On average, a laptop battery lasts 120 minutes with a standard deviation of 4 minutes. 6 batteries are randomly selected for a quality control test.
1. Calculate the chi square statistic for the test if the standard deviation of the selected batteries is 6 minutes.
2. If the test is repeated with a new random sample of 6 batteries. What is the probability that the standard deviation of the new test is greater than 6 minutes?