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Suppose you know the distribution of a sample proportions of non residents in samples of 200 students is normal with a mean of 0.46 and a standard deviation of 0.03. Suppose you select a random sample of 200 students and find that the proportion of non resident students the sample is o.44.
a. How many standard deviations is the sample proportion from the mean of the distribution of sample proportions round to the nearest 10th as needed.
b. What is the probability that the second sample selected would have a proportion less than 0.44 round to 4 decimal places.
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