Z TEST IS USED TO DETERMINE WHETHER TWO POPULATION MEANS ARE DIFFERENT WHEN THE VARIANCE ARE KNOWN AND THE SAMPLE SIZE IS LARGE
CRITICAL VALUES OF Z LEVEL OF SIGNIFICANCE 0.05 0.01 ONE – TAILED TEST 1.645 OR -1.645 2.33 OR – 2.33 TWO – TAILED TEST 1.96 OR -1.96 2.575 OR – 2.575
THE Z TEST ONE SAMPLE MEAN
THE ACHIEVEMENTS TEST RESULTS IN HISTORY REVEALED THAT THE 500 GRADE 7 STUDENTS HAD A MEAN PERFORMANCE OF 112 .5 AND STANDARD DEVIATION OF 24. WOULD YOU AGREE TO THIS CLAIM IF A RANDOM SAMPLE OF 50 GRADE 7 STUDENTS SHOWED AN AVERAGE PERFORMANCE OF 105.5 AND A STANDARD DEVIATION OF 20.5. Ho. THE MEAN PERFORMANCE OF GRADE 7 STUDENTS IN HISTORY ACHIEVEMENT TESTIS NOT 112.5
TWO SAMPLE MEAN TEST
SCIENCE PERFORMANCE OF GRADE 8 MALE AND FEMALE STUDENTS AT FAR EASTERN ACADEMY. Ho. There is no significant difference in the Science performance of grade 8 male and female students at Far Eastern Academy.
MALE FEMALE SD f f 65-69 3 5 60- 64 4 7 55-59 6 6 50-54 5 5 45-49 4 6 35-39 7 4 30-34 5 3 25-29 6 7