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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

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 "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 " 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.

GENDER REPEAT ENGL ENGG SOCPROB DROPOUT ADDSC IQ GPA

0.00 0.00 63.67 89.00 1.67 2.00 0.00 2.00 4.00 0.00 0.00 60.00 111.00 3.00 2.00 0.00 2.00 1.00 0.00 1.00 69.33 95.00 1.50 2.00 0.00 1.00 4.00 0.00 0.00 38.33 106.00 3.75 2.00 0.00 2.00 1.00 0.00 0.00 68.00 83.00 0.67 1.00 0.00 2.00 2.00 1.00 0.00 65.00 81.00 1.50 2.00 0.00 1.00 4.00 0.00 0.00 44.00 115.00 4.00 2.00 0.00 1.00 3.00 0.00 0.00 48.00 112.00 3.00 2.00 0.00 2.00 3.00 0.00 0.00 57.67 92.00 2.33 2.00 0.00 1.00 2.00 0.00 0.00 59.00 85.00 1.75 2.00 0.00 2.00 2.00 0.00 0.00 55.00 95.00 3.00 2.00 0.00 2.00 4.00 0.00 0.00 43.33 115.00 3.75 2.00 0.00 2.00 3.00 0.00 1.00 60.00 93.00 1.25 2.00 0.00 3.00 4.00 0.00 0.00 67.00 91.00 2.67 2.00 0.00 1.00 4.00 0.00 0.00 40.33 107.00 3.50 2.00 0.00 2.00 0.00 0.00 0.00 65.67 102.00 0.67 2.00 1.00 2.00 3.00 0.00 0.00 69.33 86.00 2.25 2.00 1.00 2.00 1.00 1.00 1.00 69.00 74.00 1.00 2.00 0.00 2.00 3.00 0.00 0.00 24.67 129.00 3.20 2.00 0.00 1.00 3.00 1.00 0.00 60.33 96.00 3.00 2.00 0.00 2.00 3.00 0.00 0.00 37.33 114.00 3.50 1.00 0.00 2.00 2.00 0.00 0.00 51.00 105.00 1.75 1.00 0.00 2.00 1.00 0.00 0.00 67.33 83.00 1.00 1.00 0.00 3.00 3.00 0.00 0.00 42.33 120.00 3.00 1.00 0.00 2.00 1.00 0.00 0.00 56.33 88.00 1.00 1.00 0.00 2.00 3.00 0.00 0.00 53.00 93.00 2.50 1.00 1.00 2.00 1.00 1.00 1.00 76.33 86.00 1.00 1.00 0.00 2.00 3.00 0.00 0.00 65.33 106.00 2.75 1.00 0.00 2.00 2.00 0.00 0.00 55.33 109.00 1.33 1.00 0.00 2.00 1.00 0.00 1.00 67.67 55.00 1.67 1.00 0.00 2.00 2.00 0.00 0.00 42.67 111.00 2.25 1.00 0.00 2.00 2.00 0.00 0.00 58.67 105.00 1.75 1.00 0.00 2.00 2.00 0.00 0.00 54.00 103.00 1.75 1.00 0.00 2.00 3.00 0.00 0.00 53.67 101.00 3.00 1.00 0.00 1.00 3.00 0.00 0.00 51.67 101.00 3.00 1.00 0.00 2.00 2.00 0.00 1.00 59.00 90.00 2.67 1.00 1.00 2.00 3.00 0.00 0.00 56.33 95.00 3.00 1.00 1.00 2.00 1.00 0.00 0.00 65.00 108.00 1.25 1.00 0.00 1.00 3.00 