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Chapter 11: Problem 4

Determine the value of \(\chi^{2}\) for 14 degrees of freedom and an area of \(.10\) in the left tail of the chisquare distribution curve.

Short Answer

Expert verified
The value of \(\chi^{2}\) is given in the intersection of the appropriate row and column in the chi-square distribution table. The actual value will depend on the specifics of the table used, as some tables may have differing levels of precision or rounding.

Step by step solution

01

Locating the appropriate row

Since we have 14 degrees of freedom, we should find the row that corresponds to 14 degrees of freedom in the chi-square distribution table.
02

Find the column corresponding to the given percentage

The cumulative probability mentioned is 0.10 which implies the target area covers 10% of the distribution to the left of the \(\chi^{2}\) value we're seeking. We now have to find the column in the chi-square table that corresponds to area 0.10.
03

Determine the \(\chi^{2}\) value

The intersection of the row from step 1 and the column from step 2 will give us the \(\chi^{2}\) value. This is the value in the chi-square distribution table that correlates with 14 degrees of freedom and an area of 0.10 in the left tail.

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Most popular questions from this chapter

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