Final answer:
To determine chi-squared critical values, one needs to look up the intersection of the degrees of freedom and the desired significance level in a chi-squared distribution table or compute them using statistical software for each of the given scenarios.
Step-by-step explanation:
The subject of this question is the chi-squared distribution, which falls under the category of Mathematics. In particular, this question is dealing with finding critical values from the chi-squared distribution given a certain significance level (alpha) and degrees of freedom (df). These values are typically found using a chi-squared distribution table or statistical software.
To answer the given problems, you would look up the following in a chi-squared distribution table or use a statistical software:To find the χ2 0.025 when v = 15, search for the value in the chi-squared table where the columns for df=15 and alpha=0.025 intersect.For χ2 0.01 with v = 7, locate the intersection for df=7 and alpha=0.01 in the table.Lastly, to find χ2 0.05 when v = 24, look up the value where df=24 and alpha=0.05 cross.A chi-squared distribution is used in statistics to analyze categorical data and test for the independence of two variables. In thisquestion, we are asked to find the values of χ2 for different levels of significance (α) and degrees of freedom (v).(a) χ2 0.025 when v = 15:To find χ2 0.025 when v = 15, we can use a chi-squared table or a statistical software. The value of χ2 0.025 when v = 15 is approximately 24.996.