Answer 5 questions on z score, standard error and measurment.

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Answer 5 questions on z score, standard error and measurment.
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1-Scales of Measurement;Explain the four scales of measurement. Give a specific, concrete examples of Nominal, Ordinal, Interval, Ratio data and discuss what are the statistical limits of each scale.

2-Create an imaginary test score distribution with a mean and a standard deviation of your choosing. Do NOT repeat the mean and a standard deviation from any other student’s posts. Choose three raw scores and convert them to z scores.
Next convert those three z scores to T scores.

3-

a) An individual receives a raw score of 66 on a national standardized test where the mean is 58 With a standard deviation of 8. What is it individuals z score? T score? What percentage of test takers that this individual score higher than?

b) An individual receives a raw score of 42 on a national standardized test where the mean is 58 With a standard deviation of 8. What is it individuals z score? T score? What percentage of test takers that this individual score higher than?

c) An individual receives a raw score of 58 on a national standardized test where the mean is 58 With a standard deviation of 8. What is it individuals z score? T score? What percentage of test takers that this individual score higher than?

4-What are norm referenced and criterion referenced tests? Discuss the the strengths and weakness of of both. When might a criterion referenced test be more appropriate than a norm referenced test? When might a norm referenced test be more appropriate than a criterion referenced test? Give specific reasons for your choice and examples of each.

5-What is the standard error of measurement? Please explain the relationship between Reliability, The Standard Error of Measurement, and Confidence Intervals. Finally, why is this relationship important?

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