Task: Greenbelt Elementary School has 300 students. The Principal of the School thinks that the average IQ (Intelligence Quotient) at her school is at least 110. To prove her point, she administers an IQ Test to 20 randomly selected students. Among the sampled students the average or mean IQ is 108 with a standard deviation of 10. Based on these results, should the Principal Accept or Reject her original Hypothesis. Conduct the Hypothesis test at the .01 significance level.
State Null and Alternate Hypothesis:
1) Is this one-tailed or two-tailed Test?
2) Compute the Test statistic.
3) What is your decision regarding the HO. In other words, do you Accept or Reject the Principal's Null Hypothesis? Be specific as to why you decided to accept or to reject the Null Hypothesis.