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A principal at a certain school claims that the students in his school are above average...

A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal’s claim? The IQ of the population (Random Variable X) is assumed to be a normal distribution. The mean population IQ is 100 with a standard deviation of 15. 1. Find the rejection region area (given by your alpha level 0.05) from the z-table. An area of .05 is equal to a z-score of 1.645 (one-tail test) 2. What happens if you had a sample size of 100 with the sample average of 112.5?

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