P4) Assume scores on a certain test are Gaussian distributed with population variance 02 = 10. A random sample of 16 students' scores yielded sample variance value, 5'2 = 3.486. aFind the probability that the sample variance is less than the observed value, in other words find P(S2 g 3.486). [Spts] b-Does the probability calculated in part (a) decrease or increase if the population variance was smaller than 10, Lo. 02