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The critical F value with 8 numerator and 29 denominator degrees of freedom at a = 0.01 is

Question

The critical F value with 8 numerator and 29 denominator degrees of freedom at α=0.01 \alpha = 0.01 is

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Solution

To find the critical F value with 8 numerator and 29 denominator degrees of freedom at a = 0.01, you would typically use an F-distribution table or a statistical calculator.

Here are the steps to find it using an F-distribution table:

  1. First, identify the degrees of freedom for the numerator (df1) and the denominator (df2). In this case, df1 = 8 and df2 = 29.

  2. Look for the intersection of the row and column that correspond to the given degrees of freedom in the F-distribution table.

  3. Since the significance level (alpha) is 0.01, you should look for the value in the row for df1 = 8 and the column for df2 = 29 under the 0.01 column.

However, most F-distribution tables may not have the exact degrees of freedom listed, especially for the denominator degrees of freedom. In this case, you would need to use a statistical calculator or software to find the exact critical F value.

Here are the steps to find it using a statistical calculator:

  1. Enter the degrees of freedom for the numerator (df1 = 8) and the denominator (df2 = 29).

  2. Enter the significance level (alpha = 0.01).

  3. The calculator will then give you the critical F value.

Please note that the exact steps may vary depending on the specific calculator or software you are using.

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