Essentials Of Statistics For Business & Economics
9th Edition
ISBN: 9780357045435
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Textbook Question
Chapter 9.7, Problem 46E
Consider the following hypothesis test.
The
- a. If the population mean is 9, what is the
probability that the sample mean leads to the conclusion do not reject H0? - b. What type of error would be made if the actual population mean is 9 and we conclude that H0: μ ≥ 10 is true?
- c. What is the probability of making a Type II error if the actual population mean is 8?
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A hypothesis test was conducted, at α = 0.05, to determine whether a certain chemical compound lasts longer than 30 seconds under a certain specified condition.
The hypotheses used were:
H0: µ = 30
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A sample mean of 37.4 seconds was obtained from a sample of size n = 80. All statistical assumptions were met, and a p-value of p = 0.0089 was obtained.
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Chapter 9 Solutions
Essentials Of Statistics For Business & Economics
Ch. 9.1 - 1. The manager of the Danvers-Hilton Resort Hotel...Ch. 9.1 - 2. The manager of an automobile dealership is...Ch. 9.1 - A production line operation is designed to fill...Ch. 9.1 - Because of high production-changeover time and...Ch. 9.2 - Beer and Cider Consumption. According to the...Ch. 9.2 - 6. The label on a 3-quart container of orange...Ch. 9.2 - Carpet Salesperson Salaries. Carpetland...Ch. 9.2 - 8. Suppose a new production method will be...Ch. 9.3 - Consider the following hypothesis test: H0:20Ha:20...Ch. 9.3 - Consider the following hypothesis test:
A sample...
Ch. 9.3 - Consider the following hypothesis test:
A sample...Ch. 9.3 - Consider the following hypothesis test:
A sample...Ch. 9.3 - Consider the following hypothesis test: H0:50Ha:50...Ch. 9.3 - Prob. 14ECh. 9.3 - Federal Tax Returns. According to the IRS,...Ch. 9.3 - Credit Card Use by Undergraduates. In a study...Ch. 9.3 - Use of Texting. TextRequest reports that adults...Ch. 9.3 - CPA Work Hours. The American Institute of...Ch. 9.3 - Length of Calls to the IRS. According to the IRS,...Ch. 9.3 - Prescription Drug Costs. Annual expenditure for...Ch. 9.3 - Cost of Telephone Surveys. Fowle Marketing...Ch. 9.3 - Time in Supermarket Checkout Lines. CCN and...Ch. 9.4 - Consider the following hypothesis test: H0:12Ha:12...Ch. 9.4 - Consider the following hypothesis test:
A sample...Ch. 9.4 - Consider the following hypothesis test: H0:45Ha:45...Ch. 9.4 - Consider the following hypothesis test:
A sample...Ch. 9.4 - Price of Good Red Wine. According to the Vivino...Ch. 9.4 - CEO Tenure. A shareholders’ group, in lodging a...Ch. 9.4 - Cost of Residential Water. On its municipal...Ch. 9.4 - Prob. 30ECh. 9.4 - Chocolate Consumption. The United States ranks...Ch. 9.4 - Used Car Prices. According to the National...Ch. 9.4 - Automobile Insurance Premiums. The Onsure.com...Ch. 9.4 - Prob. 34ECh. 9.5 - Consider the following hypothesis test:...Ch. 9.5 - Consider the following hypothesis test:
A sample...Ch. 9.5 - Union Membership. The U.S. Bureau of Labor...Ch. 9.5 - Attitudes toward Supermarket Brands. A study by...Ch. 9.5 - Population Mobility. What percentage of the...Ch. 9.5 - Holiday Gifts from Employers. Last year, 46% of...Ch. 9.5 - Adequate Preparation for Retirement. In 2018, RAND...Ch. 9.5 - Returned Merchandise. According to the University...Ch. 9.5 - Coupon Usage. Eagle Outfitters is a chain of...Ch. 9.5 - Malpractice Suits. One of the reasons health care...Ch. 9.5 - Bullish, Neutral, or Bearish. The American...Ch. 9.7 - Consider the following hypothesis test. H0:10Ha:10...Ch. 9.7 - Consider the following hypothesis test.
A sample...Ch. 9.7 - Prob. 48ECh. 9.7 - Miles per Gallon. A consumer research group is...Ch. 9.7 - Age of Magazine Subscribers. Young Adult magazine...Ch. 9.7 - Length of Telephone Surveys. Refer to exercise 48....Ch. 9.7 - Employee Participation in Investment Plans. Sparr...Ch. 9.8 - Consider the following hypothesis test. H0:10Ha:10...Ch. 9.8 - Consider the following hypothesis test....Ch. 9.8 - Underfilling Packages of Coffee. Suppose the...Ch. 9.8 - Battery Life. A special industrial battery must...Ch. 9.8 - Mean Age of Magazine Subscribers. Young Adult...Ch. 9.8 - Automobile Mileage. An automobile mileage study...Ch. 9.9 - Governmental Use of email. The Federal Government...Ch. 9.9 - CEOs and Social Networks. CEOs who belong to a...Ch. 9.9 - French Fry Purchases. The American Potato Growers...Ch. 9.9 - Prob. 63ECh. 9 - Production Line Fill Weights. A production line...Ch. 9 - Scholarship Examination Scores. At Western...Ch. 9 - Exposure to Background Television. CNN reports...Ch. 9 - Starting Salaries for Business Graduates. Michigan...Ch. 9 - British Men’s Age at Marriage. Data from the...Ch. 9 - Wages of Workers Without High School Diploma....Ch. 9 - Residential Property Values. The chamber of...Ch. 9 - Length of Time to Sell a Home. According to the...Ch. 9 - Sleeping on Flights. According to Expedia, 52% of...Ch. 9 - Using Laptops on Flights. An airline promotion to...Ch. 9 - Millennial Dependency on Parents. Members of the...Ch. 9 - Using Social Media in a Job Search. According to...Ch. 9 - Hotel Availability Over Holiday Weekend. A radio...Ch. 9 - Vegetarianism in the United States. Vegetarians...Ch. 9 - Construction Worker Idle Time. Shorney...Ch. 9 - Federal Funding for Neighborhood Projects. A...Ch. 9 - Soap Production Process. H0: m = 120 and Ha: μ ≠...Ch. 9 - Time Spent Channel Surfing. According to...Ch. 9 - Potato Chip Quality Control. NDC Technology’s...Ch. 9 - TSA Security Line Wait Times. According to the...Ch. 9 - Quality Associates, Inc. Quality Associates, Inc.,...Ch. 9 - Case problem 2 Ethical Behavior of Business...
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- The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses. H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…arrow_forward1. For a and b, conduct every step of the Hypothesis testing process (1-5). The distribution of SAT scores is normal with M = 500, with a standard deviation alpha = 100. Mable believes that she scored significantly higher than average, at x = 643. Did Mable scores significantly higher than the average SAT score? A sample of n = 30 adults is taken from the above population and their average SAT score is measured to be M = 507. Does this sample differ from the population?arrow_forwardA researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%arrow_forward
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