STATISTICAL TECHNIQUES AND TOOLS
T DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The t-score that would be used to construct a 99% confidence interval for the mean with a sample of size n=17 would be ____
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2.921
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2.583
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2.567
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2.898
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Explanation:
Detailed explanation-1: -Answer and Explanation: Confidence level is 99%. Sample size is 17. Hence, the critical value is 2.921, and option c. is correct.
Detailed explanation-2: -Find Z(0.99) (the z-score for 99% confidence) in the statistical table. Z(0.99) = 2.576. Calculate the standard error with the formula SE = /√n, where is the standard deviation and n is the sample size. Multiply Z(0.99) by the standard error to obtain the margin of error, ME . ME = Z(0.99) × SE. 02-Feb-2023
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