5. The fully-grown green iguana is about 14.2 inches in length on average, with a standard deviation of about 1.1 inches. About 68.27% of fully-grown green iguanas are between15.3. and 13.1 inches in length. About 95.45% of fully-grown green iguanas are between 16.4 and 12 inches in length. - About 99.73% of fully-grown green iguanas are between_17.5 _and 10.9 _inches in length. What is the z-score (or standardized score) for an iguana that is 16.5 inches long? How many standard deviations (and in what direction) is this 16.5 inch iguana from the mean? What is the z-score (or standardized score) for an iguana that is 9 inches long? How many standard deviatians (and in what direction) is this 9 inch iguana from the mean?

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 1GP
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5. The fully-grown green iguana is about 14.2 inches in length on average, with a
standard deviation of about 1.1 inches.
About 68.27% of fully-grown green iguanas are between
15.3
and
13.1
inches in length.
About 95.45% of fully-grown green iguanas are between
16.4
and
12
inches in length.
About 99.73% of fully-grown green iguanas are between_17.5_
and
10.9
inches in length.
What is the Z-Score (or standardized score) for an iguana that is 16.5 inches long?
How many standard deviations (and in what direction) is this 16.5 inch iguana
from the mean?
What is the z-score (or standardized score) for an iguana that is 9 inches long?
How many standard deviatians (and in what direction) is this 9 inch iguana from
the mean?
D, Focus
> I>
Transcribed Image Text:Normal No Spacing Heading 1 Editing Dictate Styles Voice Sens 5. The fully-grown green iguana is about 14.2 inches in length on average, with a standard deviation of about 1.1 inches. About 68.27% of fully-grown green iguanas are between 15.3 and 13.1 inches in length. About 95.45% of fully-grown green iguanas are between 16.4 and 12 inches in length. About 99.73% of fully-grown green iguanas are between_17.5_ and 10.9 inches in length. What is the Z-Score (or standardized score) for an iguana that is 16.5 inches long? How many standard deviations (and in what direction) is this 16.5 inch iguana from the mean? What is the z-score (or standardized score) for an iguana that is 9 inches long? How many standard deviatians (and in what direction) is this 9 inch iguana from the mean? D, Focus > I>
Expert Solution
Step 1

Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.

Thus, the z-score of that random variable X is z = (Xµ)/σ.

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