Exam 7: Sampling and Sampling Distributions

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The following data was collected from a simple random sample of a population. 13 15 14 16 12 The point estimate of the population mean

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The probability distribution of all possible values of the sample mean The probability distribution of all possible values of the sample mean   is is

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The sampling distribution of the sample means

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A department store has determined that 25% of all their sales are credit sales. A random sample of 60 sales is selected. a.What is the sampling distribution of A department store has determined that 25% of all their sales are credit sales. A random sample of 60 sales is selected. a.What is the sampling distribution of   ?  b.What is the probability that the sample proportion will be greater than 0.30? c.What is the probability that the sample proportion will be between 0.20 to 0.30? ? b.What is the probability that the sample proportion will be greater than 0.30? c.What is the probability that the sample proportion will be between 0.20 to 0.30?

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Stratified random sampling is a method of selecting a sample in which

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How many different samples of size 3 can be taken from a finite population of size 10?

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A simple random sample of 6 recent graduates revealed the following information about their weekly incomes. A simple random sample of 6 recent graduates revealed the following information about their weekly incomes.    a.What is the expected value of the average weekly income of all the recent graduates? b.What is the expected value of the standard deviation for the population? a.What is the expected value of the average weekly income of all the recent graduates? b.What is the expected value of the standard deviation for the population?

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The sampling error is the

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A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is

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The sample statistic, such as The sample statistic, such as   , s, or   , that provides the point estimate of the population parameter is known as , s, or The sample statistic, such as   , s, or   , that provides the point estimate of the population parameter is known as , that provides the point estimate of the population parameter is known as

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In computing the standard error of the mean, the finite population correction factor is used when

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Exhibit 7-2 A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following scores. Exhibit 7-2 A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following scores.   -Refer to Exhibit 7-2. The point estimate for the proportion of all students who passed the course is -Refer to Exhibit 7-2. The point estimate for the proportion of all students who passed the course is

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A subset of a population selected to represent the population is

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Exhibit 7-1 A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. -Refer to Exhibit 7-1. The point estimate of the mean content of the bottles is

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A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of   is is

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The expected value of the random variable The expected value of the random variable   is is

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Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. The mean and the standard deviation of the sampling distribution of the sample means are

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The average weekly earnings of bus drivers in a city are $950 (that is μ\mu ) with a standard deviation of $45 (that is σ\sigma ). Assume that we select a random sample of 81 bus drivers. a.Compute the standard error of the mean. b.What is the probability that the sample mean will be greater than $960? c.If the population of bus drivers consisted of 400 drivers, what would be the standard error of the mean?

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Random samples of size 36 are taken from an infinite population whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are

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A random sample of 15 telephone calls in an office showed the duration of each call and whether it was a local or a long distance call. A random sample of 15 telephone calls in an office showed the duration of each call and whether it was a local or a long distance call.    a.What is the point estimate for the average duration of all calls? b.What is the point estimate for the standard deviation of the population? c.What is the point estimate for the proportion of all calls that were long distance? a.What is the point estimate for the average duration of all calls? b.What is the point estimate for the standard deviation of the population? c.What is the point estimate for the proportion of all calls that were long distance?

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