PROBLEM 1

The mean score of 50 male students in mathematics was 78.95, with a standard deviation of 11.23 while that of 53 female students was 85.11 with standard deviation of 15.36. Test the significant difference of the performance of the groups in mathematics using 10% level of significance.

PROBLEM 2

The average pregnancy age for a girl in the Philippines is 22. A sample of 25 girls in Manila was taken as a sample in a study in proving whether the previous claim is true and found to have an average of 18. If the standard deviation is 12, can we say that the samples taken are older than the rest of the population? Use 5% level of significance.

9 NOSS31 PROBLEM #3 THE OWNER OF A FACTORY THAT SELLS A PARTICULAR BOTTLED FRUIT JUICE CLAIMS THAT THE AVERAGE CAPACITY OF THEIR PRODUCT IS 250 ML. TO TEST THE CLAIM, A CONSUMER GROUP GETS A SAMPLE OF 100 SUCH BOTTLES, CALCULATE THE CAPACITY OF EACH BOTTLE, AND THEN FINDS THE MEAN CAPACITY TO BE 248 ML. THE STANDARD DEVIATION IS 5 ML. IS THE CLAIM TRUE? USE 0.05 LEVEL OF SIGNIFICANCE. STEP 1 Ho: STEP 2 LEVEL OF SIGNIFICANCE: TAILED TEST: TEST STATISTICS: CRITICAL VALUE:STEP 3 STEP 5 (x - 10)Vn S STEP 4 DECISION