Sampling Distributions

# Sampling Distributions - Megan Lawless Section 3 CASE 1 1...

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Megan Lawless Section 3 CASE 1 1. In ticks.1, 4 ticks carry the disease. That’s 4/20 or 20% of the ticks. It is unlikely that a sample of only 20 ticks would have the same frequency of the disease as the entire population of 10000 ticks. The shape of this histogram is not well defined, since the range of values is so small. It is somewhat skewed to the left. The mean would seem to be between 0.1 and 0.15. This indicates that, when a sample of 20 ticks is taken, there are usually between 10% and 15% carrying the disease, although the values range from 0 to 20%. 2. 3.

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Megan Lawless Section 3 4. The shape of the graph becomes more symmetric as larger samples are used. The mean becomes easier to see with more samples. The range of values decreases as the number of samples taken increases. We began with values ranging from 0 to 20%, but the last graph had a range of 8% to 12% of ticks carrying the disease. The level of tick infestation in the entire population is probably well represented by the graph created using sample sizes of 1000 ticks.
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• Spring '08
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• Megan Lawless

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