Discussion (WK3)

# Discussion (WK3) - Discussion (WK3) Question 1: As a sample...

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Discussion (WK3) Question 1: As a sample size approaches infinity, how does the student’s t distribution compare to the normal z distribution? When a researcher draws a sample from a normal distribution, what can one conclude about the sample distribution? Explain. Z-distribution is used to approximate a normal distribution of data. Is normally distributed with mean 0 and variance 1, as the sample mean is normally distributed with mean μ and standard error where σ 2 is population variance and “n” is the sample size (when “n” is large or greater than 30). We use Z-distribution to test a certain hypothesis, when population variance is known. On the other hand, t-distribution can be defined as: This differs from Z as the exact standard deviation is replaced by the sample variance which is a random variable and thus this has a Student's t-distribution. Therefore, to test a certain hypothesis, we use t-distribution, when population variance is unknown and hence we replace it by the sample variance S

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## This note was uploaded on 08/29/2011 for the course EC 315DLB taught by Professor Randallbarcus during the Fall '10 term at Park.

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Discussion (WK3) - Discussion (WK3) Question 1: As a sample...

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