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statistics for experimentert

Questions and Answers of Statistics For Experimentert

Class Project Simulation. This exercise can be done individually or, better yet, as a class project.a. Use a random-number table or random-number generator to obtain a sample (with replacement) of
Gestation Periods of Humans. For humans, gestation periods are normally distributed with a mean of 266 days and a standard deviation of 16 days. Suppose that you observe the gestation periods for a
Catalyst. A catalyst is a substance that starts or accelerates a chemical reaction without undergoing any permanent change itself.A chemist, while adding a particular catalyst to a reaction, observes
Expenditure per Student. According to a report on theestimates of school statisticsin a particular country, the mean expenditure(public) per student is $10.94 thousand annually. Assume a standard
Prices of Dwellings. C. P. Barros et al. studied prices of new, resale and unoccupied dwellings in Beijing in the 2011 article “Housing Sale in Urban Beijing” (School of Economics and Management,
Nurses and Hospital Stays. In the article “A Multifactorial Intervention Program Reduces the Duration of Delirium, Length of Hospitalization, and Mortality in Delirious Patients” (Journal of the
Ethanol Railroad Tariffs. An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. The Agricultural Marketing Service publishes tariff rates for railroad-car
Taller Young Women. In the document Anthropometric Reference Data for Children and Adults, C. Fryer et al. present data from the National Health and Nutrition Examination Survey on a variety of human
Poverty and Dietary Calcium. Calcium is the most abundant mineral in the human body and has several important functions. Recommendations for calcium are provided in Dietary Reference Intakes,
Early-Onset Dementia. Dementia is the loss of the intellectual and social abilities severe enough to interfere with judgment, behavior, and daily functioning. Alzheimer’s disease is the most common
Worker Fatigue. A study by M.Chen et al. titled “Heat Stress Evaluation and Worker Fatigue in a Steel Plant” (American Industrial Hygiene Association, Vol. 64, pp. 352–359) assessed fatigue in
A variable of a population is normally distributed with mean μand standard deviation σ. For samples of size n, fill in the blanks.Justify your answers.a. Approximately 68% of all possible samples
Testing for Content Accuracy. A brand of water-softener salt comes in packages marked “net weight 40 lb.” The company that packages the salt claims that the bags contain an average of 40 lb of
Household Size. In Example 7.9 on page 344, we conducted a simulation to check the plausibility of the central limit theorem.The variable under consideration there is household size, and the
Gestation Periods of Humans. For humans, gestation periods are normally distributed with a mean of 266 days and a standard deviation of 16 days.a. Use the technology of your choice to simulate 2000
Emergency Room Traffic. A variable is said to have an exponential distribution or to be exponentially distributed if its distribution has the shape of an exponential curve, that is, a curve of the
use and understand the formulas in this chapter.
define sampling error, and explain the need for sampling distributions.
state and apply the central limit theorem.
determine the sampling distribution of the sample mean when the variable under consideration is normally distributed.
determine the sampling distribution of the sample mean when the sample size is relatively large.
Officer Salaries. The following table gives the monthly salaries(in $1000s) of the six officers of a company.Officer AB C D E F Salary 8 12 16 20 24 28a. Calculate the population mean monthly salary,
Officer Salaries. Refer to Problem 5.a. Use the answer you obtained in Problem 5(b) and Definition 3.11 on page 162 to find the mean of the variable x¯. Interpret your answer.b. Can you obtain the
The following graph shows the curve for a normally distributed variable. Superimposed are the curves for the sampling distributions of the sample mean for two different sample sizes.A BNormal curve
Income Tax and the IRS. In 2010, the Internal Revenue Service (IRS) sampled 308,946 tax returns to obtain estimates of various parameters. Data were published in Statistics of Income, Individual
New Car Passion. Edmunds.com publishes information on new car prices in Car Shopping Trends Report. During a recent year, Americans spent an average of $30,803 for a new car. Assume a standard
Hours Actually Worked. In the article “How Hours of Work Affect Occupational Earnings” (Monthly Labor Review, Vol. 121), D. Hecker discussed the number of hours actually worked as opposed to the
Hours Actually Worked. Repeat Problem 10, assuming that the number of hours per week worked by men in firefighting is normally distributed.
