Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Chapter 8, Problem 5CR
State the main points of the Central Limit Theorem for a
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Chapter 8 Solutions
Applied Statistics in Business and Economics
Ch. 8.2 - Find the interval zn,+zn within which 90 percent...Ch. 8.2 - Find the interval zn,+zn within which 95 percent...Ch. 8.2 - The diameter of bushings turned out by a...Ch. 8.2 - Concerns about climate change and CO2 reduction...Ch. 8.3 - (a) Find the standard error of the mean for each...Ch. 8.3 - (a) Find the standard error of the mean for each...Ch. 8.3 - The fat content of a pouch of Keebler Right Bites...Ch. 8.3 - The fuel economy of a 2011 Lexus RX 350 2WD 6...Ch. 8.4 - Construct a confidence interval for assuming that...Ch. 8.4 - Construct a confidence interval for assuming that...
Ch. 8.4 - Use the sample information x = 2.4, = 0.15, n = 9...Ch. 8.4 - Use the sample information x = 37, = 5, n = 15 to...Ch. 8.4 - A random sample of 25 items is drawn from a...Ch. 8.4 - A random sample of 100 items is drawn from a...Ch. 8.4 - The fuel economy of a 2011 Lexus RX 350 2WD 6...Ch. 8.4 - Guest ages at a Vail Resorts ski mountain...Ch. 8.4 - The Ball Corporations beverage can manufacturing...Ch. 8.5 - Find a confidence interval for assuming that each...Ch. 8.5 - For each value of d.f. (degrees of freedom), look...Ch. 8.5 - For each value of d.f. (degrees of freedom), look...Ch. 8.5 - A random sample of 10 items is drawn from a...Ch. 8.5 - A random sample of 25 items is drawn from a...Ch. 8.5 - A sample of 21 minivan electrical warranty repairs...Ch. 8.5 - A random sample of 16 pharmacy customers showed...Ch. 8.5 - A random sample of monthly rent paid by 12 college...Ch. 8.5 - A random sample of 10 shipments of stick-on labels...Ch. 8.5 - Prof. Green gave three exams last semester. Scores...Ch. 8.6 - Calculate the standard error of the sample...Ch. 8.6 - Calculate the standard error of the sample...Ch. 8.6 - Should p be assumed normal? a. n = 200, = .02 b....Ch. 8.6 - Should p be assumed normal? a. n = 25, =.50 b. n...Ch. 8.6 - Find the margin of error for a poll, assuming that...Ch. 8.6 - A car dealer is taking a customer satisfaction...Ch. 8.6 - In a sample of 500 new websites registered on the...Ch. 8.6 - From a list of stock mutual funds, 52 funds were...Ch. 8.6 - Of 43 bank customers depositing a check, 18...Ch. 8.6 - A survey showed that 4.8 percent of the 250...Ch. 8.7 - Calculate the FPCF for each sample and population...Ch. 8.7 - Use the following informationx=50, = 15, n = 90,...Ch. 8.7 - Use the following informationx=3.7, s = 0.2, n =...Ch. 8.7 - A random survey of 500 students was conducted from...Ch. 8.8 - For each level of precision, find the required...Ch. 8.8 - Last year, a study showed that the average ATM...Ch. 8.8 - The EPA city/hwy mpg range for a Saturn Vue FWD...Ch. 8.8 - Popcorn kernels are believed to take between 100...Ch. 8.8 - Analysis showed that the mean arrival rate for...Ch. 8.8 - Noodles Company wants to estimate the mean...Ch. 8.8 - In an intra-squad swim competition, mens freestyle...Ch. 8.8 - The city fuel economy of a 2009 Toyota 4Runner 2WD...Ch. 8.9 - What sample size would be required to estimate the...Ch. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - How large a sample size would be needed to...Ch. 8.9 - Inspection of a random sample of 19 aircraft...Ch. 8.10 - Find the 95 percent confidence interval for the...Ch. 8.10 - The weights of 20 oranges (in ounces) are shown...Ch. 8.10 - A pediatricians records showed the mean height of...Ch. 8.10 - Find the 90 percent confidence interval for the...Ch. 8 - Define (a) parameter, (b) estimator, (c) sampling...Ch. 8 - Explain the difference between sampling error and...Ch. 8 - Name three estimators. Which ones are unbiased?Ch. 8 - Explain what it means to say an estimator is (a)...Ch. 8 - State the main points of the Central Limit Theorem...Ch. 8 - Why is population shape of concern when estimating...Ch. 8 - (a) Define the standard error of the mean. (b)...Ch. 8 - Define (a) point estimate, (b) margin of error,...Ch. 8 - List some common confidence levels. What happens...Ch. 8 - List differences and similarities between Students...Ch. 8 - Give an example to show that (a) for a given...Ch. 8 - Why do outliers and skewed populations pose a...Ch. 8 - (a) State the Central Limit Theorem for a...Ch. 8 - (a) Define the standard error of the proportion....Ch. 8 - When would you use the FPCF and what does it do to...Ch. 8 - Prob. 16CRCh. 8 - When calculating a sample size for a proportion,...Ch. 8 - Why would we be interested in a confidence...Ch. 8 - A random sample of 30 lunch orders at Noodles ...Ch. 8 - A random sample of 21 nickels measured with a very...Ch. 8 - A random sample of 10 miniature Tootsie Rolls was...Ch. 8 - Statistics students were asked to go home and fill...Ch. 8 - A sample of 20 pages was taken without replacement...Ch. 8 - Twenty-five blood samples were selected by taking...Ch. 8 - A sample of 20 pages was taken from a Yellow Pages...Ch. 8 - Sixteen owners of 