Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
8th Edition
ISBN: 9781337114172
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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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 theprobability 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
Ha: µ > 30
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.
Which of the following is correct?
a) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds from a sample of size n = 80 would be only .0089.
b) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or less) from a sample of size n = 80 would be only .0089.
c) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from…
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 104.3 89.6 89.9 95.6 95.2 90.0 98.8 103.7 98.3 106.4 102.0 91.1
a)Does this data suggest that the population mean reading under these conditions differs from 100? State and test the appropriate hypotheses using =.05.
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Assume we wanted to show that the true proportion of virginica iris seeds that fail to germinate is less than 20%. Let's say we tested at an alpha of 0.05, and found a p-vale of 0.082. Which of the following would be an appropriate conclusion and interpretation?
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Chapter 9 Solutions
Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
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 - Prob. 5ECh. 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 - Prob. 15ECh. 9.3 - Credit Card Use by Undergraduates. In a study...Ch. 9.3 - 17. The mean hourly wage for employees in...Ch. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 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 - Prob. 27ECh. 9.4 - CEO Tenure. A shareholders’ group, in lodging a...Ch. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - 33. The mean annual premium for automobile...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 - Prob. 37ECh. 9.5 - Attitudes toward Supermarket Brands. A study by...Ch. 9.5 - Prob. 39ECh. 9.5 - Holiday Gifts from Employers. Last year, 46% of...Ch. 9.5 - 41. Ten years ago 53% of American families owned...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 - Prob. 45ECh. 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 - Production Line Fill Weights. A production line...Ch. 9 - Scholarship Examination Scores. At Western...Ch. 9 - Prob. 62SECh. 9 - Prob. 63SECh. 9 - Prob. 64SECh. 9 - Prob. 65SECh. 9 - Residential Property Values. The chamber of...Ch. 9 - Prob. 67SECh. 9 - Prob. 68SECh. 9 - Using Laptops on Flights. An airline promotion to...Ch. 9 - Millennial Dependency on Parents. Members of the...Ch. 9 - Prob. 71SECh. 9 - Hotel Availability Over Holiday Weekend. A radio...Ch. 9 - Prob. 73SECh. 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 - 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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