Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 13.5, Problem 54E
To determine
Check whether the data support the hypothesis of a linear relationship between surface and subsurface concentrations at the 0.05 level of significance.
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Samples of both surface soil and subsoil were taken from eight randomly selected agricultural
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Surface pH 6.55 5.98 5.59 6.17 5.92 6.18 6.43 5.68
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The article “Snow Cover and TemperatureRelationships in North America and Eurasia” (J.Climate and Applied Meteorology, 1983: 460–469) usedstatistical techniques to relate the amount of snow coveron each continent to average continental temperature.Data presented there included the following ten observationson October snow cover for Eurasia during the years1970–1979 (in million km2):6.5 12.0 14.9 10.0 10.7 7.9 21.9 12.5 14.5 9.2What would you report as a representative, or typical,value of October snow cover for this period, and whatprompted your choice?
Exposure to microbial products, especially endotoxin, may have an impact on vulnerability to allergic diseases. The following are data on concentration (EU/mg) in settled dust for one sample of
of farm homes
U: 9.0
4.0 13.0 32.0 1.0 5.0 81.0 20.0 37.0
15.0 25.0
F: 2.0 16.0 12.0 7.0 7.0 7.0 4.0 19.0 3.0 7.8 22.0 8.7 1.0 1.0 0.7
(a) Determine the sample mean for each sample. (Enter your answers to two decimal places.)
For urban homes, -22
✔EU/mg
EU/mg
For farm homes, x-750
How do they compare?
to the
dotoxin con otration
Chapter 13 Solutions
Introduction To Statistics And Data Analysis
Ch. 13.1 - Let x be the size of a house (in square feet) and...Ch. 13.1 - Consider the variables and population regression...Ch. 13.1 - The flow rate in a device used for air quality...Ch. 13.1 - The paper Predicting Yolk Height, Yolk Width,...Ch. 13.1 - A sample of small cars was selected, and the...Ch. 13.1 - Prob. 6ECh. 13.1 - Suppose that a simple linear regression model is...Ch. 13.1 - a. Explain the difference between the line y x...Ch. 13.1 - Prob. 9ECh. 13.1 - Hormone replacement therapy (HRT) is thought to...
Ch. 13.1 - Consider the data and estimated regression line...Ch. 13.1 - A simple linear regression model was used to...Ch. 13.1 - Consider the accompanying data on x = Advertising...Ch. 13.2 - What is the difference between and b? What is the...Ch. 13.2 - The largest commercial fishing enterprise in the...Ch. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Prob. 18ECh. 13.2 - An experiment to study the relationship between x...Ch. 13.2 - The paper The Effects of Split Keyboard Geometry...Ch. 13.2 - The authors of the paper Decreased Brain Volume in...Ch. 13.2 - Do taller adults make more money? The authors of...Ch. 13.2 - Researchers studying pleasant touch sensations...Ch. 13.2 - Prob. 24ECh. 13.2 - Acrylamide is a chemical that is sometimes found...Ch. 13.2 - Prob. 26ECh. 13.2 - Exercise 13.18 described a regression analysis...Ch. 13.2 - Consider the accompanying data on x = Research and...Ch. 13.2 - Prob. 29ECh. 13.2 - In anthropological studies, an important...Ch. 13.3 - The graphs accompanying this exercise are based on...Ch. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - The article Vital Dimensions in Volume Perception:...Ch. 13.3 - Prob. 35ECh. 13.3 - An investigation of the relationship between x =...Ch. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - In Exercise 13.19, we considered a regression of y...Ch. 13.4 - Prob. 40ECh. 13.4 - A subset of data read from a graph that appeared...Ch. