Concept explainers
For the data of Exercise 4.64, multiply each data value by 10. How does s for the new values compare to s for the original values? More generally, what happens to s if each observation is multiplied by the same positive constant c?
4.64 Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds and listening for echoes. A paper appearing in Animal Behaviour (“The Echolocation of Flying Insects by Bats” [1960]: 141–154) gave the following distances (in centimeters) at which a bat first detected a nearby insect:
- a. Calculate the sample mean distance at which the bat first detects an insect.
- b. Calculate the sample variance and standard deviation for this data set. Interpret these values.
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Introduction To Statistics And Data Analysis
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