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statistics for experimentert

Questions and Answers of Statistics For Experimentert

Artificial Teeth: Hardness. In a study by J. Zeng et al., three materials for making artificial teeth—Endura, Duradent, and Duracross—were tested for hardness. Their results were published as the
Artificial Teeth: Wear. In a study by J. Zeng et al., three materials for making artificial teeth—Endura, Duradent, and Duracross—were tested for wear. Their results were published as the paper
Rock Sparrows. Rock Sparrows breeding in northern Italy are the subject of a long-term ecology and conservation study due to their wide variety of breeding patterns. Both males and females have a
Ground Water. The U.S. Geological Survey, in cooperation with the Florida Department of Environmental Protection, investigated the effects of waste disposal practices on ground water quality at five
Monthly Rents. The U.S. Census Bureau collects data on monthly rents of newly completed apartments and publishes the results in Current Housing Reports. Independent random samples of newly completed
Empty Stomachs. In the publication “How Often Do Fishes‘Run on Empty’?” (Ecology, Vol. 83, No 8, pp. 2145–2151), D. Arrington et al. examined almost 37,000 fish of 254 species from the
SmartPhone Battery Life. Consumer Reports publishes reviews and comparisons of products based on results from its laboratory. Data from their website gave the following table for battery lives in
Permeation Sampling. Permeation sampling is a method of sampling air in buildings for pollutants. It can be used over a long period of time and is not affected by humidity, air currents, or
Theraphosaidea. In the article “A new genus of the family Theraphosidae (Araneae: Mygalomorphae) with description of three new species from the Western Ghats of Karnataka, India” (Journal of
Copepod Cuisine. Copepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists G. Weiss et al. at the Chesapeake Biological Laboratory in Maryland designed an
Book Review. ‘www.goodreads.com is a website where people can leave their review about book and rate them. The books are rated from 5 stars (5*), indicating a very good book, to 1 star (1*), which
Show that, for two populations, MSE = s2 p, where s2 p is the pooled variance defined in Section 10.2 on page 469. Conclude that√MSE is the pooled sample standard deviation, sp.
Discuss two methods for checking the assumptions of normal populations and equal standard deviations for a one-way ANOVA.
Figure 16.7 shows side-by-side boxplots of independent samples from three normally distributed populations having equal standard deviations. Based on these boxplots, would you be inclined to reject
Figure 16.6 shows side-by-side boxplots of independent samples from three normally distributed populations having equal standard deviations. Based on these boxplots, would you be inclined to reject
Explain the logic behind one-way ANOVA.
To compare the variation among the sample means to the variation within the samples, we use the ratio of MSTR to . This ratio is called the .
A measure of variation within the samples is called the . The mathematical abbreviation for it is .
A measure of variation among the sample means is called the . The mathematical abbreviation for it is .
For a one-way ANOVA test, suppose that, in reality, the null hypothesis is false. Does that mean that no two of the populations have the same mean? If not, what does it mean?Regarding one-way ANOVA,
Explain the reason for the word variance in the phrase analysis of variance.
If we define s = √MSE, of which parameter is s an estimate?
One-way ANOVA is a procedure for comparing the means of several populations. It is the generalization of what procedure for comparing the means of two populations?
An F-curve has df = (8, 19). What is the number of degrees of freedom for thea. denominator?b. numerator?
An F-curve has df = (12, 7). What is the number of degrees of freedom for thea. numerator?b. denominator?
Using the Fα-notation, identify the F-value having area 0.975 to its left.
What symbol is used to denote the F-value having area 0.05 to its right? 0.025 to its right? α to its right?
How many degrees of freedom does an F-curve have? What are those degrees of freedom called?
How do we identify an F-distribution and its corresponding F-curve?
State the four conditions required for making regression inferences.In Exercises 15.3–15.6, assume that the variables under consideration satisfy the assumptions for regression inferences.
Fill in the blanks.a. The line y = β0 + β1 x is called the .b. The common conditional standard deviation of the response variable is denoted .c. For x = 6, the conditional distribution of the
Regarding the standard error of the estimate,a. give two interpretations of it.b. identify another name used for it, and explain the rationale for that name.c. which one of the three sums of squares
Figure 15.8 shows three residual plots and a normal probability plot of residuals. For each part, decide whether the graph suggests violation of one or more of the assumptions for regression
Figure 15.9 on the next page shows three residual plots and a normal probability plot of residuals. For each part, decide whether the graph suggests violation of one or more of the assumptions for
Tax Efficiency. Tax efficiency is a measure—ranging from 0 to 100—of how much tax due to capital gains stock or mutual funds investors pay on their investments each year; the higher the tax
Corvette Prices. The Kelley Blue Book provides information on wholesale and retail prices of cars. Following are age and price data for 10 randomly selected Corvettes between 1 and 6 years old.Here,
Homes for Sale. RE/MAX, an acronym for “Real Estate Maximums”, is a real estate organization in Canada, specializing in buying and selling of properties, with over 5,000 sales associates. A
Plant Emissions. Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses.N. Agelopolous et al. examined factors that affect the emission of
Crown-Rump Length. In the article “The Human Vomeronasal Organ. Part II: Prenatal Development” (Journal of Anatomy, Vol. 197, Issue 3, pp. 421–436), T. Smith and K. Bhatnagar examined the
Study Time and Score. An instructor at Arizona State University asked a random sample of 10 students to record their study times in a beginning statistics course. She then made a table for total
Tax Efficiency. Use the data on percentage of investments in energy securities and tax efficiency from Exercise 15.22.