Western Pygmy-Possum. The foraging behavior of the western pygmy-possum was investigated in the article “Strategies of a Small Nectarivorous Marsupial, the Western Pygmy-Possum, in Response to
Western Pygmy-Possum. Refer to Problem 12.a. Find the percentage of all samples of four pygmy-possums that have mean weights within 0.225 g of the population mean weight of 8.5 g.b. Obtain the
Blood Glucose Level. In the article “Drinking Glucose Improves Listening Span in Students Who Miss Breakfast” (Educational Research, Vol. 43, No. 2, pp. 201–207), authors N. Morris and P. Sarll
Life Insurance in Force. The American Council of Life Insurers provides information about life insurance in force per covered family in the Life Insurers Fact Book. Assume that the standard deviation
Paint Durability. A paint manufacturer in Pittsburgh claims that his paint will last an average of 5 years. Assuming that paint life is normally distributed and has a standard deviation of 0.5 year,
Cloudiness in Breslau. In the paper “Cloudiness: Note on a Novel Case of Frequency” (Proceedings of the Royal Society of London, Vol. 62, pp. 287–290), K. Pearson examined data on daily degree
Psychological Skills of Dancers. The Athletic Coping Skills Inventory (ACSI) is a test to measure psychological skills believed to influence athletic performance. Researcher Ellinor Klockare studied
Random Numbers. A variable is said to be uniformly distributed or to have a uniform distribution with parameters a and b if its distribution has the shape of the horizontal line segment with equation
A simple random sample is taken from a population and yields the following data for a variable of the population:40 25 32 9 28 16 21 13 10 37 24 39 Find a point estimate for the population mean
A simple random sample is taken from a population and yields the following data for a variable of the population:20 2 6 2 12 6 9 8 16 8 21 Find a point estimate for the population mean (i.e., the
Refer to Exercise
and find a point estimate for the population standard deviation (i.e., the standard deviation of the variable).
Refer to Exercise 8.8 and find a point estimate for the population standard deviation (i.e., the standard deviation of the variab
Wedding Costs. According to Bride’s Magazine, getting married these days can be expensive when the costs of the reception, engagement ring, bridal gown, pictures—just to name a few—are
Cottonmouth Litter Size. In the article “The Eastern Cottonmouth (Agkistrodon piscivorus) at the Northern Edge of Its Range” (Journal of Herpetology, Vol. 29, No. 3, pp. 391–398), C. Blem and
Wedding Costs. A random sample of 20 recent weddings in a country yielded a mean wedding cost of $26,324.61. Assume that recent wedding costs in this country are normally distributed with a standard
Cottonmouth Litter Size. Refer to Exercise 8.18. Assume that σ = 2.4.a. Obtain a 95% confidence interval for the mean number of young per litter of all female eastern cottonmouths.b. Interpret your
A simple random sample of 20 new automobile models yielded the data shown to the right on fuel tank capacity, in gallons. 15.1 16.5 22.9 16.7 18.9 21.6 20.7 16.2 18.8 20.2 15.9 21.8 16.6 22.9 22.7
Home Improvements. The American Express Retail Index provides information on budget amounts for home improvements.The following table displays the budgets, in dollars, of 45 randomly sampled home
Giant Tarantulas. A tarantula has two body parts. The anterior part of the body is covered above by a shell, or carapace.In the paper “Reproductive Biology of Uruguayan Theraphosids”(The Journal
Serum Cholesterol Levels. Information on serum total cholesterol level is published by the Centers for Disease Control and Prevention in National Health and Nutrition Examination Survey.A simple
New Mobile Homes. A government bureau publishes annual price figures for new mobile homes. A simple random sample of 36 new mobile homes yielded the following prices, in thousands of dollars. Assume
New Mobile Homes. Refer to Examples 8.1 and 8.2. Use the data in Table 8.1 on page 354 to obtain a 68% confidence interval for the mean price of all new mobile homes. (Hint: Proceed as in Example
The variable under consideration is very close to being normally distributed, and the sample size is 10.
The variable under consideration is very close to being normally distributed, and the sample size is 75.
The sample data contain outliers, and the sample size is 20.
The sample data contain no outliers, the variable under consideration is roughly normally distributed, and the sample size is 20.
The distribution of the variable under consideration is highly skewed, and the sample size is 20.
The sample data contain no outliers, the sample size is 250, and the variable under consideration is far from being normally distributed.
Suppose that you have obtained data by taking a random sample from a population and that you intend to find a confidence interval for the population mean, μ. Which confidence level, 95% or 99%, will
Suppose that you will be taking a random sample from a population and that you intend to find a 99% confidence interval for the population mean, μ. Which sample size, 50 or 100, will result in the
A confidence interval for a population mean has a margin of error of 3.4.a. Determine the length of the confidence interval.b. If the sample mean is 52.8, obtain the confidence interval.c. Construct
A confidence interval for a population mean has a margin of error of 0.047.a. Determine the length of the confidence interval.b. If the sample mean is 0.205, obtain the confidence interval.c.
A confidence interval for a population mean has length 20.a. Determine the margin of error.b. If the sample mean is 60, obtain the confidence interval.c. Construct a graph that illustrates your
A confidence interval for a population mean has a length of 162.6.a. Determine the margin of error.b. If the sample mean is 643.1, determine the confidence interval.c. Construct a graph that
The length of the confidence interval can be determined if you know only the margin of error.
The margin of error can be determined if you know only the length of the confidence interval.
The confidence interval can be obtained if you know only the margin of error.
The confidence interval can be obtained if you know only the margin of error and the sample mean.
The margin of error can be determined if you know only the confidence level.
The confidence level can be determined if you know only the margin of error.
