An organization that packages bananas disclosed that the weight standard deviation of their banana box packing is 0.52kg. A new proposal was passed by the management to use biodegradable packaging. They are afraid that the new change would result in less consistent packaging. A sample of 15 packages was chosen which had a variance of 0.43kg. Conduct

the appropriate test at a = 0.01 level of significance. Use the classical approach and the

P-value approach. For this question, don't test for normality nor sample size. Write the formulas used and mention whether it is a left-tail, right-tail or two-tailed test.