7_Lecture7.2_SamplingDistribution_0221r_Spring11

7_Lecture7.2_SamplingDistribution_0221r_Spring11 - VII....

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1 PSY207 B Spring 2011 Psychological Statistics VII. Sampling Distribution 6.4 Learning Check 1. Define the distribution of sample means ☻☻☻☻☻ ☻☻ M 1 M 2 M 3 M 4 M 5 M 1 M 2 M 3 M 4 M 5 Population Sampling Distribution n = 1 Sampling Distribution n = 4 Sampling Distribution n = 4 The distribution of sample means is the set of sample means obtained from all the possible random samples of a specified size (n) taken from a particular population. The distribution of sample means is the set of sample means obtained from all the possible random samples of a specified size (n) taken from a particular population.
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2 2. Describe what is measured by the standard error of M. The standard error of M is the standard deviation for the distribution of sample means, and measures the standard distance (or deviation) between a sample mean M and the population mean μ . The standard error of M is the standard deviation for the distribution of sample means, and measures the standard distance (or deviation) between a sample mean M and the population mean μ . • The mean of the sampling distribution of the mean equals the mean of the population First Property: The Mean Second Property: The Standard Error • The standard error of the mean is an approximate measure of the amount by which sample means deviate from the population mean Third Property: Sample size and the Standard Error • The larger the sample size, the smaller the standard error of the mean Figure . Relationship of standard error and sample size
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7_Lecture7.2_SamplingDistribution_0221r_Spring11 - VII....

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