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# 4.4 - STAT 3000 Section 4.4 Sampling Distribution of the...

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STAT 3000 Section 4.4 Sampling Distribution of the Sample Mean 1

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Sampling Distributions What other distributions have we talked about? How do we describe distributions? Previously, we’ve examined data and calculated statistics. The distributions were about data. Now we’ll consider the distribution, sampling distribution, that is associated with the statistic, This distribution has a shape, center and variation and it provides probabilities for the possible values of the statistic. x 2
Why are sampling distributions important? Regulating Nicotine in Cigarettes The conditions prescribed in the FTC's 1967 announcement are the following: 1. Smoke cigarettes to a 23mm butt length, or to the length of the filter and overwrap plus 3mm if in excess of 23mm. 2. Base results on a test of 100 cigarettes per brand, or type 3. Cigarettes to be tested will be selected on a random basis, as opposed to "weight selection" Report nicotine yield to the nearest 1/10 milligram. Tar yield and CO concentration are also reported. 3

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If one cigarette had been tested, and the population was normal, we could find the probability that the nicotine content of that cigarette was more than 1.72 milligrams (the yield in 1998). Note, however, that 100 cigarettes are tested.
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4.4 - STAT 3000 Section 4.4 Sampling Distribution of the...

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