An archeologist has found 19 intact specimens of a certain prehistoric artifact. Although she finds the specimens individually interesting in and of themselves, her broader research interest is in what they can tell her about the entire population of such artifacts that must once have existed within this particular prehistoric setting. As a first step she undertakes, on the basis of information contained within her sample, to estimate the mean length of such artifacts within the population. Listed below are the lengths of the 19 items in the sample, each measured to the nearest tenth of a centimeter. 17.3 18.9 17.7 23.8 16.0 22.1 18.4 18.2 13.3 26.8 18.6 24.5 22.8 13.4 18.1 14.8 20.6 17.4 16.1 a) From above preamble, estimate the sample mean length of the artifacts and explain why the average length of the sample is different from the population. b) Estimate the standard deviation of the mean for the distribution of length and explain how it influences the sampling error.
Question 1 An archeologist has found 19 intact specimens of a certain prehistoric artifact. Although she finds the specimens individually interesting in and of themselves, her broader research interest is in what they can tell her about the entire population of such artifacts that must once have existed within this particular prehistoric setting. As a first step she undertakes, on the basis of information contained within her sample, to estimate the mean length of such artifacts within the population. Listed below are the lengths of the 19 items in the sample, each measured to the nearest tenth of a centimeter. 17.3 18.9 17.7 23.8 16.0 22.1 18.4 18.2 13.3 26.8 18.6 24.5 22.8 13.4 18.1 14.8 20.6 17.4 16.1 a) From above preamble, estimate the sample mean length of the artifacts and explain why the average length of the sample is different from the population.
b) Estimate the standard deviation of the mean for the distribution of length and explain how it influences the sampling error.
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