A scientist believes that the length of a newly discovered species of fish can be assumed to follow a normal distribution with a mean of 16.3 inches. If their belief is correct, which of the following length ranges will have the largest proportion of this species of fish? Select one: O a. 19.3 to 21.3 inches O b. It is impossible to say without the standard deviation. Oc. 17.3 to 19.3 inches O d. 15.3 to 17.3 inches O e. 13.3 to 15.3 inches

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A scientist believes that the length of a newly discovered species of fish can be assumed to follow a
normal distribution with a mean of 16.3 inches. If their belief is correct, which of the following length
ranges will have the largest proportion of this species of fish?
Select one:
O a. 19.3 to 21.3 inches
Ob. It is impossible to say without the standard deviation.
O c. 17.3 to 19.3 inches
O d. 15.3 to 17.3 inches
Oe. 13.3 to 15.3 inches
Adult Great Basin rattlesnakes have a mean length of 32.9 inches and a standard deviation of 7.1
inches; the length of adult Southern Pacific rattlesnakes is also 32.9 inches on average, but with a
standard deviation of 10.65 inches. Both species have lengths that follow a normal distribution.
You randomly select one Great Basin rattlesnake and one Southern Pacific rattlesnake. Which is more
likely be longer than 36.45 inches?
Select one:
O a. Not enough information is provided; it depends.
Ob. The Southern Pacific rattlesnake.
Oc. Both are equally likely to be more than 36.4 inches long
O d. The Great Basin rattlesnake.
Transcribed Image Text:A scientist believes that the length of a newly discovered species of fish can be assumed to follow a normal distribution with a mean of 16.3 inches. If their belief is correct, which of the following length ranges will have the largest proportion of this species of fish? Select one: O a. 19.3 to 21.3 inches Ob. It is impossible to say without the standard deviation. O c. 17.3 to 19.3 inches O d. 15.3 to 17.3 inches Oe. 13.3 to 15.3 inches Adult Great Basin rattlesnakes have a mean length of 32.9 inches and a standard deviation of 7.1 inches; the length of adult Southern Pacific rattlesnakes is also 32.9 inches on average, but with a standard deviation of 10.65 inches. Both species have lengths that follow a normal distribution. You randomly select one Great Basin rattlesnake and one Southern Pacific rattlesnake. Which is more likely be longer than 36.45 inches? Select one: O a. Not enough information is provided; it depends. Ob. The Southern Pacific rattlesnake. Oc. Both are equally likely to be more than 36.4 inches long O d. The Great Basin rattlesnake.
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