How Do I Solve Normal Distribution Problems Beyond the Standard Z-Table Range?

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Homework Help Overview

The discussion revolves around solving normal distribution problems, specifically those that require values outside the standard Z-table range, which typically spans from -3 to 3. The original poster expresses confusion regarding how to handle problems that involve Z-scores like -4.5.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the limitations of standard Z-tables and question how to approach problems that require Z-scores beyond the typical range. Some suggest looking for alternative resources or methods to find these values.

Discussion Status

There is an ongoing exploration of resources that could assist in finding probabilities for extreme Z-scores. Some participants have provided links to websites that offer extended tables and interactive calculators, indicating a productive direction in the discussion.

Contextual Notes

The original poster notes that their textbooks only provide Z-tables from -3 to 3, which raises questions about how to approach problems requiring Z-scores outside this range. This limitation is a central point of discussion.

semidevil
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the only tables that I see go from -3 to 3 in my textbooks. but I keep seeing problems on the textbooks tha ask for p( -4.5 < z < .5)

how do I solve this?
 
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what are you talking about? Be more specific.

Regards,

Nenad
 
Nenad said:
what are you talking about? Be more specific.

Regards,

Nenad

I mean, like whenever I solve problems using the normal distribution table, the table only ranges from -3 to +3. and a lot of problems, ask me to solve, when p(-4.5 < z < .5) or something like that. How do I solve it if my table doesn't go that high/low?
 
semidevil said:
the only tables that I see go from -3 to 3 in my textbooks. but I keep seeing problems on the textbooks tha ask for p( -4.5 < z < .5)

how do I solve this?
There are several options. Web Site #1 below offers interactive calculation of both Normal Distribution and Inverse Normal Distribution for {-7.0 < z < +7.0}. Web Site #2 provides tabulated values of Normal Distribution tail probabilities for {0 < z < +9.5}, with larger "z" values given in the extended table below the main table. Finally, you can calculate your own Normal Distribution CDF's from Equations #10-14 and other references given in Web Site #3 below.

URL #1 ---> http://davidmlane.com/hyperstat/z_table.html
URL #2 ---> http://www.math.unb.ca/~knight/utility/NormTble.htm
URL #3 ---> http://mathworld.wolfram.com/NormalDistributionFunction.html

~~
 
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