Hypotheses Testing

A researcher reports that the average IQ level of students in Philippine Science High School (PSHS) is 110. A sample of 20 students has a mean IQ level of 106 with a standard deviation of 9. At 5% level of significance, test the claim that the IQ level of students in PSHS is less than 110.

Step 1. Formulate Null and

Alternative Hypothesis______,_______

Step 2.Determine the test statistic, then compute its value. Since n < 30, we will use_______________________.

Step 3. From the t-value table at 0.05 level of significance, the critical value is_________

 

Step 4: Draw a conclusion. Since it is a left- tailed test and the t-computed value is -1.998, which is less than the critical value of -1.729, we _______ the null hypothesis.