Saxena Chapter 7 and 8

# Saxena Chapter 7 and 8 - Chapter 7 and Chapter 8...

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Chapter 7 and Chapter 8 Discussion Winter 2012 Name: Sadhvi Saxena Section: 0103 All problems worth 2 pts Understanding Sample Variability and the Central Limit Theorem 1. The standard error is a measure of the sampling variability between possible sample means that could occur when sampling a population True or False 2. For populations that are not normally distributed, the spread of the distribution of MEANS will approach normality when n is large Part 2. The Central Limit Theorem 3. Individual scores of a placement exam are normally distributed with a mean of 84.2 and a standard deviation of 12.8 If the score of one individual is randomly selected, find the probability that the score will be more than 83? z= (83 – 84.2)/ (12.8) = -.09 On the standard statistical table, the z value gave a probability of around .53, or 53% 4. If a random sample of size n = 20 is selected, find the probability that the sample mean will be more than 83? Sample mean = 12.8/square root(20) = 2.86 P(Sample mean > 83) = P [83-84.2]/[20/{square root of 20)] = -.419 .6591 = 66% Part 2.

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