Corvette Prices. Use the age and price data for Corvettes from Exercise 15.23.
Homes for Sale. Use the size and price data for resale homes from Exercise 15.24.
Plant Emissions. Use the data on plant weight and quantity of volatile emissions from Exercise 15.25.
Crown-Rump Length. Use the data on age of fetuses and length of crown-rump from Exercise 15.26.
Study Time and Score. Use the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 15.27.Working with Large Data Sets In Exercises 15.34–15.43, use the
Birdies and Score. How important are birdies (a score of one under par on a given hole) in determining the final total score of a woman golfer? From the U.S. Women’s Open website, we obtained data
U.S. Presidents. The Information Please Almanac provides data on the ages at inauguration and of death for the presidents of the United States. We give those data on the WeissStats site for those
Movie Grosses. Box Office Mojo collects and posts data on movie grosses. For a random sample of 50 movies, we obtained both the domestic (U.S.) and overseas grosses, in millions of dollars. The data
Acreage and Value. The document Arizona Residential Property Valuation System, published by the Arizona Department of Revenue, describes how county assessors use computerized systems to value
Home Size and Value. On the WeissStats site are data on home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 15.37.
High and Low Temperature. The National Oceanic and Atmospheric Administration publishes temperature information of cities around the world in Climates of the World. A random sample of 50 cities gave
PCBs and Pelicans. Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was
Gas Guzzlers. The magazine Consumer Reports publishes information on automobile gas mileage and variables that affect gas mileage. In one issue, data on gas mileage (in mpg) and engine displacement
Estriol Level and Birth Weight. J. Greene and J. Touchstone conducted a study on the relationship between the estriol levels of pregnant women and the birth weights of their children. Their findings,
Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists.
Consider the standardized variable z = b1 − β1σ/√Sxx.a. Identify its distribution.b. Why can’t it be used as the test statistic for a hypothesis test concerning β1?c. What statistic is used?
Tax Efficiency. Following are the data on percentage of investments in energy securities and tax efficiency from Exercise 15.22.Use α = 0.05.x 3.1 3.2 3.7 4.3 4.0 5.5 6.7 7.4 7.4 10.6 y 98.1 94.7
Corvette Prices. Following are the age and price data for Corvettes from Exercise 15.23. Use α = 0.10.x 6662254514 y 290 280 295 425 384 315 355 328 425 325
Homes for Sale. Following are the size and price data for resale homes from Exercise 15.24. Use α = 0.05.x 2500 1346 5000 1250 1700 1937 2200 2249 2500 y 458.5 447.0 695.0 114.9 158.8 349.9 369.0
Plant Emissions. Following are the data on plant weight and quantity of volatile emissions from Exercise 15.25. Use α = 0.05.x 57 85 57 65 52 67 62 80 77 53 68 y 8.0 22.0 10.5 22.5 12.0 11.5 7.5
Crown-Rump Length. Following are the data on age of fetuses and length of crown-rump from Exercise 15.26. Use α = 0.10.x 10 10 13 13 18 19 19 23 25 28 y 66 66 108 106 161 166 177 228 235 280
Study Time and Score. Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 15.27. Use α = 0.01.x 12 24 10 9 15 17 9 18 16 22 y 84 79 81
Tax Efficiency. Refer to Exercise 15.58; 95%.
Corvette Prices. Refer to Exercise 15.59; 90%.
Homes for Sale. Refer to Exercise 15.60; 99%.
Plant Emissions. Refer to Exercise 15.61; 95%.
Crown-Rump Length. Refer to Exercise 15.62; 90%.
Study Time and Score. Refer to Exercise 15.63; 99%.
Birdies and Score. The data from Exercise 15.34 for number of birdies during a tournament and final score for 63 women golfers are on the WeissStats site.
U.S. Presidents. The data from Exercise 15.35 for the ages at inauguration and of death for the presidents of the United States are on the WeissStats site.
Movie Grosses. The data from Exercise 15.36 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site.
Acreage and Value. The data from Exercise 15.37 for lot size(in acres) and assessed value (in thousands of dollars) for a sample of homes in a particular area are on the WeissStats site.
