An Introduction to Statistical Methods and Data Analysis
7th Edition
ISBN: 9781305269477
Author: R. Lyman Ott, Micheal T. Longnecker
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 3.11, Problem 48SE
a.
To determine
Construct a relative frequency histogram for the 41 values of T.
b.
To determine
Interpret the shape of the histogram.
c.
To determine
Verify whether the statement ‘When the relative frequency histogram is highly skewed to the right, the
d.
To determine
Construct a relative frequency histogram for the transformed 41 values of T.
Verify whether the empirical rule yields accurate results using transformed data.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The depth of wetting of a soil is the depth to which water content will increase owing to
extemal factors. The article "Discussion of Method for Evaluation of Depth of Wetting in
Residential Areas" (J. Nelson, K. Chao, and D. Overton, Journal of Geotechnical and
Geoenvironmental Engineering, 2011:293-296) discusses the relationship between depth of
wetting beneath a structure and the age of the structure. The article presents measurements
of depth of wetting, in meters, and the ages, in years, of 21 houses, as shown in the
following table.
Age
Depth
7.6
4
4.6
6.1
9.1
3
4.3
7.3
5.2
10.4
15.5
5.8
10.7
4
5.5
6.1
10.7
10.4
4.6
7.0
6.1
14
16.8
10
9.1
8.8
Compute the least-squares line for predicting depth of wetting (y) from age (x).
b. Identify a point with an unusually large x-value. Compute the least-squares line that
results from deletion of this point.
Identify another point which can be classified as an outlier. Compute the least-squares
line that results from deletion of the outlier,…
4. A study to assess the capability of subsurface flow wetland systems to remove
biochemical oxygen demand (BOD) and various other chemical constituents
resulted in the accompanying data on z = BOD mass loading (kg/ha/d) and y
= BOD mass removal (kg/ha/d) ("Subsurface Flow Wetlands-A Performance
Evaluation." Water Envir. Res., 1995: 244-247).
x
Y
11
8
13 16 27
10 11 16
142
35 38 44 103
30
90
75
31 30
26 21
n = 10; Σ | n = 450; Σα" = 37653; Σy = 318; Σ y = 17244; Σ =y = 25344
Answer the following questions:
(a) Plot an appropriate graph for the data.
(b) Obtain the best lincar prediction equation.
(c) For every additional unit change in BOD mass loading, by how much does
the BOD mass removal change, on average?
(d) Give the value of the statistic that measures the linear association between
the BOD mass loading and BOD mass removal. Comment.
(e) What percent of variation in the BOD mass removal is explained by the
variation by the BOD mass loading?
(f) Predict the BOD mass removal,…
Acrylic resins used in the fabrication of dentures should not absorb much water, since water
sorption reduces strength. The article "Reinforcement of Acıylic Resin for Provisional
Fixed Restorations. Part III: Effects of Addition of Titania and Zirconia Mixtures on Some
Mechanical and Physical Properties" (W. Panyayong, Y. Oshida, et al., Bio-Medical
Materials and Engineering, 2002:353-366) describes a study of the effect on water sorption
of adding titanium dioxide (TiO,) and zirconium dioxide (ZiO,) to a standard acıylic resin.
Twelve specimens from each of several formulations, containing various amounts of TiO,
and Zro, were immersed in water for one week, and the water sorption (in ug/mm?) was
measured in each. The results are presented in the following table.
Volume %
Formulation TIO, Zro, Mean
A (control)
Standard Deviation
24.03
2.50
14.88
1.55
2
12.81
1.08
0.5
11.21
2.98
2
16.05
1.66
12.87
0.96
15.23
0.97
Н
3
15.37
0.64
Use the Bonferoni method to determine which of the…
Chapter 3 Solutions
An Introduction to Statistical Methods and Data Analysis
Ch. 3.11 - The U.S. government spent more than $3.6 trillion...Ch. 3.11 - The type of vehicle the U.S public purchases...Ch. 3.11 - It has been reported that there has been a change...Ch. 3.11 - The regulations of the board of health in a...Ch. 3.11 - The National Highway Traffic Safety Administration...Ch. 3.11 - Prob. 6ECh. 3.11 - The survival times (in months) for two treatments...Ch. 3.11 - Combine the data from the separate therapies in...Ch. 3.11 - Prob. 9ECh. 3.11 - The following table presents homeownership rates,...
