The Head of the Math Department announced that the mean score of Grade 11 SITUATION students in the fourth long examination in Mathematics #2 was 89 and the standard deviation was 12. One student who believed that the mean score was less than this, randomly selected 34 students and computed their mean score. She obtained a mean score of 85. At 0.01 level of significance, test the student's belief.According to a study done last year, the average monthly expenses for cell phone loads of SITUATION high school students in Santa Rosa Science and Technology High School was P350. A #1 Statistics student believes that this amount has increased since January this year because of online class. Is there a reason to believe that this amount has really increased if a random sample of 60 students has an average monthly expenses for cell phone loads of P380? Use a 0.05 level of significance. Assume that the population standard deviation is P77