SAT scores. At CSLA, the SAT scores of entering students have had a mean of 950 (for the critical reading and mathematics portions). Each year a sample of applications is taken to see whether the examination scores are at the same level as in previous years. A sample of 169 students in this year's class had a sample mean score of 980. Assume the population standard deviation is known and equal to 150. a) Test the null hypothesis : against a two-sided alternative : μ = 950 hypothesis using the critical value approach. Use a 0.05 level of significance. b) Calculate the p-value using a 0.05 level of significance.