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how to solve these problems If a sampling distribution is normally shaped, we can apply the Empirical Rule and use z-scores to determine probabilities. Let's

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how to solve these problems

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If a sampling distribution is normally shaped, we can apply the Empirical Rule and use z-scores to determine probabilities. Let's Sa look at some examples. 4 Example A random sample of 100 students is taken from the population Sa of all part-time students in the U.S., for which the overall population of females is 0.6. Start by determining what is given in the original statement. 100 n Sil i 0.6 P + Test to see if we can use the normal distribution. No np 100 X and ng = 0.6 X Di 15 Can we use the normal approximation? Yes, np and nq are both greater than 10 + Le Since the population proportion is p = 0.6, we know the mean of the sampling proportions is up 100 x . (Hint: Hp = P.) Fini What is the standard deviation? op 0.6

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