Exam 8: Sampling Methods and the Central Limit Theorem
Exam 1: What Is Statistics79 Questions
Exam 2: Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation129 Questions
Exam 3: Describing Data: Numerical Measures132 Questions
Exam 4: Describing Data: Displaying and Exploring Data108 Questions
Exam 5: A Survey of Probability Concepts130 Questions
Exam 6: Discrete Probability Distributions128 Questions
Exam 7: Continuous Probability Distributions131 Questions
Exam 8: Sampling Methods and the Central Limit Theorem115 Questions
Exam 9: Estimation and Confidence Intervals129 Questions
Exam 10: One-Sample Tests of Hypothesis134 Questions
Exam 11: Two-Sample Tests of Hypothesis130 Questions
Exam 12: Analysis of Variance128 Questions
Exam 13: Correlation and Linear Regression130 Questions
Exam 14: Multiple Regression Analysis129 Questions
Exam 15: Index Numbers129 Questions
Exam 16: Time Series and Forecasting129 Questions
Exam 17: Nonparametric Methods: Goodness-Of-Fit Tests129 Questions
Exam 18: Nonparametric Methods: Analysis of Ranked Data129 Questions
Exam 19: Statistical Process Control and Quality Management129 Questions
Exam 20: An Introduction to Decision Theory115 Questions
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For a population that is not normally distributed, the distribution of the sample means will
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As the sample size (n) increases, what happens to the spread or dispersion of the distribution of the sample means? ___________
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We can expect some difference between sample statistics and the corresponding population parameters. This difference is called the sampling error.
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In cluster sampling, a population is divided into subgroups called clusters and a sample is randomly selected from each cluster.
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The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the mean. He selects a random sample of 49 trucks passing the weighing station and finds the mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons. What is probability that a truck will weigh less than 14.3 tons?
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Sampling from a population may be preferred because studying all the items in a population may be too ____________.
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A population consists of the following four values: 8, 10, 12, and 16. From this population, there are 6 different samples of size 2. The means of the 6 samples of size 2 are: 9, 10, 12, 11, 13, and 14. Compute the mean of the distribution of the sample means and the population mean. What is true about the two values?
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An accounting firm is planning for the next tax preparation season. From last year's returns, the firm collects a systematic random sample of 100 filings. The 100 filings showed an average preparation time of 90 minutes with a standard deviation of 140 minutes. What is the probability that the mean completion time is between 1 and 2 hours, i.e., 60 and 120 minutes?
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The standard error of the mean measures the dispersion of the sampling distribution of the sample mean.
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A university has 1000 computers available for students to use. Each computer has a 250 gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the probability that a sample mean is greater than 120 gigabytes?
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Sampling error is the difference between a corresponding sample statistic and the
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For a sampling distribution of the means, what percent of the means would be between 2.576 standard deviations? ________________________
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LongLast Inc. produces car batteries. The mean life of these batteries is 60 months. The distribution of the battery life closely follows the normal probability distribution with a standard deviation of 8 months. As part of its testing program, LongLast tests a sample of 25 batteries. What is the standard error of the mean?
(Short Answer)
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Which sampling method would be best to use if the population can be divided into homogeneous subgroups? ______________________
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A university has 1000 computers available for students to use. Each computer has a 250 gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the probability that a sample mean is between 111 and 119 gigabytes?
(Short Answer)
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Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. You bought four tires. What is the probability that the average mileage of the four tires exceeds 66,000 miles?
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For a given population, the mean of all the sample means (
) of sample size n, and the mean of all (N) population observations (x) are

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What is the name of the standard deviation of the sampling distribution of the sample means called? ______________________
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