Probability and normal distribution

Learning Goal: I’m working on a statistics multi-part question and need the explanation and answer to help me learn.

Start the assignment below immediately, but only after reading the illustration that shows you how to do the assignment. Ask further questions about the assignment in the discussion as you work on it.

Enumerate your answers to the questions, as below. When you have completed the assignment, you will use the Assignment tab at the end of the Canvas module to submit your work for grading and comment.

  1. Refer to the mean and SD which you computed in previous assignments for your assigned variable. Using this information, select an extreme value from the NCS data file for the numeric variable you have been assigned (see the frequencies of the values you computed in the first assignment). Indicate the value.
  2. By hand, compute the z score for the value you selected using the mean and SD, and show your work.
  3. Use the table in the module to find the percentile rank for this z score assuming a normal distribution.
  4. What is the probability that a score with this value, or higher would be found in the population by chance?
  5. What is the general range of z values most likely to be found in a random sample?

Assignments submitted before the due date will be given comments, and the option to revise and resubmit a final version addressing the comments for grading.

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