For the conjecture, determine the claim from the stated problem then summarize the results as to support or reject the claim based on the calculated test value.  Draw the picture. Intelligence Tests.  In Pennsylvania, the average IQ score is 101.5.  The variable is normally distributed, and the population standard deviation is 15.  A school superintendent claims that the students in their school district have an IQ higher than the average of 101.5.  A random sample of 30 students are taken and the mean of the test scores is found to be 106.4.   At , test the claim