STATISTICAL TECHNIQUES AND TOOLS
T DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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t-distribution is a probability distribution used to estimate parameters EXCEPT when ____
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the population standard deviation is known
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the sample size is small
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the population variance is unknown
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the sample size is small and population variance is unknown
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Explanation:
Detailed explanation-1: -The t-distribution should only be used when the population standard deviation is not known. If the population standard deviation is known and the sample size is large enough, the normal distribution should be used for better results.
Detailed explanation-2: -The Student’s t-distribution is a continuous probability distribution that is used to estimate the mean of a normally distributed population when the sample size is small, and the population variance is unknown.
Detailed explanation-3: -If the population standard deviation is known, use the z-distribution. If the population standard deviation is not known, use the t-distribution.
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