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

Question

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 area to three decimal places.

degrees of freedom =

Proportion=

Explanation / Answer

Degree of freedom = 30+40-3 = 68

P(t<-1.4)

Use Excel table or T table

T.DIST(-1.4,68,TRUE)

= 0.083

So, the proportion in a t-distribution less than -1.4 is 0.083

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