the average IQ score school student is 101.5. The variable is normally distributed and the population standard deviation is 15. A school principle claims that the student in her school have an IQ higher than 101.5. She selects 30 random students and find the mean of the IQ test is 106.4.

Answer the following questions based on the case study above.

1. state the null and alternative hypothesis for this problem

2. calculate the test statistics for this problem

3.what is your conslusion for the problem