Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 8.3, Problem 146E
To determine
To interpret: The lower and upper bounds of the confidence interval of the population mean.
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Here we will investigate the “confidence level” of each of the confidence intervals:percentile, normal, basic, and BCa. The confidence level of a confidence interval is the longrun proportion that the interval contains the parameter. So, if we took 100 samples andcomputed a 95% CI that estimates the population mean mu, the intervals should contain it95% (95 out of 100) of the time.1(a). Simulate samples X of size n=10 from an exponential distribution with rate =1/50. Run a bootstrap procedure to estimate the median. Compute the 4 CI’s mentionedabove. Repeat this 1,000 times and estimate the confidence level of each type of confidenceinterval.1(b). Are the confidence intervals below or above the confidence level of .95? Whydo you think this is? Explain.1(c). Repeat this for samples of size n=50.1(d). Did the confidence level of the intervals change with the sample size? Are theconfidence intervals below or above the confidence level of .95? Why do you think this…
A 95% confidence interval for the difference in proportions of rotted fruit between Orchard A and Orchard B is (0.03,
0.11). What does this mean?
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95% of the fruit at Orchard A and B are between 3% and 11% rotted.
We are 95% confident that the difference in the percentages of rotted fruit at these orchards is between 3 and 11
percentage points.
The percentage of rotted fruit at Orchard B is between 3 and 11 percentage points higher than Orchard A.
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Another type of confidence interval is called a one-sided confidence interval. A one-sided confidence interval provides either a lower confidence bound or an upper confidence bound for the parameter in question. You are asked to examine one-sided confidence intervals in Exercises
One-Sided One-Mean t-Intervals. Presuming that the assumptions for a one-mean t-interval are satised, we have the following formulas for (1-a)-level confidence bounds for a population mean µ:
• Lower confidence bound: x-ta s/ √n• Upper confidence bound: x + ta s/ √n
Interpret the preceding formulas for lower and upper confidence bounds in words.
Chapter 8 Solutions
Introductory Statistics (10th Edition)
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Ch. 8.1 - In each of Exercises 8.118.16, we provide a sample...Ch. 8.1 - Prob. 12ECh. 8.1 - In each of Exercises 8.118.16, we provide a sample...Ch. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Wedding Costs. According to Brides Magazine,...Ch. 8.1 - Cottonmouth Litter Size. In the article The...Ch. 8.1 - Wedding Costs. Refer to Exercise 8.17. Assume that...Ch. 8.1 - Cottonmouth Litter Size. Refer to Exercise 8.18....Ch. 8.1 - Fuel Tank Capacity. Consumer Reports provides...Ch. 8.1 - Home Improvements. The American Express Retail...Ch. 8.1 - Giant Tarantulas. A tarantula has two body parts....Ch. 8.1 - Serum Cholesterol Levels. In formation on serum...Ch. 8.1 - Prob. 25ECh. 8.1 - New Mobile Homes. Refer to Examples 8.1 and 8.2....Ch. 8.2 - Find the confidence level and for a. a 90%...Ch. 8.2 - Find the confidence level and for a. an 85%...Ch. 8.2 - What is meant by saying that a 1 confidence...Ch. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Refer to Procedure 8.1. a. 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An issue with legalization of...Ch. 8.2 - Prob. 78ECh. 8.2 - Medical Marijuana. Refer to Exercise 8.77. a....Ch. 8.2 - American Alligators. Refer to Exercise 8.78. a....Ch. 8.2 - Medical Marijuana. Refer to Exercise 8.77. a. The...Ch. 8.2 - Prob. 82ECh. 8.2 - Prob. 83ECh. 8.2 - Prob. 84ECh. 8.2 - Pulmonary Hypertension. In the paper Persistent...Ch. 8.2 - Fuel Expenditures. In estimating the mean monthly...Ch. 8.2 - Prob. 87ECh. 8.2 - Prob. 88ECh. 8.2 - Political Prisoners. In Exercise 8.73, you found a...Ch. 8.2 - Keep on Rolling. In Exercise 8.74, you found a 99%...Ch. 8.2 - Prob. 91ECh. 8.2 - Prob. 92ECh. 8.2 - Doing Time. The U.S. Department of Justice, Office...Ch. 8.2 - Doing Time. The U.S. Department of Justice, Office...Ch. 8.2 - Prob. 95ECh. 8.2 - Prob. 96ECh. 8.2 - Prob. 97ECh. 8.2 - Corporate Farms. The U.S. Census Bureau estimates...Ch. 8.2 - Body Temperature. A study by researchers at the...Ch. 8.2 - Prob. 100ECh. 8.2 - Clocking the Cheetah. 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