Using the Chi-Square Distribution Table, find the values for χleft2 and χTight2 of the following.Espa\~{n}olPart 1 of 5(a) When α=0.01 and n=24,\begin{cases}\(\newline\gamma_{\text{eft}}^2=9.260,(\newline\)\chi_{\text{tight}}^2=44.181\end{cases}\)Part: 51Part 2 of 5(b) When α=0.05 and n=29,\begin{cases}\(\newline\chi_{\text{eft}}^2=,(\newline\)\chi_{\text{Tight}}^2=\end{cases}\)Try againSkip PartRecheckSave For LaterSubmit AssignmentMacBook Air
Q. Using the Chi-Square Distribution Table, find the values for χleft2 and χTight2 of the following.Espa\~{n}olPart 1 of 5(a) When α=0.01 and n=24,\begin{cases}\(\newline\gamma_{\text{eft}}^2=9.260,(\newline\)\chi_{\text{tight}}^2=44.181\end{cases}\)Part: 51Part 2 of 5(b) When α=0.05 and n=29,\begin{cases}\(\newline\chi_{\text{eft}}^2=,(\newline\)\chi_{\text{Tight}}^2=\end{cases}\)Try againSkip PartRecheckSave For LaterSubmit AssignmentMacBook Air
Understand the problem: Understand the problem.We need to find the critical values for the chi-square distribution given a significance level α of 0.05 and degrees of freedom (n−1) for a sample size of n=29.
Determine degrees of freedom: Determine the degrees of freedom.The degrees of freedom (df) for the chi-square distribution is n−1. Since n=29, we have:df = 29−1=28
Use chi-square distribution table: Use the chi-square distribution table.To find the critical values, we look up the chi-square distribution table for df=28. We need to find the values corresponding to the significance level of α=0.05 for both the lower tail (χleft2) and the upper tail (χTight2).
Find lower tail critical value: Find the lower tail critical value.For the lower tail critical value χleft2, we look for the value in the table where the cumulative probability is equal to α/2, which is 0.05/2=0.025. This is because we are looking for a two-tailed test.
Find upper tail critical value: Find the upper tail critical value.For the upper tail critical value χTight2, we look for the value in the table where the cumulative probability is equal to 1−α/2, which is 1−0.025=0.975.
Read values from table: Read the values from the table.Assuming we have the chi-square distribution table, we would read off the values for df=28 at the 0.025 and 0.975 cumulative probabilities. However, without the actual table, we cannot provide the specific values.
Acknowledge limitation: Acknowledge the limitation.Since we do not have access to the chi-square distribution table, we cannot provide the exact critical values. The solution would require access to the table or a statistical software to determine the exact values for χleft2 and χTight2.
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