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Multiple choice for blanks 1) 0.0145, 0.1198, 0.0192 or 0.2689 2) 0.0100, 0.1198

ID: 3065672 • Letter: M

Question

Multiple choice for blanks 1) 0.0145, 0.1198, 0.0192 or 0.2689 2) 0.0100, 0.1198, 0.0192, 0.2612 3) Flatter and more spread out or more bell shaped? t Distribution Degrees of Freedom 52 3.0 2.0 1.0 0.0 1.0 2.0 3.0 What is the probability of getting the t statistic or something more extreme for the sample size of n 317 p , what is the probability of getting the t statistic or something more extreme for the sample size of n with a larger n. (Hint: To best see this, click the radio button in The t distribution is the tool with no vertical lines. Slowly move the Degrees of Freedom slider from the smallest value to the largest value, and observe how the shape of the distribution changes.)

Explanation / Answer

(a) For getting the t-statistic more extreme for sample size n=31, p=0.0145. because t-distribution is also bell shaped, as we approach towards extrems probability (area under the curve) also decreases.

(b)  For getting the t-statistic more extreme for sample size n=31, p=0.0100. because t-distribution

(c) More bell shaped as n is large in t-distribution. T- distribution tends to normal distribution as n is large which is more peaked as compared to t-distribution. Normal distribution is more symmetrical and mesocurtic.