7. Imagine a population that has a true mean = 500 points and true variance =...
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7. Imagine a population that has a true mean = 500 points and true variance = 1600 points. If you randomly drew samples of size n=64, computed each sample's mean, and plotted the sample means in a new distribution, what would it look like (approximately)? Sketch the sampling distribution of means, being sure to label the values of the true mean and each value associated with 1, 2, and 3 standard errors from the true mean (you will need to compute the standard error). 8. Using the information from #7, what sample mean would be in the 97.72nd percentile of means? (look at your sketch) 9. Using the information from #7, what sample mean would be in the 15.87th percentile of means? 10. When we sketch a sampling distribution of means, we often assume it will be normal in its shape, especially with a large enough sample size used for sampling means, even if the population distribution of scores we drew samples from is not normal in its shape. What allows us to make this assumption? 7. Imagine a population that has a true mean = 500 points and true variance = 1600 points. If you randomly drew samples of size n=64, computed each sample's mean, and plotted the sample means in a new distribution, what would it look like (approximately)? Sketch the sampling distribution of means, being sure to label the values of the true mean and each value associated with 1, 2, and 3 standard errors from the true mean (you will need to compute the standard error). 8. Using the information from #7, what sample mean would be in the 97.72nd percentile of means? (look at your sketch) 9. Using the information from #7, what sample mean would be in the 15.87th percentile of means? 10. When we sketch a sampling distribution of means, we often assume it will be normal in its shape, especially with a large enough sample size used for sampling means, even if the population distribution of scores we drew samples from is not normal in its shape. What allows us to make this assumption?
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Related Book For
Understanding Business Statistics
ISBN: 978-1118145258
1st edition
Authors: Stacey Jones, Tim Bergquist, Ned Freed
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