Chapter 6, Section 4-D, Exercise 186 Use a t-distribution to answer this questio

Question

Chapter 6, Section 4-D, Exercise 186 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 ni = 30 and n2 = 40, Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = proportion =

Explanation / Answer

Degree of freedom: df=n1+n2-2= 30+40 -2 = 68

The required proportion is

P(T <t) = P(T < -1.4) = 0.083

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