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Stat 6

The document calculates Z-scores for various values (112, 109, 56, 88, 135) using the formula Z = (X - x) / σ, where x is the mean (100) and σ is the standard deviation (16). The calculated Z-scores are 0.75, 0.56, -2.75, -0.75, and 2.18 respectively. Additionally, a table of Z-scores and their corresponding probabilities is provided.

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King Daniel Azurin
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21 views1 page

Stat 6

The document calculates Z-scores for various values (112, 109, 56, 88, 135) using the formula Z = (X - x) / σ, where x is the mean (100) and σ is the standard deviation (16). The calculated Z-scores are 0.75, 0.56, -2.75, -0.75, and 2.18 respectively. Additionally, a table of Z-scores and their corresponding probabilities is provided.

Uploaded by

King Daniel Azurin
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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1.

 112
Z= X-x/σ
Z=112 -100/16
=12/16
Z= 0.75

2. 109
Z= X-x/σ
Z=109 - 100/16
=9/16
Z= 0.56

3. 56
Z= X-x/σ
Z=56 - 100/16
= -44/16
Z= 2.75

4. 88
Z= X-x/σ
Z=88 – 100/16
=-12/16
Z= 0.75

5. 135
Z= X-x/σ
Z=135 – 100/16
= 35/16
Z= 2.18

TABLE:

z .00 .01 .02 .03 .04 .05 .06 .07 .08


0.70 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734
0.50 0.1915 0.1950 0.1985 0.2019 0.2054 0.2083 0.2123
2.70 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970
0.70 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734
2.10 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854

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