Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6.10, Problem 8E
For the given table of observed values,
- a. Construct the corresponding table of
expected values. - b. If appropriate, perform the chi-square test for the null hypothesis that the row and column outcomes are independent. If not appropriate, explain why.
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Suppose you are gambling on a roulette wheel. Each time the wheel is spun, the result is one of the outcomes 0, 1, and so on through 36. Of these outcomes, 18 are red, 18 are black, and 1 is green. On each spin you bet $5 that a red outcome will occur and $1 that the green outcome will occur. If red occurs, you win a net $4. (You win $10 from red and nothing from green.) If green occurs, you win a net $24. (You win $30 from green and nothing from red.) If black occurs, you lose everything you bet for a loss of $6.
a. Use simulation to generate 1,000 plays from this strategy. Each play should indicate the net amount won or lost. Then, based on these outcomes, calculate a 95% confidence interval for the total net amount won or lost from 1,000 plays of the game. (Round your answers to two decimal places and if your answer is negative value, enter "minus" sign.) I worked out the Upper Limit, but I can't seem to arrive at the correct answer for the Lower Limit. What is the Lower Limit?…
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 0. What level of type II error would you recommend here?
=
Round your answer to four decimal places (e.g. 98.7654). Use α = 0.05.
β
= 0.0594
What sample size would be required?
Assume the sample sizes are to be…
Consider the hypothesis test Ho: 0
s² =
=
4.5; s² = 2.3. Use a
= 0.01.
=
σ against H₁: 6 > σ2. Suppose that the sample sizes are n₁ =
20 and 2
= 8, and that
(a) Test the hypothesis.
Round your answers to two decimal places (e.g. 98.76).
The test statistic is fo
=
1.96
The critical value is f
=
6.18
Conclusion:
fail to reject
the null hypothesis at a = 0.01.
(b) Construct the confidence interval on 02/2/622 which can be used to test the hypothesis:
(Round your answer to two decimal places (e.g. 98.76).)
035
Chapter 6 Solutions
Statistics for Engineers and Scientists
Ch. 6.1 - In an experiment to measure the lifetimes of parts...Ch. 6.1 - A simple random sample consists of 65 lengths of...Ch. 6.1 - The article Supply Voltage Quality in Low-Voltage...Ch. 6.1 - The pH of an acid solution used to etch aluminum...Ch. 6.1 - Recently many companies have been experimenting...Ch. 6.1 - A certain type of stainless steel powder is...Ch. 6.1 - When it is operating properly, a chemical plant...Ch. 6.1 - Lasers can provide highly accurate measurements of...Ch. 6.1 - The article Predicting Profit Performance for...Ch. 6.1 - A new concrete mix is being designed to provide...
Ch. 6.1 - Fill in the blank: If the null hypothesis is H0: ...Ch. 6.1 - Fill in the blank: In a test of H0: 10 versus...Ch. 6.1 - An engineer takes a large number of independent...Ch. 6.1 - The following MINITAB output presents the results...Ch. 6.1 - The following MINITAB output presents the results...Ch. 6.2 - For which P-value is the null hypothesis more...Ch. 6.2 - Prob. 2ECh. 6.2 - If P = 0.01, which is the best conclusion? i. H0...Ch. 6.2 - If P = 0.50, which is the best conclusion? i. H0...Ch. 6.2 - True or false: If P = 0.02, then a. The result is...Ch. 6.2 - George performed a hypothesis test. Luis checked...Ch. 6.2 - The article The Effect of Restricting Opening...Ch. 6.2 - Let be the radiation level to which a radiation...Ch. 6.2 - In each of the following situations, state the...Ch. 6.2 - The installation of a radon abatement device is...Ch. 6.2 - It is desired to check the calibration of a scale...Ch. 6.2 - A machine that fills cereal boxes is supposed to...Ch. 6.2 - A method of applying zinc plating to steel is...Ch. 6.2 - Fill in the blank: A 95% confidence interval for...Ch. 6.2 - Refer to Exercise 14. For which null hypothesis...Ch. 6.2 - A scientist computes a 90% confidence interval to...Ch. 6.2 - The strength of a certain type of rubber