Discuss the below problems:
Q1. The SEM for a particular intelligence test (mean of 100, standard deviation of 15) is 3 points. Ken Garoo obtains an IQ score of 126, but needs an IQ of 130 to qualify for a Talented and Gifted (TAG) class. Calculate the range of Ken's true score: (a) with 68% probability, and (b) with 95% probability. Should Ken be admitted into the TAG class?
Q2. Explain the advantages of a one-tailed verses a two-tailed test. If one-tailed tests are more powerful, then why bother with two-tailed tests at all?
Q3. Explain why there is an inverse relationship between committing a Type I error and committing a Type II error. What is the best way to reduce both kinds of error?