It is known that the mean diameter of rivets produced by two firms, A and B are practically the same but the standard deviation may differ. For 22 rivets produced by firm A, the variance is 1.9mm; and for 16 rivets manufactured by firm B, the variance is 3.8 mm. Answer the next three questions.
- Compute the value of test statistic that one can use to test whether the products of firm A have the same variability as those of firm B.
- What is the critical value of test statistic that you will compare your calculated test statistic with? Assume 5% significance level.
- True or False. The variability of produce of firms A and B is the same.