T distribution versus normal distribution
[DOCX File]Hypothesis Testing - University of Houston
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The t-distribution is a family of probability distributions; each separate t-distribution is determined by a parameter called the degrees of freedom (df). The value of the degrees of freedom is based on the sample size. As the sample size increases, the t-distribution approaches the z-distribution (the normal …
[DOC File]CHAPTER 8—SAMPLING DISTRIBUTIONS
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2. If the population is Normal and (2popln, is unknown then = T(n-1) . 3. If n is large then is approximately Normally distributed! Implications. 1. The first result is important since we note that if we sample from a Normal population, then the sample average is exactly normally distributed, regardless of …
[DOC File]When to Use the T-Distribution vs
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When to Use the T-Distribution vs. the Normal Distribution for Confidence Interval and Hypothesis Testing Problems for Means Main Point to Remember: You must use the t-distribution table when working problems when the population standard deviation (σ) is …
[DOC File]Section 1
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Normal distribution. The t-distribution. The chi-square distribution. All of the above. Problem 10: If a sample size n is 65, then a test of a claim about a population standard deviation uses. A normal distribution with mean 65. A normal distribution with standard deviation 64. A chi-square distribution with 65 degrees of freedom
[DOC File]Name:
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a) The standard normal distribution is centered at 0, while the t-distribution is centered at (n – 1). b) As the sample increases, the difference in the proportion of area in the tails between the t-distribution and the standard normal distribution increases. c) The standard normal distribution is just another name for the t-distribution. d ...
[DOC File]Topic 2. Distributions and hypothesis testing [S&T Chap. 4-5]
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The distribution of this statistic is known as the Student's t distribution. There is a unique t distribution for each value of n. For example, for sample size 5, the corresponding t distribution is said to have (5 – 1) degrees of freedom. (df). Now consider the shape of the frequency distribution of the sampled t …
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