For the data in Exercise 4.60, subtract 10 from each sample observation. For the new set...

For the data in Exercise 4.60, subtract 10 from each sample observation. For the new set of values, compute the mean and the deviations from the mean. How do these deviations compare to the deviations from the mean for the original sample? How does s2 for the new values compare to s2 for the old values? In general, what effect does subtracting (or adding) the same number to each observation have on s2 and s? Explain.

(Reference Exercise 4.60)

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. Compute the sample mean distance at which the bat first detects an insect.

b. Compute the sample variance and standard deviation for this data set. Interpret