1.00 0.00 55.33 95.00 2.25 1.00 0.00 2.00 1.00 0.00 0.00 68.00 98.00 1.00 1.00 0.00 3.00 3.00 1.00 1.00 53.67 82.00 0.25 2.00 0.00 1.00 3.00 0.00 0.00 45.00 100.00 3.00 2.00 0.00 2.00 3.00 0.00 0.00 49.67 100.00 2.40 2.00 0.00 3.00 3.00 0.00 0.00 65.33 85.00 2.50 2.00 0.00 1.00 4.00 0.00 0.00 41.00 105.50 3.75 2.00 0.00 2.00 2.00 0.00 1.00 55.33 107.00 0.60 2.00 0.00 1.00 4.00 0.00 0.00 33.67 108.50 3.50 2.00 0.00 2.00 4.00 0.00 0.00 37.00 122.00 4.00 2.00 0.00 2.00 2.00 0.00 0.00 54.00 105.00 2.60 2.00 0.00 1.00 2.00 0.00 0.00 35.00 113.50 3.75 2.00 0.00 2.00 3.00 0.00 0.00 51.67 95.00 3.75 2.00 0.00 2.00 1.00 0.00 0.00 48.00 124.50 1.00 2.00 0.00 1.00 4.00 0.00 0.00 27.33 125.50 3.50 2.00 0.00 2.00 3.00 0.00 0.00 50.00 120.00 3.50 2.00 0.00 3.00 2.00 0.00 0.00 57.00 106.00 3.00 2.00 0.00 3.00 3.00 0.00 1.00 55.33 96.00 2.50 2.00 0.00 2.00 3.00 0.00 0.00 36.67 108.00 2.50 2.00 0.00 3.00 4.00 0.00 0.00 52.00 92.00 3.00 1.00 0.00 3.00 3.00 0.00 0.00 41.67 104.00 3.00 1.00 0.00 2.00 2.00 0.00 0.00 51.67 99.00 2.25 1.00 0.00 2.00 2.00 0.00 0.00 50.67 103.00 1.60 1.00 0.00 3.00 2.00 1.00 0.00 57.67 75.00 1.00 1.00 1.00 3.00 3.00 0.00 0.00 47.67 90.50 2.25 1.00 0.00 2.00 2.00 1.00 0.00 76.67 96.00 1.00 1.00 0.00 3.00 3.00 0.00 0.00 39.67 108.00 2.50 1.00 0.00 2.00 3.00 0.00 0.00 52.67 86.00 2.75 1.00 0.00 3.00 2.00 0.00 0.00 55.67 97.50 0.75 1.00 0.00 2.00 2.00 0.00 0.00 47.67 99.00 1.30 1.00 0.00 3.00 2.00 1.00 1.00 64.00 92.00 1.25 1.00 0.00 3.00 1.00 0.00 0.00 64.33 95.00 1.25 1.00 0.00 3.00 3.00 0.00 0.00 69.00 88.00 1.50 1.00 0.00 2.00 2.00 0.00 0.00 44.33 111.00 3.00 1.00 0.00 2.00 1.00 0.00 0.00 53.33 103.00 2.00 1.00 0.00 2.00 2.00 0.00 0.00 55.00 107.00 2.00 1.00 0.00 1.00 2.00 0.00 0.00 41.67 118.00 2.50 1.00 0.00 2.00 2.00 0.00 0.00 57.33 116.00 2.10 1.00 0.00 3.00 3.00 0.00 0.00 52.67 84.00 2.50 1.00 1.00 3.00 3.00 0.00 1.00 62.33 80.00 2.67 1.00 0.00 3.00 3.00 0.00 0.00 69.67 79.00 2.00 1.00 0.00 3.00 3.00 0.00 0.00 61.33 78.00 2.25 1.00 0.00 3.00 3.00 0.00 0.00 43.67 106.00 2.25 1.00 1.00 2.00 3.00 0.00 0.00 49.67 91.50 2.75GENDER REPEAT ENGL ENGG SOCPROB DROPOUT ADDSC IQ GPA 1.00 0.00 