The adult eastern hellbender (a type of giant salamander) has a length which is normally distributed with a mean of 30.3 cm and a standard deviation of 3 cm, while the adult Ozark hellbender has a length which is normally distributed with a mean of 33.4 and a standard deviation of 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 ? a. The IQR will be around the same for each. 0 b. The eastern hellbenders. 0 c. The Ozark hellbenders. 0 d. Either is equally likely to be larger than the other. 0

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 4CYU
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The adult eastern hellbender (a type of giant salamander) has a length which is normally distributed with a mean of 30.3 cm and a standard deviation of 3 cm, while the adult Ozark hellbender has a length which is normally distributed with a mean of 33.4 and a standard deviation of 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 ?

a. The IQR will be around the same for each. 0

b. The eastern hellbenders. 0
c. The Ozark hellbenders. 0
d. Either is equally likely to be larger than the other. 0
Expert Solution
Step 1

GivenFor eastern HellbenderMean(μ)=30.3standard deviation(σ)=3For Ozark hellbenderMean(μ)=33.4standard deviation(σ)=5sample sie(n)=100

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