The margin of error can be determined if you know only the confidence level, population standard deviation, and sample size.
The confidence level can be determined if you know only the margin of error, population standard deviation, and sample size.
Formula 8.2 on page 366 provides a method for computing the sample size required to obtain a confidence interval with a specified confidence level and margin of error. The number resulting from the
A random sample of 10 venture-capital investments in the fiber optics business sector yielded the following data, in millions of dollars. Determine a 95% confidence interval for the mean amount, μ,
Poverty and Dietary Calcium. Calcium is the most abundant mineral in the human body and has several important functions. Most body calcium is stored in the bones and teeth, where it functions to
Toxic Mushrooms? Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. The Czech and Slovak governments have set a safety
Smelling Out the Enemy. Snakes deposit chemical trails as they travel through their habitats. These trails are often detected and recognized by lizards, which are potential prey. The ability to
Political Prisoners. According to a study of political prisoners, the mean duration of imprisonment for 40 prisoners with chronic post-traumatic stress disorder (PTSD) was 33.5 months. Assuming that
Concert Tours. Concert tours by famous pop stars or music groups such as Michael Jackson and Pink Floyd became really popular since the 1980s. Pollster has collected data on the highestgrossing
Venture-Capital Investments. Refer to Exercise 8.69.a. Find a 99% confidence interval for μ.b. Why is the confidence interval you found in part (a) longer than the one in Exercise 8.69?c. Draw a
Poverty and Dietary Calcium. Refer to Exercise 8.70.a. Find a 90% confidence interval for μ.b. Why is the confidence interval you found in part (a) shorter than the one in Exercise 8.70?c. Draw a
Medical Marijuana. An issue with legalization of medical marijuana is “diversion”, the process in which medical marijuana prescribed for one person is given, traded, or sold to someone who is not
American Alligators. Multi-sensor data loggers were attached to free-ranging American alligators in a study conducted by Y. Watanabe for the article “Behavior of American Alligators Monitored by
Medical Marijuana. Refer to Exercise 8.77.a. Determine the margin of error for the 95% confidence interval.b. Determine the margin of error for the 90% confidence interval.c. Compare the margins of
American Alligators. Refer to Exercise 8.78.a. Determine the margin of error for the 95% confidence interval.b. Determine the margin of error for the 99% confidence interval.c. Compare the margins of
Medical Marijuana. Refer to Exercise 8.77.a. The mean number of days that 30 adolescents in substance abuse treatment used medical marijuana in the last 6 months was 105.43.Find a 95% confidence
American Alligators. Refer to Exercise 8.78.a. The mean duration for a sample of 612 dives was 322 seconds.Find a 99% confidence interval for μ based on that data.b. Compare the 99% confidence
Prices of New Mobile Homes. Recall that a simple random sample of 36 new mobile homes yielded the prices, in thousands of dollars, shown in Table 8.1 on page 354. We found the mean of those prices to
In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 15 infants was 34.8 centimeters (cm). Complete parts (a) through (d) below.a.
Fuel Expenditures. In estimating the mean monthly fuel expenditure, μ, per household vehicle, the Energy Information Administration takes a sample of size 6841. Assuming that σ = $20.65, determine
Venture-Capital Investments. In Exercise 8.69, you found a 95% confidence interval for the mean amount of all venture-capital investments in the fiber optics business sector to be from $5.389 million
Smelling Out the Enemy. In Exercise 8.72, you found a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards to be from 456.4 to 608.0.Obtain the
Political Prisoners. A 95% confidence interval of 18.4 months to 48.6 months has been found for the mean duration of imprisonment,μ, of political prisoners of a certain country with chronic PTSD.a.
Concert Tours. In Exercise 8.74, you found a 99% confidence interval of 474515.21 tickets to 685132.79 tickets for the mean number of tickets sold of top 30 concerts.a. Determine the margin of error,
LEDs and CFLs. Light-emitting diodes (LEDs) and compact fluorescent lights (CFLs) are lightbulbs that are supposed to last up to fifty times longer than old fashioned incandescent lightbulbs and also
Long Drives. The Professional Golfer’s Association of America (PGA) organizes golf tournaments for professional golfers. The following table lists the longest drives, in yards, recorded during a
Ages of Diabetics. According to the document All About Diabetes, found on the website of the American Diabetes Association,“... diabetes is a disease in which the body does not produce or properly
Civilian Labor Force. Consider again the problem of estimating the mean age, μ, of all people in the civilian labor force. In Example 8.7 on page 367, we found that a sample size of 2250 is required
Civilian Labor Force. Consider again the problem of estimating the mean age, μ, of all people in the civilian labor force. In Example 8.7 on page 367, we found that a sample size of 2250 is required
Millionaires. Professor Thomas Stanley of Georgia State University has surveyed millionaires since 1973. Among other information, Professor Stanley obtains estimates for the mean age, μ, of all U.S.
Cereals. The Food and Agriculture Organization of the United Nations estimates the mean value of the production of cereals across the world. Those estimates are published on their website

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