The adult eastern hellbender (a type of giant salamander) has a length which is normally distributed with a mean of 31.8 cm and a standard deviation of 2.7 cm, while the adult Ozark hellbender has a length which is normally distributed with a mean of 34.9 and a standard deviation of 4.5.

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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The adult eastern hellbender (a type of giant salamander) has a length which is normally distributed with a mean of 31.8 cm and a standard deviation
of 2.7 cm, while the adult Ozark hellbender has a length which is normally distributed with a mean of 34.9 and a standard deviation of 4.5.
Random samples of a size 100 are selected of each species of hellbender. The box plots are created for each dataset. Which box plot will most likely
have the larger interquartile range?
O a. The IQR will be around the same for each. 0.
O b. Either is equally likely to be larger than the other. 0
O c. The Ozark hellbenders. 0
O d. The eastern hellbenders. 0
Transcribed Image Text:The adult eastern hellbender (a type of giant salamander) has a length which is normally distributed with a mean of 31.8 cm and a standard deviation of 2.7 cm, while the adult Ozark hellbender has a length which is normally distributed with a mean of 34.9 and a standard deviation of 4.5. Random samples of a size 100 are selected of each species of hellbender. The box plots are created for each dataset. Which box plot will most likely have the larger interquartile range? O a. The IQR will be around the same for each. 0. O b. Either is equally likely to be larger than the other. 0 O c. The Ozark hellbenders. 0 O d. The eastern hellbenders. 0
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