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\fONE SAMPLE T TEST 1. A study shows that the average daily use of a computer of 20 to 25 years old students is 6 hrs. per day. A researcher claims that their students tend to use less than 6 hrs. They selected 18 students and found the mean of 7 hrs. with a standard deviation of 2.0 hrs. Use 0.05 level of significance to test their claim. TWO SAMPLE - INDEPENDENT 2. A course in Mathematics is taught to 15 students by the Design thinking method. Another group of 11 students was given the same course by means of traditional method. At the end of the semester, the same test was administered to each group. The 15 students under method A made an average of 82 with a standard deviation of 5, while the students under traditional method made an average of 78 with a standard deviation of 6. Test the null hypothesis of no significant difference in the performance of two groups of students with 1% level of significance. TWO SAMPLES - DEPENDENT 3. A mathematics teacher wants to see whether a lesson in symbols and language will reduce the number of statement errors her students make when answering a ten-item activity. The data are shown below. At a level of significance of 0.01, can it be concluded that the number of errors has been reduced? Student 1 2 3 4 Errors before 10 4 2 O Errors after 7 6 2 0