STATISTICAL TECHNIQUES AND TOOLS
T DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Teacher’s t-distribution
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Z-distribution
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Student’s t-distribution
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a. Teacher’s Z-distribution
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Detailed explanation-1: -What Is a T-Distribution? The t-distribution, also known as the Student’s t-distribution, is a type of probability distribution that is similar to the normal distribution with its bell shape but has heavier tails. It is used for estimating population parameters for small sample sizes or unknown variances.
Detailed explanation-2: -Student’s t-distribution is named in honor of William Sealy Gosset (1876-1937), who first determined it in 1908. Gosset was one of the best Oxford graduates in chemistry and mathematics in his generation.
Detailed explanation-3: -What is the t-distribution? The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Detailed explanation-4: -The notation for the Student’s t-distribution (using T as the random variable) is: T t df where df = n – 1. For example, if we have a sample of size n = 20 items, then we calculate the degrees of freedom as df = n – 1 = 20 – 1 = 19 and we write the distribution as T t 19.