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - The article first introduced in Exercise 13.34 of...Ch. 13.4 - The shelf life of packaged food depends on many...Ch. 13.4 - For the cereal data of the previous exercise, the...Ch. 13.4 - The article Performance Test Conducted for a Gas...Ch. 13.5 - Prob. 48ECh. 13.5 - Prob. 49ECh. 13.5 - A sample of n = 353 college faculty members was...Ch. 13.5 - Prob. 51ECh. 13.5 - Prob. 52ECh. 13.5 - The accompanying summary quantities for x =...Ch. 13.5 - Prob. 54ECh. 13.5 - Prob. 55ECh. 13.6 - Prob. 56ECh. 13 - Prob. 1CRECh. 13 - Prob. 2CRECh. 13 - Prob. 3CRECh. 13 - Prob. 4CRECh. 13 - Prob. 5CRECh. 13 - The accompanying graphical display is similar to...Ch. 13 - Prob. 7CRECh. 13 - Prob. 8CRECh. 13 - Consider the following data on y = Number of songs...Ch. 13 - Many people take ginkgo supplements advertised to...Ch. 13 - Prob. 11CRECh. 13 - Prob. 12CRECh. 13 - Prob. 13CRECh. 13 - Prob. 14CRECh. 13 - The discharge of industrial wastewater into rivers...Ch. 13 - Many people take ginkgo supplements advertised to...Ch. 13 - It is hypothesized that when homing pigeons are...Ch. 13 - Prob. 18CRECh. 13 - Prob. 57CRCh. 13 - Prob. 58CRCh. 13 - Prob. 59CRCh. 13 - The article Photocharge Effects in Dye Sensitized...Ch. 13 - Prob. 61CRCh. 13 - Prob. 62CRCh. 13 - Prob. 63CRCh. 13 - Prob. 64CRCh. 13 - Prob. 65CRCh. 13 - The article Improving Fermentation Productivity...Ch. 13 - Prob. 67CRCh. 13 - Prob. 68CRCh. 13 - Prob. 69CR
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- Exposure to microbial products, especially endotoxin, may have an impact on vulnerability to allergic diseases. The following are data on concentration (EU/mg) in settled dust for one sample of urban homes and another of farm homes. U: 6.0 5.0 11.0 33.0 4.0 5.0 80.0 18.0 35.0 17.0 23.0 F: 6.0 13.0 13.0 8.0 9.0 6.0 2.0 17.0 6.0 8.2 21.0 9.7 3.0 2.0 0.5 n USE SALT (a) Determine the sample mean for each sample. (Round your answers to four decimal places.) urban homes EU/mg farm homes EU/mg How do they compare? O The average endotoxin concentration in urban homes is more than double the average concentration in farm homes. O The average endotoxin concentration in farm homes is more than double the average concentration in urban homes. O The average endotoxin concentration is about the same in both urban and farm homes. (b) Determine the sample median for each sample. urban homes EU/mg farm homes EU/mg How do they compare? O The median endotoxin concentration is about the same in both urban…arrow_forwardThe article “Ozone for Removal of Acute Toxicity from Logyard Run-off” (M. Zenaitis and S. Duff, Ozone Science and Engineering, 2002: 83–90) presents chemical analyses of runoff water from sawmills in British Columbia. Included were measurements of pH for six water specimens: 5.9, 5.0, 6.5, 5.6, 5.9, 6.5. Assume that these are a random sample of water specimens from a normal population. a) Find a 98% prediction interval for a pH of a single specimen. b) Find a tolerance interval for the pH that includes 95% of the specimens with 95% confidence.arrow_forwardAn experiment was conducted in order to determine if cerebral blood flow in human beings can be predicted from arterial oxygen tension (millimeters of mercury). Fifteen patients Page 472 in the study, and the following data were collected: Blood Flow, Arterial Oxygen Y Tension, a 84.33 603.40 87.80 582.50 82.20 556.20 78.21 594.60 78.44 558.90 80.01 575.20 TT 83.53 580.10 79.46 451.20 75.22 404.00 76.58 484.00 77.90 452.40 78.80 448.40 80.67 334.80 86.60 320.30 350.30 78.20 Estimate the "b" in the quadratic regression equation: y=a+bx+cx². Use 2 decimal places.arrow_forward