Home Size and Value. The data from Exercise 15.38 for home size (in square feet) and assessed value (in thousands of dollars)for the same homes as in Exercise 15.73 are on the WeissStats site.
High and Low Temperature. The data from Exercise 15.39 for average high and low temperatures in January for a random sample of 50 cities are on the WeissStats site.
PCBs and Pelicans. Use the data points given on the WeissStats site for shell thickness and concentration of PCBs for 60 Anacapa pelican eggs referred to in Exercise 15.40.
Gas Guzzlers. Use the data on the WeissStats site for gas mileage and engine displacement for 121 vehicles referred to in Exercise 15.41.
Estriol Level and Birth Weight. Use the data on the WeissStats site for estriol levels of pregnant women and birth weights of their children referred to in Exercise 15.42.
Shortleaf Pines. The data from Exercise 15.43 for volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines are on the WeissStats site.
Body Fat. In the paper “Total Body Composition by DualPhoton (153Gd) Absorptiometry” (American Journal of Clinical Nutrition, Vol. 40, pp. 834–839), R. Mazess et al. studied methods for
Tax Efficiency. Following are the data on percentage of investments in energy securities and tax efficiency from Exercise 15.22.x 3.1 3.2 3.7 4.3 4.0 5.5 6.7 7.4 7.4 10.6 y 98.1 94.7 92.0 89.8 87.5
Corvette Prices. Following are the age and price data for Corvettes from Exercise 15.23.x 6662254514 y 290 280 295 425 384 315 355 328 425 325a. Obtain a point estimate for the mean price of all
Homes for Sale. Following are the size and price data for resale homes from Exercise 15.24.x 2500 1346 5000 1250 1700 1937 2200 2249 2500 y 458.5 447.0 695.0 114.9 158.8 349.9 369.0 425.0 469.0a.
Plant Emissions. Following are the data on plant weight and quantity of volatile emissions from Exercise 15.25.x 57 85 57 65 52 67 62 80 77 53 68 y 8.0 22.0 10.5 22.5 12.0 11.5 7.5 13.0 16.5 21.0
Crown-Rump Length. Following are the data on age of fetuses and length of crown-rump from Exercise 15.26.x 10 10 13 13 18 19 19 23 25 28 y 66 66 108 106 161 166 177 228 235 280a. Determine a point
Study Time and Score. Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 15.27.x 12 24 10 9 15 17 9 18 16 22 y 84 79 81 90 81 85 82 84
Birdies and Score. The data from Exercise 15.34 for number of birdies during a tournament and final score of 63 women golfers are on the WeissStats site. Specified value of the predictor variable:12
U.S. Presidents. The data from Exercise 15.35 for the ages at inauguration and of death of the presidents of the United States are on the WeissStats site. Specified value of the predictor variable:
Movie Grosses. The data from Exercise 15.36 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site. Specified value of the predictor variable:$100 million.
Acreage and Value. The data from Exercise 15.37 for lot size (in acres) and assessed value (in thousands of dollars) of a sample of homes in a particular area are on the WeissStats site. Specified
Home Size and Value. The data from Exercise 15.38 for home size (in square feet) and assessed value (in thousands of dollars)for the same homes as in Exercise 15.101 are on the WeissStats
High and Low Temperature. The data from Exercise 15.39 for average high and low temperatures in January of a random sample of 50 cities are on the WeissStats site. Specified value of the predictor
PCBs and Pelicans. The data from Exercise 15.40 for shell thickness and concentration of PCBs of 60 Anacapa pelican eggs are on the WeissStats site. Specified value of the predictor variable: 220 ppm.
Gas Guzzlers. The data from Exercise 15.41 for gas mileage and engine displacement of 121 vehicles are on the WeissStats site.Specified value of the predictor variable: 3.0 L.
Estriol Level and Birth Weight. The data from Exercise 15.42 for estriol levels of pregnant women and birth weights of their children are on the WeissStats site. Specified value of the predictor
Shortleaf Pines. The data from Exercise 15.43 for volume, in cubic feet, and diameter at breast height, in inches, of 70 shortleaf pines are on the WeissStats site. Specified value of the predictor
Body Fat. The data from Exercise 15.80 for age and body fat of 18 randomly selected adults are on the WeissStats site. Specified value of the predictor variable: 30 years.Extending the Concepts and
Age and Price of Orions. Refer to the data on age and price of a sample of 11 Orions given in Table 15.4 on page 701.a. For each age between 2 and 7 years, obtain a 95% confidence interval for the
Refer to the confidence interval and prediction interval formulas in Procedures 15.3 and 15.4, respectively.a. Explain why, for a fixed confidence level, the margin of error for the estimate of the
Is ρ a parameter or a statistic? What about r? Explain your answers.In each of Exercises 15.115–15.117, fill in the blank.

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