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Suppose you know that the distribution of the sample proportions of non residents in samples of 200 students is normal with a mean of 0.46 and a standard deviation of 0.04. Supose you select a random sample of 200 students and find that the proportion of non resident students in the sample is 0.44.

  1. How many standard deviations is the sample proportion from the mean of the distribution of sample proportions?
  2. What is the probability that a second sample selected would have a proportion less than 0.44?

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