- Q2.4arrow_forward1. Analyze the data as a two way factorial design. Johnson and Leone (Statistics and Experimental Design in Engineering and the Physical Sciences, Wiley, 977) describe an experiment to investigate warping of copper plates. The two factors studied were the temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data were as follows: Temperature (°C) 50 75 100 125 40 17, 20 12,9 16, 12 21, 17 Copper Content (%) 60 80 16, 21 18, 13 18, 21 23, 2! 24, 22 17, 12 25, 23 23, 22 100 28, 27 27, 31 30, 23 29, 31arrow_forwardThe article “Hydrogeochemical Characteristics of Groundwater in a Mid-Western CoastalAquifer System” (S. Jeen, J. Kim, et al., Geosciences Journal, 2001:339–348) presentsmeasurements of various properties of shallow groundwater in a certain aquifer system inKorea. Following are measurements of electrical conductivity (in microsiemens percentimeter) for 23 water samples.2099 528 2030 1350 1018 384 14991265 375 424 789 810 522 513488 200 215 486 257 557 260461 500Find the mean.Find the standard deviation.Find the median.Construct a dotplot.Find the 10% trimmed mean.Find the first quartile.Find the third quartile.Find the interquartile range.Construct a boxplot.Which of the points, if any, are outliers?If a histogram were constructed, would it be skewed to the left, skewed to the right, orapproximately symmetric?arrow_forward
- assume that the data was obtained from two indepen-dent samples. That is, 28 subjects were enrolled into the study, and half were randomly assignedto the corn flakes diet, and half to the oat bran diet. After two weeks the LDL cholesterol level ofeach individual was recorded. LDL (mmol/l)Subject Corn Flakes Oat Bran1 4.61 3.842 6.42 5.573 5.40 5.854 4.54 4.805 3.98 3.686 3.82 2.967 5.01 4.418 4.34 3.729 3.80 3.4910 4.56 3.8411 5.35 5.2612 3.89 3.7313 2.25 1.8414 4.24 4.14 Questions; a) What are the appropriate null and alternative hypotheses for a two-sided test?(b) Conduct the test at the 0.05 level of significance. What is the p-value?(c) Construct a 95% confidence interval.arrow_forwardA study measures the sorption rate of three different types of organic chemical solvents. These solvents are used to clean industrial-fabricated metal parts and are potential hazardous waste. Independent samples of solvents from each type were tested and their sorption rates were recorded as a mole percentage. Aromatics Chloroalkenes Esters 1.06 0.95 1.58 1.12 0.29 0.53 0.79 1.45 0.83 0.06 0.54 0.82 0.57 0.44 0.17 0.89 1.16 0.10 0.61 0.65 0.43 0.51 Suppose that the sampled sorption rates for the three solvents came from a decidedly non-normal population, perform the hypothesis test to determine if there is significant differences in the sorption rates of the 3 solvents. What is the value of the test statistic?arrow_forwardA study measures the sorption rate of three different types of organic chemical solvents. These solvents are used to clean industrial-fabricated metal parts and are potential hazardous waste. Independent samples of solvents from each type were tested and their sorption rates were recorded as a mole percentage. Aromatics Chloroalkenes Esters 1.06 0.95 1.58 1.12 0.29 0.53 0.79 1.45 0.83 0.06 0.54 0.82 0.57 0.44 0.17 0.89 1.16 0.10 0.61 0.65 0.43 0.51 Suppose that the sampled sorption rates for the three solvents came from a decidedly non-normal population, perform the hypothesis test to determine if there is significant differences in the sorption rates of the 3 solvents. What is the proper conclusion to this test? Choose the capital letter corresponding to your answer. A. The sorption rates are just the same. B. The sorption rates are significantly different. C. Aromatics and Esters have different sorption rates. D. Chloroalkenes and Esters have same sorption rates. E. None of the abovearrow_forward
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