Question

Consider the following IQ data obtained from a sample of 25 incarcerated youth. Convert the 25...

  1. Consider the following IQ data obtained from a sample of 25 incarcerated youth. Convert the 25 raw adjustment scores to standardized scores. Show work for at least one of the 25 scores. (Hint: You need to calculate the mean and SD first!) (4pts for entire column) *For this question, only TWO decimal places are required.

ID: 1, 2, 3, 4, 5, 6 , 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

IQ Score: 90, 95, 92, 98, 82, 109, 92, 99, 99, 107, 99, 97 88, 75, 115, 92, 95, 73, 89, 93, 90, 109, 105, 103, 86

Use the probability density function for Part 2-4.

Show your work.

2. What is the probability of obtaining a standardized score less than or equal to 1.0 standard deviations from the mean? (2pts)

P (z ≤ 1.0) =

3. What is the probability of obtaining a standardized score that is between 0.5 and 2.0 standard deviations from the mean? (2pts)

P (0.5 ≤ z ≤ 2.0) =

Use the information from Part 1 to help answer this question.

What is the probability of obtaining an assessment score between 85 and 95? (2pts)

P (85 ≤ x ≤ 95) =

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