The length of a 13-year-old female's upper arm is approximately normally distributed with mean μ = 34.6 cm and a standard deviation of o=2.4 cm. Complete parts (a) through (c) below.
The length of a 13-year-old female's upper arm is approximately normally distributed with mean μ = 34.6 cm and a standard deviation of o=2.4 cm. Complete parts (a) through (c) below.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:The length of a 13-year-old female's upper arm is approximately normally distributed with mean μ = 34.6 cm and a standard deviation of o=2.4 cm. Complete parts (a) through (c) below.
(a) Draw a normal curve with the parameters labeled. Choose the correct graph below.
A.
O C.
A.
A
-4.8 -2.4
2.4 4.8 7.2
C.
-7.2
-X
-103.8 -69.2 -34.6 0 34.6 69.2 103.8
I
-X
B.
Q
D.
(b) Shade the region that represents the proportion of 13-year-old females whose upper arm length is less than 32 cm. The horizontal axis tick marks are the same as those in part (a). Choose the
correct graph below.
B.
I
I
D.
27.4 29.8 32.2 34.6
-X
37 39.4 41.8
-X
-101.4 -66.8 -32.2 2.4 37 71.6 106.2
-X
Transcribed Image Text:(b) Shade the region that represents the proportion of 13-year-old females whose upper arm length is less than 32 cm. The horizontal axis tick marks are the same as those in part (a). Choose the
correct graph below.
A.
-X
B.
O D.
(c) Suppose the area under the normal curve to the left of x = 30 cm is 0.0276. Provide two interpretations of this result. Select all that apply.
The proportion of 13-year-old females with an upper arm length of at most 30 cm is 0.0276.
The probability that a randomly selected 13-year-old female has an upper arm length of at most 30 cm is 0.0276.
-X
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