Question

Scientists known as anthropologists have discovered a prehistoric cave that contains a large number of adult human footprints. To study the size of the adults who used the cave, they randomly selected 25 of the footprints from the population of all footprints in the cave and measured the length (cm) of those footprints. Some statistics resulting from the random sample are as follows:

Statistic	Value
n	25
Mean	26.1 cm
Standard Deviation	8.2 cm
Minimum	17.9 cm
Q1	21.7 cm
Median	23.4 cm
Q3	33.3 cm
Maximum	39.6 cm

The anthropologists would like to construct a 95 percent confidence interval from the mean foot length of the adults who used the cave dwelling.

4) What assumptions are necessary in order for this confidence interval to be appropriate and which assumptions, if any, are violated and why? Construct and interpret the 95% confidence interval for the mean foot length of adults who used the cave.

Answer 1

PAGE NO.: DATE: S Sn = (1 + $24,0.025 i ( 22 227151 29-4850) Thus, the 95%. for the mean tot length (22.7151 29,4850) M Population mean of footprint is lie between 22-7158 and 29.2850. ms Canli dente interal length of adult rs TCs Scanned with CamScanner