Ch. 3.11 - Prob. 11ECh. 3.11 - Prob. 12ECh. 3.11 - A supplier of high-quality audio equipment for...Ch. 3.11 - Prob. 14ECh. 3.11 - Compute the mean, median, and mode for the...Ch. 3.11 - Prob. 16ECh. 3.11 - Prob. 17ECh. 3.11 - Prob. 18ECh. 3.11 - A study of the reliability of buses [Large Sample...Ch. 3.11 - Prob. 20ECh. 3.11 - Prob. 21ECh. 3.11 - A study of the survival times, in days, of skin...Ch. 3.11 - Prob. 23ECh. 3.11 - Prob. 24ECh. 3.11 -
Refer to Exercise 3.24. Average the three group...Ch. 3.11 -
Pushing economy and wheelchair-propulsion...Ch. 3.11 - Prob. 27ECh. 3.11 - Prob. 28ECh. 3.11 -
The treatment times (in minutes) for patients at...Ch. 3.11 - To assist in estimating the amount of lumber in a...Ch. 3.11 -
Consumer Reports in its June 1998 issue reports...Ch. 3.11 - Many marine phanerogam species are highly...Ch. 3.11 - Prob. 33ECh. 3.11 - The following data are the resting pulse rates for...Ch. 3.11 - Consumer Reports in its May 1998 issue provides...Ch. 3.11 - Prob. 36ECh. 3.11 - Prob. 37ECh. 3.11 - Prob. 38ECh. 3.11 - In the paper “Demographic Implications of...Ch. 3.11 - Prob. 40ECh. 3.11 - Prob. 41ECh. 3.11 - Prob. 42ECh. 3.11 - Prob. 43SECh. 3.11 - Prob. 44SECh. 3.11 - Prob. 45SECh. 3.11 - Prob. 46SECh. 3.11 - Prob. 47SECh. 3.11 - Prob. 48SECh. 3.11 - A random sample of 90 standard metropolitan...Ch. 3.11 - Prob. 50SECh. 3.11 - Prob. 51SECh. 3.11 - Prob. 52SECh. 3.11 - Prob. 53SECh. 3.11 - The Insurance Institute for Highway Safety...Ch. 3.11 - Prob. 55SECh. 3.11 - Prob. 56SECh. 3.11 -
Federal authorities have destroyed considerable...Ch. 3.11 - The most widely reported index of the performance...Ch. 3.11 - As one part of a review of middle-manager...Ch. 3.11 - Prob. 60SECh. 3.11 - Prob. 61SECh. 3.11 - Prob. 62SECh. 3.11 - The correlations computed for the six variables in...Ch. 3.11 - Prob. 64SECh. 3.11 - Prob. 65SECh. 3.11 - Prob. 66SECh. 3.11 - Prob. 67SECh. 3.11 - Prob. 68SECh. 3.11 - Prob. 69SECh. 3.11 - Prob. 70SECh. 3.11 - Prob. 71SECh. 3.11 -
Refer to the data in Exercise 3.69.
Construct a...Ch. 3.11 - Prob. 73SECh. 3.11 - Prob. 74SECh. 3.11 - Prob. 75SECh. 3.11 - Prob. 76SECh. 3.11 - Prob. 77SECh. 3.11 - Prob. 78SECh. 3.11 - Prob. 79SECh. 3.11 - Prob. 80SE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 1 (a) State the method of collecting of engineering data based on the given situation: (i) To investigate the effect of chemical in tyres on employee in car services centre, Nurse Health Institute has use employee health and employment records over the past two or three decades as a source of data. (ii) National Semiconductor company is able to identify ways to reduce defects and increase yield by analyzing and understanding the factors that drive performance such as identifying product sensitivities and the root cause of manufacturing inefficiencies.arrow_forwardThe article "Experimental Measurement of Radiative Heat Transfer in Gas-Solid Suspension Flow System" (G. Han, K. Tuzla, and J. Chen, AIChe Journal, 2002:1910- 1916) discusses the calibration of a radiometer. Several measurements were made on the electromotive force readings of the radiometer (in volts) and the radiation flux (in kilowatts per square meter). The results (read from a graph) are presented in the following table. Heat flux (y) 15 31 51 55 67 89 Signal output (x) 1.08 2.42 4.17 4.46 5.17 6.92 Compute the least-squares line for predicting heat flux from the signal output. If the radiometer reads 3.00 V, predict the heat flux. If the radiometer reads 8.00 V, should the heat flux be predicted? If so, predict it. If not, explain why. C.arrow_forwardAir pollutants common in U.S. cities include fine particulate matter (PM) and ozone (O3). PM is measured as “inhalable” particles 10 micrometers in diameter or “fine inhalable” particles 2.5 micrometers in diameter. Suppose that studies show, for a particular region, that cities exceed PM2.5 standards 20% of the time and exceed ozone standards 10% of the time. Assume that PM2.5 and ozone measurements are statistically independent. A) Determine the probability that a city, selected at random, exceeds one of the standards. B) If a city exceeds the standards, what is the probability that it exceeds only the PM2.5 standard?arrow_forward
- Please show me your solutions and interpretations. Show the completehypothesis-testing procedure.An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp. 59–75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05.arrow_forwardThe article "Celulose Acetate Microspheres Prepared by O/W Emulsification and Solvent Evaporation Method" (K. Soppinmath, A. Kulkami, et al., Journal of Microencapsulation, 2001:811-817) describes a study of the effects of the concentrations of polyvinyl alcohol (PVAL) and dichloromethane (DCM) on the encapsulation efficiency in a process that produces microspheres containing the drug ibuprofen. There were three concentrations of PVAL (measured in units of % wiv) and three of DCM (in mL). The results presented in the following table are consistent with the means and standard deviations presented in the article. PVAL DCM = 50 DCM = 40 DCM = 30 0.5 98.983 99.268 95.149 96.810 94.572 86.718 75.288 74.949 72.363 1.0 89.827 94.136 96.537 82.352 79.156 80.891 76.625 76.941 72.635 2.0 95.095 95.153 92.353 86.153 91.653 87.994 80.059 79.200 77.141 