Math Problem Solver

Sir R. A.​ Fisher, a famous​ statistician, showed that the critical values of a​ chi-square distribution can be approximated by the standard normal distribution

chi Subscript k Superscript 2 Baseline equals StartFraction left parenthesis z Subscript k Baseline plus StartRoot 2 v minus 1 EndRoot right parenthesis squared Over 2 EndFraction

where v is the degrees of freedom and z Subscript k is the​ z-score such that the area under the standard normal curve to the right of z Subscript k is k. Use​ Fisher's approximation to find chi Subscript 0.99 Superscript 2 and chi Subscript 0.01 Superscript 2 with 90 degrees of freedom. Compare the results with those found in the table of the​ chi-square distribution.

Click here to view the standard normal distribution table.LOADING...

Click here to view the chi-square distribution table.LOADING...

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Part 1

In​ Fisher's approximation the value of chi Subscript 0.99 Superscript 2 is

enter your response here. ​(Type an integer or a​ decimal.)