for the...Ch. 3.1 - Statistical Literacy Look at the formula for the...Ch. 3.1 - Statistical Literacy In order to find the median...Ch. 3.1 - Basic Computation: Mean, Median, Mode Find the...Ch. 3.1 - Basic Computation: Mean, Median, Mode Find the...Ch. 3.1 - Basic Computations Mean, Median, Mode Find the...Ch. 3.1 - Critical Thinking Consider a data set with at...Ch. 3.1 - Critical Thinking Consider a data set with at...Ch. 3.1 - Critical Thinking If a data set has an even number...
Ch. 3.1 - Critical Thinking When a distribution is...Ch. 3.1 - Critical Thinking Consider the following types of...Ch. 3.1 - Critical Thinking Consider the numbers 23455 (a)...Ch. 3.1 - Critical Thinking Consider two data sets. Set...Ch. 3.1 - Interpretation A Job-performance evaluation form...Ch. 3.1 - Critical Thinking: Data Transformation Using...Ch. 3.1 - Critical Thinking: Data Transformation Using...Ch. 3.1 - Critical Thinking Consider a data set of 15...Ch. 3.1 - Environmental Studies: Death Valley How hot does...Ch. 3.1 - Ecology: Wolf Packs How large is a wolf pack? The...Ch. 3.1 - Medical: Injuries The Grand Canyon and the...Ch. 3.1 - Football: Age of Professional Players How old are...Ch. 3.1 - Leisure: Maui Vacation How expensive is Maui? It...Ch. 3.1 - Basic Computation: Weighted Average Find the...Ch. 3.1 - Basic Computation: Weighted Average Find the...Ch. 3.1 - Grades: Weighted Average In your biology class,...Ch. 3.1 - Merit Pay Scale: Weighted Average At General...Ch. 3.1 - EPA: Wetlands Where does all the water go?...Ch. 3.1 - Expand Your knowledge: Harmonic Mean When data...Ch. 3.1 - Expand Your Knowledge: Geometric Mean When data...Ch. 3.2 - Statistical Literacy Which averagemean, median, or...Ch. 3.2 - Statistical Literacy What is the relationship...Ch. 3.2 - Statistical Literacy When computing the standard...Ch. 3.2 - Statistical Literary What symbol is used for the...Ch. 3.2 - Basic Computation: Range, Standard Deviation...Ch. 3.2 - Basic Computation: Range, Standard Deviation...Ch. 3.2 - Critical Thinking Fora given data set in which not...Ch. 3.2 - Critical Thinking Consider two data sets with...Ch. 3.2 - Critical Thinking Each of the following data sets...Ch. 3.2 - Critical Thinking: Data Transformation Using...Ch. 3.2 - Critical Thinking: Data Transformation Using...Ch. 3.2 - Critical Thinking: Outliers One indicator of an...Ch. 3.2 - Basic Computation: Variance, Standard Deviation...Ch. 3.2 - Basic Computation: Coefficient of Variation,...Ch. 3.2 - Basic Computation: Coefficient of Variation....Ch. 3.2 - Investing: Stocks and Bonds Do bonds reduce the...Ch. 3.2 - Space Shuttle: Epoxy Kevlar epoxy it a material...Ch. 3.2 - Archaeology: Ireland The Hill of Tara in Ireland...Ch. 3.2 - Wildlife: Mallard Ducks and Canada Geese For...Ch. 3.2 - Investing: Socially Responsible Mutual Funds Pax...Ch. 3.2 - Medical: Physician Visits In some reports, the...Ch. 3.2 - Grouped Data: Anthropology What was the age...Ch. 3.2 - Grouped Data: Shoplifting What is the age...Ch. 3.2 - Grouped Data: Hours of Sleep per Day Alexander...Ch. 3.2 - Grouped Data: Business Administration What are the...Ch. 3.2 - Expand Your knowledge: Moving Averages You do not...Ch. 3.2 - Prob. 27PCh. 3.2 - Expand Your knowledge: Stratified Sampling and...Ch. 3.2 - Expand Your knowledge: Stratified Sampling and...Ch. 3.2 - Prob. 30PCh. 3.3 - Statistical Literacy Angela took a general...Ch. 3.3 - Statistical Literacy One standard for admission to...Ch. 3.3 - Critical Thinking The town of Butler, Nebraska,...Ch. 3.3 - Critical Thinking Clayton and Timothy took...Ch. 3.3 - Basic Computation: Five-Number Summary,...Ch. 3.3 - Basic Computation: Five-Number Summary...Ch. 3.3 - Health Care: Nurses At Center Hospital there is...Ch. 3.3 - Health Care: Staff Another survey was done at...Ch. 3.3 - Sociology: College Graduates What percentage of...Ch. 3.3 - Sociology: High School Dropouts What percentage of...Ch. 3.3 - Auto Insurance: Interpret GraphsConsumer Reports...Ch. 3.3 - Expand Your knowledge: Outliers Some data include...Ch. 3 - Terminology Consider the following measures of...Ch. 3 - Terminology Consider the statement: For a 5%...Ch. 3 - Terminology When we compute a sample standard...Ch. 3 - Terminology Consider the following terms: outlier,...Ch. 3 - Terminology Consider the following symbols: s,,x,....Ch. 3 - Terminology How is the standard deviation related...Ch. 3 - Terminology In a box-and-whisker plot. which...Ch. 3 - Terminology Consider the following statement: If...Ch. 3 - Statistical Literacy (a) What measures of...Ch. 3 - Critical Thinking Look at the two histograms on...Ch. 3 - Critical Thinking Consider the following Minitab...Ch. 3 - Consumer: Radon Gas "Radon: The Problem No One...Ch. 3 - Political Science: Georgia Democrats How...Ch. 3 - Grade: Weighted Average Professor Cramer...Ch. 3 - General: Average Weight Wright An elevator it...Ch. 3 - Agriculture: Harvest Weight of Maize The following...Ch. 3 - Focus Problem: Water Solve the focus problem at...Ch. 3 - Agriculture: Bell Peppers The pathogen...Ch. 3 - Performance Rating: Weighted Average A performance...Ch. 3 - The Story of Old Faithful is a short book written...Ch. 3 - Most academic advisors tell students to major in a...Ch. 3 - An average is an attempt to summarize a collection...Ch. 3 - Why do we need to study the variation of a...Ch. 3 - Why is the coefficient of variation important?...Ch. 3 - What is Chebyshevs theorem? 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In Problems 5-13 you...Ch. 3 - Interpretation Wow! In Problems 5-13 you...Ch. 3 - Interpretation Wow! In Problems 5-13 you...
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