STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Dr. Mury’s last chemistry test was normally distributed with a mean of 68 and a standard deviation of 12. Random samples of size 16 are drawn from the population. Find the mean of the sample means and the standard error of the sampling distribution.
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Explanation:
Detailed explanation-1: -For a variable x and a given sample size n, the distribution of the variable x̅(all possible sample means of size n) is called the sampling distribution of the mean. Note: The larger the sample size the smaller the sampling error tends to be in estimating a population mean, , by a sample mean x̅.
Detailed explanation-2: -standard deviation of the sampling distribution decreases as the size of the samples that were used to calculate the means for the sampling distribution increases.
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