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Determining the Appropriate Sample Size

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

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  1. 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

  2. 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.

  3. 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.

  4. Estimating A Population Proportion SAMPLE PROPORTION where: x = Number of occurrences n = Sample size

  5. Estimating a Population Proportion STANDARD ERROR FOR p where:  =Population proportion n = Sample size

  6. Confidence Interval Estimates for Proportions CONFIDENCE INTERVAL FOR  where: p = Sample proportion n = Sample size z = Critical value from the standard normal distribution

  7. 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

  8. Determining the Required Sample Size MARGIN OF ERROR FOR ESTIMATING where:  = Population proportion z = Critical values from standard normal distribution n = Sample size

  9. 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

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