Introductory Statistics (10th Edition)
Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 8, Problem 1RP

Explain the difference between a point estimate of a parameter and a confidence-interval estimate of a parameter.

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Explain the difference between the point estimate and the confidence interval estimate of a parameter.

Explanation of Solution

Confidence Interval:

The confidence interval is the interval estimate of the population parameter. It is the range where the population parameter value will lie in between.

The form of the confidence interval is as follows:

CI=Pointestimate±Marginoferror

The 95% confidence level means 95% of all the possible sample values within the confidence interval will have the population parameter value and 5% of the sample values within the confidence interval will not have the population parameter.

Point estimate:

Any statistic can be a point estimate which gives the estimated value for the parameter in the population. These estimated values are single values, which come from a set of sample data as an estimator for the population.

Difference:

The point estimate represents the single estimated value for the parameter. If the sample differs, which is for the repeated samples, the point estimate will differ and the estimated value will contradict.

Point estimate does not deal with the accuracy for the statistic to be the parameter.

Whereas a confidence interval gives the interval estimate, therefore, for the repeated samples, the estimate of the parameter will lie in the particular interval for the corresponding confidence level. Mainly, it deals with the accuracy by representing the particular confidence level.

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Chapter 8 Solutions

Introductory Statistics (10th Edition)

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. Explain in detail the...Ch. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Suppose that you will be taking a random sample...Ch. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - In each of Exercises 8.458.48, explain the effect...Ch. 8.2 - Prob. 46ECh. 8.2 - In each of Exercises 8.458.48, explain the effect...Ch. 8.2 - In each of Exercises 8.458.48, explain the effect...Ch. 8.2 - Prob. 49ECh. 8.2 - A confidence interval for a population mean has a...Ch. 8.2 - A confidence interval for a population mean has...Ch. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - Prob. 55ECh. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - Prob. 57ECh. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - Formula 8.2 on page 344 provides a method for...Ch. 8.2 - Prob. 62ECh. 8.2 - Prob. 63ECh. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - Prob. 65ECh. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Prob. 75ECh. 8.2 - Prob. 76ECh. 8.2 - Medical Marijuana. 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. The cheetah (Acinonyx...Ch. 8.2 - Prob. 103ECh. 8.2 - Prob. 104ECh. 8.2 - Prob. 105ECh. 8.2 - Prob. 106ECh. 8.2 - Toxic Mushrooms? Refer to Exercise 8.71. a....Ch. 8.3 - Why do you need to consider the studentized...Ch. 8.3 - Prob. 109ECh. 8.3 - Prob. 110ECh. 8.3 - Prob. 111ECh. 8.3 - Batting Averages. An issue of Scientific American...Ch. 8.3 - Prob. 113ECh. 8.3 - Two t-curves have degrees of freedom 12 and 20,...Ch. 8.3 - For a t-curve with df = 6, use Table IV to find...Ch. 8.3 - For a t-curve with df = 17, use Table IV to find...Ch. 8.3 - Prob. 117ECh. 8.3 - Prob. 118ECh. 8.3 - Fuel Tank Capacity. Consumer Reports provides...Ch. 8.3 - Prob. 120ECh. 8.3 - Prob. 121ECh. 8.3 - Prob. 122ECh. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - Prob. 126ECh. 8.3 - Prob. 127ECh. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Sleep. In 1908, W. S. Gosset published the article...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - In each of Exercises 8.135-8.138, use the...Ch. 8.3 - Prob. 136ECh. 8.3 - In each of Exercises 8.1358.138, use the...Ch. 8.3 - Prob. 138ECh. 8.3 - The Coruros Burrow. The subterranean coruro...Ch. 8.3 - Forearm Length. In 1903. K Pearson and A. Lee...Ch. 8.3 - Blood Cholesterol and Heart Disease. Numerous...Ch. 8.3 - Bicycle Commuting Times. A city planner working on...Ch. 8.3 - Prob. 143ECh. 8.3 - Prob. 144ECh. 8.3 - Prob. 146ECh. 8.3 - Another type of confidence interval is called a...Ch. 8.3 - Another type of confidence interval is called a...Ch. 8.3 - Prob. 149ECh. 8.3 - Christmas Spending. In a national poll of 1039...Ch. 8 - Explain the difference between a point estimate of...Ch. 8 - Answer true or false to the following statement,...Ch. 8 - Must the variable under consideration be normally...Ch. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Suppose that you intend to find a 95% confidence...Ch. 8 - A confidence interval for a population mean has a...Ch. 8 - Suppose that you plan to apply the one-mean...Ch. 8 - A variable of a population has a mean of 266 and a...Ch. 8 - Baby Weight. The paper Are Babies Normal? by T....Ch. 8 - The following figure shows the standard normal...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - For a t-curve with df = 18, obtain the t-value and...Ch. 8 - Millionaires. Dr. Thomas Stanley of Georgia Slate...Ch. 8 - Millionaires. From Problem 19, we know that a 95%...Ch. 8 - Prison Sentences. Researchers M. Dhami et al....Ch. 8 - Prison Sentences. Refer to Problem 21. a. Find the...Ch. 8 - Children of Diabetic Mothers. The paper...Ch. 8 - Diamond Pricing. In a Singapore edition of...Ch. 8 - Wildfires. Wildfires are uncontrolled fires that...Ch. 8 - Fuel Economy. The U.S. Department of Energy...Ch. 8 - Prob. 28RPCh. 8 - UWEC UNDERGRADUATES Recall from Chapter 1 (see...Ch. 8 - BANK ROBBERIES: A STATISTICAL ANALYSIS At the...
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