Chi Square Test for Comparing Variance with Example Problem | Hypothesis Testing Statistics Video
Chi Square Test for Comparing Sample and Population Variance with Example Problem | Hypothesis Testing Statistics
The chi-Square value is used to judge the significance of the population variance, it implies to conclude if a random sample has been drawn from a normal population with a specified variance.
PROBLEM
The variance of the distribution of the weight of all students of a school is 20 Kg. Can we conclude that the sample of 10 students is drawn from this school at a 5% and 1% significance level?
SOLUTION
NULL HYPOTHESIS: The sample variance and population variance are equal.
ALTERNATIVE HYPOTHESIS: The sample variance and population variance are not equal.
Hence calculate the value of Chi-Square by dividing the sample variance by population variance multiplied by degrees of freedom (n-1).
Compare the 'Calculated value of Chi-Square' with the 'Critical value of Chi-Square' referred from the Chi-Square distribution table for (n-1) degrees of freedom at given a significance level.
If the 'Calculated value of Chi-Square' comes out greater than the 'Critical value of Chi-Square' from the table then reject the null hypothesis.
If the 'Calculated value of Chi-Square' comes out less than or equal to the 'Critical value of Chi-Square' referred from the table then we can’t reject the null hypothesis and continue with the null hypothesis.
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