2.00 3.00 0.00 0.00 41.33 111.00 2.60 1.00 0.00 2.00 3.00 0.00 0.00 47.33 102.00 2.75 1.00 0.00 2.00 4.00 0.00 0.00 47.67 108.00 4.00 1.00 0.00 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 2.00 0.00 1.00 61.33 79.00 1.67 1.00 0.00 2.00 2.00 1.00 1.00 59.67 88.00 2.25 1.00 0.00 2.00 4.00 0.00 0.00 42.33 102.00 3.40 1.00 0.00 2.00 3.00 0.00 0.00 49.67 100.00 2.50 1.00 0.00 2.00 1.00 0.00 0.00 49.67 105.00 1.33 1.00 0.00 2.00 4.00 0.00 0.00 63.33 92.00 3.50 1.00 0.00 2.00 2.00 0.00 0.00 58.00 84.00 3.00 1.00 0.00 2.00 4.00 0.00 0.00 37.67 131.00 3.75 2.00 0.00 2.00 3.00 0.00 0.00 56.00 104.00 2.67 1.00 0.00 2.00 3.00 0.00 0.00 73.67 83.00 2.75 1.00 0.00 2.00 2.00 0.00 0.00 47.33 84.00 2.00 1.00 0.00 2.00 3.00 0.00 0.00 48.33 85.00 2.75 1.00 0.00 2.00 2.00 0.00 0.00 56.00 110.00 2.50 2.00 0.00 2.00 4.00 0.00 0.00 39.33 121.00 3.55 2.00 0.00 2.00 3.00 0.00 0.00 55.67 120.00 2.75 2.00 0.00 2.00 4.00 0.00 0.00 46.00 100.00 3.50 2.00 0.00 2.00 3.00 0.00 0.00 35.00 103.00 3.75 2.00 0.00 2.00 2.00 1.00 1.00 50.33 94.00 2.75 2.00 0.00 2.00 2.00 0.00 0.00 49.00 89.00 3.00 2.00 0.00 2.00 2.00 0.00 0.00 58.33 95.00 2.50 2.00 0.00 2.00 4.00 0.00 0.00 51.67 101.00 3.25 2.00 0.00 2.00 4.00 0.00 0.00 48.33 93.00 3.25 2.00 0.00 2.00 4.00 0.00 0.00 44.33 128.00 3.30 2.00 0.00 2.00 3.00 0.00 0.00 56.67 84.00 2.75 2.00 0.00 2.00 4.00 0.00 0.00 37.33 127.00 3.75 2.00 0.00 2.00 3.00 0.00 0.00 40.33 106.00 2.75 1.00 0.00 2.00 3.00 0.00 0.00 35.33 137.00 3.00 1.00 1.00 2.00 2.00 0.00 0.00 68.33 82.00 1.75 1.00 0.00 2.00 2.00 0.00 0.00 48.67 107.00 2.00 1.00 0.00 2.00 2.00 0.00 0.00 51.33 95.00 2.75 1.00 0.00 2.00 3.00 0.00 0.00 64.00 97.00 2.67 1.00 0.00 2.00 2.00 0.00 0.00 72.67 93.00 2.00 1.00 1.00 2.00 2.00 0.00 0.00 61.00 81.00 2.00 2.00 0.00 2.00 2.00 1.00 0.00 2.00 2.00 0.00 0.00 49.00 97.00 1.50 1.00 0.00 2.00 1.00 0.00 0.00 54.33 112.00 1.60 2.00 0.00 3.00 3.00 0.00 0.00 50.33 109.00 2.75 1.00 0.00 3.00 2.00 0.00 0.00 75.33 102.00 2.25 1.00 0.00 3.00 3.00 0.00 0.00 58.00 108.00 2.50 2.00 0.00 2.00 2.00 0.00 0.00 49.00 102.00 2.30 2.00 0.00 2.00 2.00 0.00 0.00 41.00 101.50 1.50 2.00 0.00 2.00 3.00 0.00 0.00 