Exam 8: Sampling Methods and the Central Limit Theorem

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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 standard error of the mean is also called sampling error.

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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 ±\pm 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?

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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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Sampling error is defined as

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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?

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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 ( 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 ) 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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