Explain the meaning of the confidence interval

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A clinic offers a weight-reduction program and is studying the "end of program" weight loss. A random sample of 40 patients' records found a mean weight loss of 16.4 pounds with a standard deviation of 5.4 pounds.  

  1. If you want to find a confidence interval for the mean weight loss, is it necessary to know that the population distribution of weight loss is normally distributed? Explain why or why not.
  2. What is your margin of error?
  3. By hand, find a 95% confidence interval for the mean weight loss of all the patients in the program.
  4. Explain the meaning of the confidence interval.
  5. Can you be 95% confident the mean weight loss for the program is greater than 15 pounds? Explain.

Reference no: EM132463613

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