46.67 105.00 2.20 1.00 0.00 2.00 3.00 0.00 0.00 51.33 91.00 3.75 2.00 0.00 2.00 4.00 0.00 0.00 46.67 93.50 3.00 2.00 0.00 1.00 4.00 0.00 0.00 46.67 110.50 4.00 2.00 0.00 2.00 4.00 0.00 0.00 41.00 118.00 4.00 2.00 0.00 2.00 3.00 0.00 0.00 44.33 108.00 2.40 2.00 0.00 2.00 3.00 0.00 0.00 47.33 110.00 2.75 2.00 0.00 2.00 4.00 0.00 0.00 53.33 106.50 3.00 2.00 0.00 2.00 4.00 0.00 0.00 47.33 96.00 2.75 1.00 0.00 2.00 3.00 0.00 0.00 51.00 106.00 2.66 1.00 1.00 2.00 1.00 0.00 0.00 60.33 97.00 1.50 1.00 0.00 2.00 2.00 0.00 0.00 53.67 117.00 2.40 1.00 0.00 2.00 3.00 0.00 0.00 51.67 109.00 1.50 1.00 0.00 2.00 2.00 0.00 0.00 53.33 98.00 2.20 1.00 0.00 2.00 2.00 0.00 0.00 60.67 117.00 2.30 2.00 0.00 2.00 2.00 0.00 0.00 51.00 102.00 1.40 2.00 0.00 2.00 3.00 0.00 0.00 46.00 107.00 3.00 2.00 0.00 2.00 2.00 0.00 0.00 53.33 107.00 1.80 2.00 0.00 1.00 3.00 0.00 0.00 42.67 105.00 3.75 1.00 0.00 2.00 3.00 1.00 0.00 69.00 92.00 3.25 1.00 0.00 2.00 2.00 0.00 0.00 69.00 104.00 1.75 1.00 0.00 2.00 3.00 1.00 0.00 68.33 104.00 2.33 1.00 0.00 1.00 3.00 0.00 0.00 36.67 125.00 3.50 1.00 0.00 2.00 2.00 0.00 0.00 41.00 113.50 2.56 1.00 0.00 2.00 2.00 1.00 0.00 60.00 97.50 2.50 1.00 0.00 2.00 2.00 0.00 0.00 59.00 103.00 3.25 1.00 0.00 3.00 2.00 0.00 0.00 34.00 129.00 3.25 1.00 0.00 2.00 3.00 1.00 0.00 68.33 100.50 2.50 1.00 0.00 3.00 2.00 1.00 0.00 62.00 90.00 2.00 1.00 0.00 2.00 1.00 1.00 1.00 57.33 107.00 1.75 2.00 0.00 3.00 3.00 0.00 0.00 53.33 89.50 2.00 2.00 0.00 2.00 4.00 0.00 0.00 51.67 117.00 3.50 2.00 0.00 2.00 3.00 0.00 0.00 46.67 115.00 2.75 2.00 0.00 1.00 2.00 0.00 0.00 41.33 103.00 2.50 2.00 0.00 1.00 3.00 0.00 0.00 38.67 125.50 3.50 2.00 0.00 2.00 3.00 0.00 0.00 54.33 117.50 3.00 2.00 0.00 2.00 2.00 0.00 0.00 61.00 111.00 2.70 2.00 0.00 2.00 2.00 0.00 0.00 53.67 112.00 2.00 2.00 0.00 1.00 3.00 0.00 0.00 34.00 123.00 2.70 2.00 0.00 2.00 3.00 0.00 0.00 40.00 110.50 3.75 2.00 0.00 2.00 2.00 0.00 0.00 53.67 105.50 2.25 1.00 0.00 1.00 3.00 0.00 0.00 40.33 119.50 2.50 1.00 0.00 2.00 2.00 0.00 0.00 60.67 108.00 1.70 1.00 0.00 3.00 1.00 0.00 0.00 71.00 97.50 1.00 1.00 0.00 2.00 2.00 0.00 0.00 54.67 88.00 1.69 1.00 0.00 2.00 