Read each situation and perform the appropriate hypothesis testing for the mean. Show your step-by-step solution. 1) The Head of the Math Department announced that the mean score of Grade 11 students in the Midterm Examination in Statistics and Probability was 89 and the standard deviation was 12. One students 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. 2) According to last year's report, a Filipino household spends an average of P400.00 per day for food. Suppose you recently took random samples of 25 households. You determined how much each household spent for food each day and the results revealed a mean of P390.00 and a standard deviation of P21.50. Using a 0.01 level of significance, can it be concluded that the average amount spent per day for food of a Filipino household has decreased? Assume normality over the population