Lesson 7.pdf - Lesson 7 Determining Sample Size We learnt...

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Lesson 7: Determining Sample Size We learnt how to get a range of likely values for unknown parameters such as population mean ࠵? and population proportion ࠵? . In each case we considered taking a random sample of fixed size ࠵? . Now, for a given confidence level we want our CI to be narrower (more precise). For example consider the CI for ࠵? Now we are questioning, “how large sample is needed in order to get an interval estimation so that it is narrow enough to be useful”? Margin of Error Have you ever come across the term “ give or take ”?
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Sample Size in Estimating Mean Example 1 : A mathematics department wishes to evaluate a new method of teaching calculus with a computer. Students will be given a test at the end of the course and department is interested in estimating the mean score for the test using a 95% confidence interval. Due to several reasons they don’t want to expose all the students to the new method until they have an idea about the effectiveness of the new teaching method. They want to estimate the true mean score
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