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lecture14

# lecture14 - Summary of the procedure1 The small-sample...

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Summary of the procedure 1 I The small-sample confidence interval for μ is ¯ x ± t α/ 2 s n where t α/ 2 is based on ( n - 1) degrees of freedom. I It is required the population has a relative frequency distribution that is approximately normal. (It has been empirically found that t-distribution is not very sensitive to the departure from normality in the population.) 1 Chapter 7, § 4 & § 5

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Exercise 13.1 I The following sample of 16 measurements was selected from a population that is approximately normally distributed: 91 80 99 110 95 106 78 121 106 100 97 82 100 83 115 104 a. Construct an 80% confidence interval for the population mean. b. Construct a 95% confidence interval for the population mean, and compare the width of this interval with that of part a. c. Carefully interpret each of the confidence intervals, and explain why the 80% confidence interval is narrower.
Large-sample C. I. for population proportion I Problem: Public-opinion polls are conducted regularly to estimate the fraction of U.S. citizens who trust the president. Suppose 1,000 people are randomly chosen and 637 answer that they trust the president. How would you estimate the true fraction of all U.S. citizens who trust the president?

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lecture14 - Summary of the procedure1 The small-sample...

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