2. Anthropologists have discovered a prehistoric cave dwelling that contains a large number of adult human footprints. To study the size of the adults who used the cave dwelling, they randomly selected 20 of the footprints from the population of all footprints in the cave and measured the length of those footprints. Some statistics resulting from this random sample are as follows. Sample size Mean 20 Minimum 15.2 cm 24.8 cm First quartile 18.7 cm Standard deviation 7.5 cm Median 21.5 cm 30.0 cm Third quartile Мaximum 37.0 cm The anthropologists would like to construct a 95 percent confidence interval for the mean foot length of the adults who used the cave dwelling. (a) What assumptions are necessary in order for this confidence interval to be appropriate? (b) Discuss whether each of the assumptions listed in your response to (a) appears to be satisfied in this situation.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.