GENDER REPEAT ENGL ENGGS OCPROB DROPOUT ADDSC IQ GPA

1.00 1.00 2.00 3.00 0.00 0.00 41.33 111.00 2.60

1.00 1.00 2.00 3.00 0.00 0.00 47.33 102.00 2.75

1.00 1.00 2.00 4.00 0.00 0.00 47.67 108.00 4.00

1.00 1.00 2.00 2.00 0.00 0.00 61.33 109.00 2.25

1.00 0.00 2.00 3.00 0.00 0.00 35.33 118.00 3.00

1.00 1.00 2.00 1.00 0.00 0.00 61.33 79.00 1.67

1.00 0.00 2.00 2.00 0.00 1.00 59.67 88.00 2.25

1.00 0.00 2.00 2.00 1.00 0.00 42.33 102.00 3.40

1.00 0.00 2.00 2.00 1.00 0.00 49.67 100.00 2.50

1.00 0.00 2.00 4.00 0.00 0.00 49.67 105.00 1.33

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 using the "Create a Table" in the Learning Resources.

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. Add another column to your chart, using the "Create a Table" in the Learning Resources.

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.