is tested...Ch. 6.2 - A shipment of fibers is not acceptable if the mean...Ch. 6.2 - Refer to Exercise 17. It is discovered that the...Ch. 6.2 - Refer to Exercise 18. It is discovered that the...Ch. 6.2 - The following MINITAB output (first shown in...Ch. 6.3 - Integrated circuits consist of electric channels...Ch. 6.3 - The article HIV-positive Smokers Considering...Ch. 6.3 - Do bathroom scales tend to underestimate a persons...Ch. 6.3 - The article Evaluation of Criteria for Setting...Ch. 6.3 - In a survey of 500 residents in a certain town,...Ch. 6.3 - Prob. 6ECh. 6.3 - In a sample of 150 households in a certain city,...Ch. 6.3 - Prob. 8ECh. 6.3 - Let A and B represent two variants (alleles) of...Ch. 6.3 - Prob. 10ECh. 6.3 - Refer to Exercise 2 in Section 5.2. Can it be...Ch. 6.3 - The following MINITAB output presents the results...Ch. 6.3 - Prob. 13ECh. 6.4 - Each of the following hypothetical data sets...Ch. 6.4 - A geologist is making repeated measurements (in...Ch. 6.4 - A new centrifugal pump is being considered for an...Ch. 6.4 - A certain manufactured product is supposed to...Ch. 6.4 - The article Influence of Penetration Rate on...Ch. 6.4 - A new process for producing a type of novolac...Ch. 6.4 - Specifications call for the wall thickness of...Ch. 6.4 - As part of the quality-control program for a...Ch. 6.4 - The article Approximate Methods for Estimating...Ch. 6.4 - Refer to Exercise 12 in Section 5.3. Can you...Ch. 6.4 - Refer to Exercise 13 in Section 5.3. Can you...Ch. 6.4 - The following MINITAB output presents the results...Ch. 6.4 - The following MINITAB output presents the results...Ch. 6.5 - The article Capillary Leak Syndrome in Children...Ch. 6.5 - The article Some Parameters of the Population...Ch. 6.5 - The article Measurement of Complex Permittivity of...Ch. 6.5 - The article Wired: Energy Drinks, Jock Identity,...Ch. 6.5 - In a test to compare the effectiveness of two...Ch. 6.5 - Prob. 6ECh. 6.5 - A statistics instructor who teaches a lecture...Ch. 6.5 - Fifty specimens of a new computer chip were tested...Ch. 6.5 - Are low-fat diets or low-carb diets more effective...Ch. 6.5 - In a certain supermarket, a sample of 60 customers...Ch. 6.5 - The National Opinion Research Center polled a...Ch. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6.6 - Two extrusion machines that manufacture steel rods...Ch. 6.6 - Resistors labeled as 100 are purchased from two...Ch. 6.6 - The article A Music Key Detection Method Based on...Ch. 6.6 - Prob. 4ECh. 6.6 - The article HIV-positive Smokers Considering...Ch. 6.6 - Prob. 6ECh. 6.6 - To test the effectiveness of protective packaging,...Ch. 6.6 - Prob. 8ECh. 6.6 - The article Factors Associated with Exercise...Ch. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - In a study conducted by the U.S. Department of...Ch. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.7 - A crayon manufacturer is comparing the effects of...Ch. 6.7 - In a study of the relationship of the shape of a...Ch. 6.7 - The article Influence of Penetration Rate on...Ch. 6.7 - The article Time Series Analysis for Construction...Ch. 6.7 - The Mastic tree (Pistacia lentiscus) is used in...Ch. 6.7 - Two weights, each labeled as weighing 100 g, are...Ch. 6.7 - It is thought that a new process for producing a...Ch. 6.7 - The article Effects of Aerosol Species on...Ch. 6.7 - The article Wind-Uplift Capacity of Residential...Ch. 6.7 - The article Magma Interaction Processes Inferred...Ch. 6.7 - The article Structural Performance of Rounded...Ch. 6.7 - The article Variance Reduction Techniques:...Ch. 6.7 - In an experiment to test the effectiveness of a...Ch. