STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
Question
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A sample of the reading scores of 35 fifth-graders has a mean of 82. The standard deviation of the population is 15.Find the 90% confidence interval of the mean reading scores of all fifth-graders.
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203 <
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78 <
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77 <
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202 <
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Explanation:
Detailed explanation-1: -Since 95% of values fall within two standard deviations of the mean according to the 68-95-99.7 Rule, simply add and subtract two standard deviations from the mean in order to obtain the 95% confidence interval.
Detailed explanation-2: -The correct interpretation of a 95% confidence interval is that “we are 95% confident that the population parameter is between X and X."
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