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Determining the Appropriate Sample Size. SAMPLE SIZE REQUIREMENT - ESTIMATING WITH KNOWN where: z = Critical value for the specified confidence interval e = Desired margin of error = Population standard deviation. Pilot Samples.
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Determining the Appropriate Sample Size SAMPLE SIZE REQUIREMENT - ESTIMATING WITH KNOWN where: z = Critical value for the specified confidence interval e = Desired margin of error = Population standard deviation
Pilot Samples A pilot sample is a smaller sample taken from the population that is used to provide an estimate for the population standard deviation.
Example of Determining Required Sample Size(Example 7-7) The manager of the Georgia Timber Mill wishes to construct a 90% confidence interval with a margin of error of 0.50 inches in estimating the mean diameter of logs. A pilot sample of 100 logs yield a sample standard deviation of 4.8 inches.
Estimating A Population Proportion SAMPLE PROPORTION where: x = Number of occurrences n = Sample size
Estimating a Population Proportion STANDARD ERROR FOR p where: =Population proportion n = Sample size
Confidence Interval Estimates for Proportions CONFIDENCE INTERVAL FOR where: p = Sample proportion n = Sample size z = Critical value from the standard normal distribution
Example of Confidence Interval for Proportion(Example 7-8) 62 out of a sample of 100 individuals who were surveyed by Quick-Lube returned within one month to have their oil changed. To find a 90% confidence interval for the true proportion of customers who actually returned: 0.70 0.54
Determining the Required Sample Size MARGIN OF ERROR FOR ESTIMATING where: = Population proportion z = Critical values from standard normal distribution n = Sample size
Determining the Required Sample Size SAMPLE SIZE FOR ESTIMATING where: = Value used to represent the population proportion e = Desired margin of error z = Critical value from the standard normal table