3.00 0.00 0.00 51.67 109.50 3.30 1.00 0.00 2.00 2.00 0.00 0.00 64.00 104.00 3.25 1.00 0.00 2.00 2.00 0.00 0.00 41.00 114.00 2.25 1.00 0.00 2.00 1.00 1.00 0.00 65.67 99.50 1.67 1.00 0.00 2.00 2.00 0.00 0.00 55.00 106.50 2.67 1.00 0.00 2.00 2.00 0.00 0.00 56.00 106.00 2.00 1.00 0.00 3.00 2.00 0.00 0.00 58.00 94.50 2.00 1.00 0.00 2.00 2.00 0.00 1.00 48.33 111.50 1.75 1.00 0.00 3.00 1.00 1.00 1.00 67.00 99.00 0.67 2.00 1.00 1.00 3.00 0.00 0.00 38.00 116.00 3.50 2.00 0.00 2.00 3.00 1.00 0.00 49.67 118.00 3.00 2.00 0.00 2.00 0.00 1.00 0.00 61.00 91.50 1.00 2.00 0.00 2.00 2.00 0.00 0.00 49.33 116.00 2.25 2.00 0.00 2.00 3.00 0.00 0.00 52.33 105.50 3.00 2.00 0.00 1.00 3.00 0.00 0.00 40.00 124.50 3.75 2.00 0.00 2.00 2.00 0.00 0.00 56.33 93.00 2.25 1.00 0.00 1.00 1.00 0.00 0.00 58.67 95.50 1.50 2.00 0.00 2.00 3.00 0.00 0.00 61.67 108.00 3.00 2.00 0.00 2.00 2.00 0.00 0.00 50.00 104.00 3.06 2.00 0.00 1.00 2.00 0.00 0.00 43.00 112.00 3.00 2.00 0.00 2.00 2.00 0.00 1.00 63.33 95.00 2.43 1.00 1.00 3.00 2.00 0.00 0.00 74.00 93.00 2.00 1.00 0.00 1.00 3.00 0.00 0.00 45.00 119.00 3.75 1.00 1.00 3.00 2.00 0.00 0.00 63.00 88.00 2.25 1.00 1.00 3.00 0.00 1.00 1.00 66.67 91.00 0.75 1.00 0.00 2.00 1.00 1.00 0.00 62.00 85.50 1.33 2.00 0.00 1.00 2.00 0.00 0.00 39.00 111.00 2.00 1.00 1.00 2.00 4.00 1.00 0.00 66.00 94.00 3.25 2.00 0.00 2.00 3.00 0.00 0.00 35.00 102.50 2.50 2.00 0.00 2.00 1.00 1.00 1.00 53.00 103.00 1.33 2.00 0.00 2.00 3.00 0.00 0.00 47.00 105.50 2.70 2.00 0.00 1.00 3.00 0.00 0.00 39.67 123.50 3.50 2.00 1.00 2.00 2.00 0.00 0.00 54.00 102.50 2.75 2.00 0.00 2.00 3.00 0.00 0.00 57.33 113.00 2.67 2.00 0.00 1.00 2.00 0.00 0.00 44.67 119.00 3.00 1.00 0.00 2.00 2.00 0.00 0.00 40.50 105.00 1.00 1.00 0.00 2.00 2.00 0.00 0.00 53.00 99.00 1.83 2.00 0.00 2.00 3.00 0.00 0.00 51.50 101.00 3.00 2.00 0.00 3.00 3.00 0.00 0.00 25.50 116.00 3.75 1.00 1.00 2.00 1.00 0.00 0.00 53.00 91.00 1.00 2.00 0.00 2.00 3.00 0.00 0.00 48.00 100.00 2.50 2.00 0.00 2.00 3.00 0.00 0.00 52.50 114.00 2.40 1.00 1.00 2.00 1.00 0.00 0.00 71.50 98.50 0.81 1.00 0.00 2.00 1.00 0.00 0.00 67.00 94.00 2.33

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