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A sample of size 30 is selected from a population with mean 100 and standard deviation 8. Answer the following questions. What is the approximate

  1. A sample of size 30 is selected from a population with mean 100 and standard deviation 8. Answer the following questions.

  1. What is the approximate distribution of the sample mean?
  2. What is the mean of the distribution of the sample mean?
  3. What is the standard deviation of the distribution of the sample mean?
  4. What is the approximate probability that the sample mean falls between 98.5394 and 101.4605935?
  5. What is the approximate probability that the sample mean falls between 97.07881303 and 102.921187?
  6. What is the approximate probability that the sample mean falls between 96 and 101?
  7. What is the approximate chance that the sample mean falls between 98 and 105?
  8. What is the approximate chance the sample mean takes a value more than 2.5 standard deviations above the mean?
  9. What is the approximate chance the sample mean takes a value within 1.4 standard deviations of 100?
  10. What is the approximate distribution of the sample sum?
  11. What is the mean of the distribution of the sample sum?
  12. What is the standard deviation of the distribution of the sample sum?
  13. What is the approximate probability that the sample sum is between 2900 and 3100?
  14. What is the approximate probability that the sample sum exceeds 3120?

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