Construct an ANOVA table. You may give ranges for the P-values. b. Discuss the relationships among PVAL concentration, DCM concentration, and…arrow_forwardHere is a dataset containing plant growth measurements of plants grown in solutions of commonly-found chemicals in roadway runoff.Phragmites australis, a fast-growing non-native grass common to roadsides and disturbed wetlands of Tidewater Virginia, was grown in a greenhouse and watered with either: Distilled water (control); A weak petroleum solution (representing standard roadway runoff); Sodium chloride solution; Magnesium chloride solution; De-icing brine (50% sodium chloride and 50% magnesium chloride).Twenty grass preparations were used for each solution, and total growth (in cm) was recorded after watering every other day for 40 days.-Perform the correct statistical test to determine the p-value.-Report your answer rounded to four decimal places.-You should use formulas, functions, and the Data Analysis ToolPak in MS Excel to avoid additive rounding errors. Here are some useful functions: =t.test(array1,array2,tails,type) Produces a p-value for any…arrow_forward
- An article in the ASCE Journal of Energy Engineering [“Overview of Reservoir Release Improvements at 20 TVA Dams” (Vol. 125, April 1999, pp. 1–17)] presents data on dissolved oxygen concentrations in streams below 20 dams in the Tennessee Valley Authority system. The observations are (in milligrams per liter):arrow_forwardState the method of collecting of engineering data based on the given situation:(i) To investigate the effect of chemical in tyres on employee in car services centre, Nurse Health Institute has use employee health and employment records over the past two or three decades as a source of data.(ii) National Semiconductor company is able to identify ways to reduce defects and increase yield by analyzing and understanding the factors that drive performance such as identifying product sensitivities and the root cause of manufacturing inefficiencies.arrow_forward6. An economist studies the relationship between ahappiness index (y) and life expectancy (x) forindividual countries. Assume the SLR model.We know: n = 26, Y-hat = 0.98 + 0.08x , andthe 95% CI: 0.05 < β1 < 0.11.a) Does the evidence suggest a linearrelationship between the happiness indexand life expectancy? Explain.b) If appropriate, predict the happiness indexvalue for a country with a life expectancy of 75.arrow_forward
- The vulnerability of inshore environments to contamination due to urban and industrial expansion in Mombasa is discussed in the paper “Metals, Petroleum Hydrocarbons and Organo- chlorines in Inshore Sediments and Waters on Mombasa, Kenya” [Marine Pollution Bulletin (1997) 34:570–577]. A geochemical and oceanographic survey of the inshore waters of Mombasa, Kenya, was undertaken during the period from September 1995 to January 1996. In the survey, suspended particulate matter and sediment were collected from 48 stations within Mombasa’s estuarine creeks. The concentrations of major oxides and 13 trace elements were determined for a varying number of cores at each of the stations. In particular, the lead concentrations in sus-pended particulate matter (mg kg21 dry weight) were determined at 37 stations. The researchers were interested in determining whether the average lead concentration was greater than 30 mg kg21 dry weight. The data are given in the following table along with summary…arrow_forwardThe vulnerability of inshore environments to contamination due to urban and industrial expansion in Mombasa is discussed in the paper “Metals, Petroleum Hydrocarbons and Organo- chlorines in Inshore Sediments and Waters on Mombasa, Kenya” [Marine Pollution Bulletin (1997) 34:570–577]. A geochemical and oceanographic survey of the inshore waters of Mombasa, Kenya, was undertaken during the period from September 1995 to January 1996. In the survey, suspended particulate matter and sediment were collected from 48 stations within Mombasa’s estuarine creeks. The concentrations of major oxides and 13 trace elements were determined for a varying number of cores at each of the stations. In particular, the lead concentrations in sus-pended particulate matter (mg kg21 dry weight) were determined at 37 stations. The researchers were interested in determining whether the average lead concentration was greater than 30 mg kg21 dry weight. The data are given in the following table along with summary…arrow_forwardsection 9.4 #20 working with concepts Curing diabetes: Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach in order to produce weight loss. In a recent study, 82 patients with Type 2 diabetes underwent this procedure, and 59 of them experienced a recovery from diabetes. Does this study provide convincing evidence that more than 60% of those with diabetes who undergo this surgery will recover from diabetes? Use the α = 0.05 level of significance.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Time Series Analysis Theory & Uni-variate Forecasting Techniques; Author: Analytics University;https://www.youtube.com/watch?v=_X5q9FYLGxM;License: Standard YouTube License, CC-BY
Operations management 101: Time-series, forecasting introduction; Author: Brandoz Foltz;https://www.youtube.com/watch?v=EaqZP36ool8;License: Standard YouTube License, CC-BY