Question

Use the Distributions tool to look at the t distributions for different sample sizes. To do this, choose the Degrees of Freedom for the first sample size on the slider, and click the radio button with the single orange line. Move the orange vertical line to the right until the number below the orange line is located on the t statistic. The probability of getting that t statistic or one more extreme will appear in the bubble with the orange type. Now repeat the process for the other sample. t Distribution Degrees of Freedom-52 3.0 -2.0 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-29?p- What is the probability of getting the t statistic or something more extreme for the sample size of n The t distribution is in 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.) with a smaller n. (Hint: To best see this, click the radio button

Answer 1

(a) Since we have to given t statistics = 1.15 and n=29 , so we calculate p-value using the Excel function TDIST() as follows:

p-value = 0.129935824 (round the answer as per requirement) , Since used [TDIST(1.15,28,1)]

(b) Similarly we have to given t statistics = 1.85 and n=91,so we calculate p-value using the Excel function TDIST() as follows:

p-value = 0.033779426 (round the answer as per requirement) , Using ( TDIST(1.85,91,1) )

(c) flatter and more spread out.