A math class took the IQ score (i.e., IQ) test. It was found that the group average IQ variable in the Howell Excel Data Set had a ? = 90 with ? = 17 for the math class. To find out the relative location of each of the IQ scores within this distribution, you simply convert your test scores into z-scores. Choose 10 IQ Scores to find the z-scores.

Part 1:

Use the IQ variable, choose 10 scores, in the Howell Excel Data Set and transform the x values into z-scores using the ? = 90 with ? = 17. Then put all information in a table.

You need to compare the IQ, the same 10 scores, to the national average of ? = 100 with ? = 15 for the students in the math class.

Part 2:

• Explain the reasons why transforming x values into z-scores is useful by using the example of the problem you solved in Part 1. Your explanation should include:
  • Why knowing the z-scores for IQ helps you to understand the standard normal distribution of these scores for the math class.
  • How z-scores can help researchers use the data from a sample to make inferences about a population.
  • How converting the IQ scores (x-score) to the more familiar metric IQ scores (z-scores) in the second column can be helpful for the students in the math class.