Mathematics
Lab assigment

Question Description

Show all the work and write legibly. Use proper notation and complete sentence in explanation. I really need help with this assignment since I am bad at statis

Lab assigment
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Lab assigment
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Lab assigment
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Lab assigment
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Final Answer

HI, please see the following file. All final answers are highlighted in yellow. If you have any question, please let me know :)
Attached.

SOLUTION/ANSWER:
We first have to compute for the Z-scores as follows:
𝑍=

π‘‹βˆ’πœ‡
𝜎

X1 = 0.5
X2 = 2.5
πœ‡ = 1.72
𝜎 = 0.61
𝑍1 =

𝑋1 βˆ’ πœ‡
𝜎

𝑍1 =

0.5 βˆ’ 1.72
0.61

𝑍1 = βˆ’2
𝑍2 =

𝑋2 βˆ’ πœ‡
𝜎

𝑍2 =

2.5 βˆ’ 1.72
0.61

𝑍2 = 1.279

Using a calculator, the area under the curve is A = 0.8767
This means that there is an 87.67% probability of randomly choosing an Am...

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