Statics Probability Question:

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You have the IQs of a set of people. The mean of these IQs is 100. The standard deviation is 15. One student scored 90 on the test. This produced a z-score of -0.67 or -0.7 to 1 decimal place. Using the z-score table in appendix 1, what does this mean?

Statics Probability Interview Question
Statics Probability Interview Question

Answer:

1. Taking the z-score to 1 decimal place the table tells us that 75.80% of people in the set would have IQ's equal to, or greater than, the student. In other words the student is not very intelligent.
2. Taking the z-score to 1 decimal place the table tells us that 75.80% of people in the set would have IQ's equal to, or lower than, the student. In other words the student is very intelligent.
3. Taking the z-score to 1 decimal place the table tells us that 24.20% of people in the set would have IQ's equal to, or greater than, the student. In other words the student is very intelligent.
4. None of the above.

Answer: Taking the z-score to 1 decimal place the table tells us that 75.80% of people in the set would have IQ's equal to, or greater than, the student. In other words the student is not very intelligent.

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The mean of a set of IQs is 100 and the standard deviation is 15. The z score for one student is +2.2 Using the necessary z-score table in appendix 1, what does this mean?Suppose that some assessment results for two types of offenders (sex offenders and violent offenders) were 60 and 50 respectively. Which type of offender did better in comparison to other offenders on the treatment course and which may need further treatment? The group means and SDs are 50 and 9 for sex offenders and 45 and 3 for violent offenders.