8. Use a t-distribution to answer this question. Assume the samples are random s

Question

8. Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4 if the samples have sizes n1 -30 and n2-40 Enter the exact answer for the degrees of freedom and round your answer for the endpoints to three decimal places. Degrees of freedom Proportion =

Explanation / Answer

Degrees of freedom = n1 + n2 - 2 = 30 + 40 -2 = 68

Here Test is two sided test

p - value = Pr( t < -1.4; 68) = 0.166

If it is one tailed

P - value = 0.083

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