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Prob. 16ECh. 6.7 - The following MINITAB output presents the results...Ch. 6.8 - The article Improved Bioequivalence Assessment of...Ch. 6.8 - The article Estimation of Mean Arterial Pressure...Ch. 6.8 - Prob. 3ECh. 6.8 - Prob. 4ECh. 6.8 - Prob. 5ECh. 6.8 - Prob. 6ECh. 6.8 - Prob. 7ECh. 6.8 - The article Effect of Granular Subbase Thickness...Ch. 6.8 - A crossover trial is a type of experiment used to...Ch. 6.8 - Prob. 10ECh. 6.8 - Prob. 11ECh. 6.8 - Prob. 12ECh. 6.8 - Prob. 13ECh. 6.9 - The article Wastewater Treatment Sludge as a Raw...Ch. 6.9 - Prob. 2ECh. 6.9 - The article Reaction Modeling and Optimization...Ch. 6.9 - Prob. 4ECh. 6.9 - Prob. 5ECh. 6.9 - Prob. 6ECh. 6.9 - A new postsurgical treatment is being compared...Ch. 6.9 - Prob. 8ECh. 6.9 - In a comparison of the effectiveness of distance...Ch. 6.9 - Prob. 10ECh. 6.10 - Fasteners are manufactured for an application...Ch. 6.10 - At an assembly plant for light trucks, routine...Ch. 6.10 - Prob. 3ECh. 6.10 - Prob. 4ECh. 6.10 - The article Chronic Beryllium Disease and...Ch. 6.10 - The article The Effectiveness of Child Restraint...Ch. 6.10 - For the given table of observed values,...Ch. 6.10 - For the given table of observed values, a....Ch. 6.10 - Fill in the blank: For observed and expected...Ch. 6.10 - Because of printer failure, none of the observed...Ch. 6.10 - Plates are evaluated according to their surface...Ch. 6.10 - The article Determination of Carboxyhemoglobin...Ch. 6.10 - Prob. 13ECh. 6.10 - Prob. 14ECh. 6.11 - A random sample of size 11 from a normal...Ch. 6.11 - A random sample of size 29 from a normal...Ch. 6.11 - Scores on an IQ test are normally distributed. A...Ch. 6.11 - A machine that fills beverage cans is supposed to...Ch. 6.11 - A sample of 25 one-year-old girls had a mean...Ch. 6.11 - Prob. 6ECh. 6.11 - Scores on the math SAT are normally distributed. A...Ch. 6.11 - One of the ways in which doctors try to determine...Ch. 6.11 - Prob. 9ECh. 6.11 - Find the upper 1% point of F2,5.Ch. 6.11 - Prob. 11ECh. 6.11 - A broth used to manufacture a pharmaceutical...Ch. 6.11 - Refer to Exercise 11 in Section 5.6. Can you...Ch. 6.11 - Prob. 14ECh. 6.12 - A hypothesis test is performed, and the P-value is...Ch. 6.12 - A process for a certain type of ore is designed to...Ch. 6.12 - A new braking system is being evaluated for a...Ch. 6.12 - A test is made of the hypotheses H0: 10 versus...Ch. 6.12 - A vendor claims that no more than 10% of the parts...Ch. 6.12 - Prob. 6ECh. 6.12 - A new process is being considered for the...Ch. 6.13 - A test has power 0.90 when = 15. True or false:...Ch. 6.13 - A test has power 0.80 when = 3.5. True or false:...Ch. 6.13 - If the sample size remains the same, and the level...Ch. 6.13 - If the level remains the same, and the sample...Ch. 6.13 - A tire company claims that the lifetimes of its...Ch. 6.13 - A copper smelting process is supposed to reduce...Ch. 6.13 - Prob. 7ECh. 6.13 - A new process for producing silicon wafers for...Ch. 6.13 - Prob. 9ECh. 6.13 - Prob. 10ECh. 6.13 - Prob. 11ECh. 6.14 - An agricultural scientist tests six types of...Ch. 6.14 - Prob. 2ECh. 6.14 - Six different settings are tried on a machine to...Ch. 6.14 - Prob. 4ECh. 6.14 - Twenty formulations of a coating are being tested...Ch. 6.14 - Prob. 6ECh. 6.14 - Each day for 200 days, a quality engineer samples...Ch. 6 - Exercises 1 to 4 describe experiments that require...Ch. 6 - Exercises 1 to 4 describe experiments that require...Ch. 6 - Exercises 1 to 4 describe experiments that require...Ch. 6 - Exercises 1 to 4 describe experiments that require...Ch. 6 - Suppose you have purchased a filling machine for...Ch. 6 - Prob. 6SECh. 6 - Prob. 7SECh. 6 - Twenty-one independent measurements were taken of...Ch. 6 - There is concern that increased industrialization...Ch. 6 - Prob. 10SECh. 6 - A machine that grinds valves is set to produce...Ch. 6 - Resistors for use in a certain application are...Ch. 6 - A machine manufactures bolts that are supposed to...Ch. 6 - Electric motors are assembled on four different...Ch. 6 - Refer to Exercise 14. The process engineer notices...Ch. 6 - Consider the following two samples:...Ch. 6 - Prob. 17SECh. 6 - Prob. 18SECh. 6 - Two different chemical formulations of rocket fuel...Ch. 6 - Prob. 20SECh. 6 - Prob. 21SECh. 6 - The article Valuing Watershed Quality Improvements...Ch. 6 - Anthropologists can estimate the birthrate of an...Ch. 6 - Prob. 24SE
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