2010 Audi A4 sedans kept track...Ch. 8 - Twenty-five blood samples were selected by taking...Ch. 8 - Twenty-one warranty repairs were selected from a...Ch. 8 - Dave the jogger runs the same route every day...Ch. 8 - A pediatricians records showed the mean height of...Ch. 8 - A random sample of 10 exam scores showed a...Ch. 8 - A random sample of 30 lunch orders at Noodles ...Ch. 8 - During the Rose Bowl, the length (in seconds) of...Ch. 8 - A sample of 40 CDs from a student’s collection...Ch. 8 - The Environmental Protection Agency (EPA) requires...Ch. 8 - In a sample of 100 Planters Mixed Nuts, 19 were...Ch. 8 - A study showed that 14 of 180 publicly traded...Ch. 8 - How decaffeinated is decaffeinated coffee? If a...Ch. 8 - Noodles Company wants to estimate the percent of...Ch. 8 - Junior Achievement and Deloitte commissioned a...Ch. 8 - A random sample of 30 cans of Del Vino crushed...Ch. 8 - A poll of 125 college students who watch The Big...Ch. 8 - A survey of 4,581 U.S. households that owned a...Ch. 8 - A teen ethics poll was commissioned by Junior...Ch. 8 - Biting an unpopped kernel of popcorn hurts! As an...Ch. 8 - A sample of 213 newspaper tire ads from several...Ch. 8 - A physicians billing office conducted a random...Ch. 8 - Of 250 college students taking a statistics class,...Ch. 8 - (a) A poll of 2,277 likely voters was conducted on...Ch. 8 - To determine the proportion of taxpayers who...Ch. 8 - A sample of 40 CDs from a student’s collection...Ch. 8 - Vail Resorts would like to send a survey to their...Ch. 8 - This is an exercise using Excel. (a) Use...
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- We are interested in whether the proportions of female suicide victims for ages 15 to 24 are the same between the white and the black races in the United States. We randomly pick one year to compare the races. The number of suicides estimated in the United States in that year for white females is 4,930. Five hundred eighty-three were aged 15 to 24. The estimate for black females is 330. Forty-one were aged 15 to 24. We will let female suicide victims be our population. (Use α = 0.05.) NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. ○ Ho: PW> PB O Ho: PW + PB Ho: Pw≤ PB Ho: PW-PB ○ Ho: Pw PB Part (c) In words, state what your random variable P'w-P'B represents. P'w-P'B represents the average difference of white and black female suicide victims, aged 15 to 24. ○ P'w-P'B…arrow_forwardplease solve this problem step by step and make it quick pleasearrow_forwardplease solve this problem step by step and make it quick pleasearrow_forward
- 8.67 Free recall memory strategy. Psychologists who study ①memory often use a measure of "free recall" (e.g., the RECALL number of correctly recalled items in a list of to-be- remembered items). The strategy used to memorize the list-for example, category clustering-is often just as important. Researchers at Central Michigan University developed an algorithm for computing measures of cat- egory clustering in Advances in Cognitive Psychology (Oct. 2012). One measure, called ratio of repetition, was recorded for a sample of 8 participants in a memory study. These ratios are listed in the table. Test the theory that the average ratio of repetition for all participants in a similar memory study differs from .5. Select an appropriate Type I error rate for your test. .25 .43 .57 .38 .38 .60 .47 .30 Source: Senkova, O., & Otani, H. "Category clustering calculator for free recall." Advances in Cognitive Psychology, Vol. 8, No. 4, Oct. 2012 (Table 3).arrow_forward8.64 Radon exposure in Egyptian tombs. Refer to the D Radiation Protection Dosimetry (Dec. 2010) study TOMBS of radon exposure in Egyptian tombs, Exercise 7.39 (p. 334). The radon levels-measured in becquerels per cubic meter (Bq/m³)-in the inner chambers of a sam- ple of 12 tombs are listed in the table. For the safety of the guards and visitors, the Egypt Tourism Authority (ETA) will temporarily close the tombs if the true mean level of radon exposure in the tombs rises to 6,000 Bq/m³. Consequently, the ETA wants to conduct a test to deter- mine if the true mean level of radon exposure in the tombs is less than 6,000 Bq/m³, using a Type I error probabil- ity of .10. A SAS analysis of the data is shown on p. 399. Specify all the elements of the test: Ho, Ha, test statistic, p-value, a, and your conclusion. 50 390 910 12100 180 580 7800 4000 3400 1300 11900 1100 N Mean Std Dev Std Err Minimum Maximum 12 3642.5 4486.9 1295.3 50.0000 12100.0arrow_forwardHow does probability help businesses make informed decisions under uncertainty? Provide an example of how businesses use probability in marketing to predict customer behavior. Why is probability considered essential in financial decision-making, particularly in portfolio management? Discuss how the use of probability in inventory management can improve customer satisfaction. Compare the role of probability in marketing and financial decision-making. How do the applications differ in their objectives?arrow_forward
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