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Mary recently took over as Director of the local YMCA. She wants to understand their current membership including how long they have been members of

Mary recently took over as Director of the local YMCA. She wants to understand their current membership including how long they have been members of the YMCA.She selects a random sample of 40 current members and finds their mean duration of membership is 8.32 years.The historical standard deviation of this data is 3.07.

  1. What is the population mean?
  2. What is 90% confidence interval for the population mean?
  3. The previous Director's report had indicated that the mean duration of membership had increased to almost 10 years. Does Mary's sample information substantiate this claim?

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