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: 62 23 27 56 52 34 42 40 68 45 83 a. Compute the sample mean distance at which the bat first detects an insect. b. Compute the sample variance and standard devia- tion for this data set. Interpret these values.

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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:
62 23 27 56 52 34
42
40 68 45 83
a. Compute the sample mean distance at which the
bat first detects an insect.
b. Compute the sample variance and standard devia-
tion for this data set. Interpret these values.
Transcribed Image Text: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: 62 23 27 56 52 34 42 40 68 45 83 a. Compute the sample mean distance at which the bat first detects an insect. b. Compute the sample variance and standard devia- tion for this data set. Interpret these values.
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