Use the t-distribution tatie to fnd the crtical valueal for the indic-ated atama

Question

Use the t-distribution tatie to fnd the crtical valueal for the indic-ated atamative hrypethases, leve of signcance a, and sarrgle sizes s, ard 3 Assune and (b (a) Find the crtical vaue(s) as sumng that the popdatin voraces are .qual Type an integer or decimal rounded to theae dcimal places as needed Use a camma to separate answes as needed ) b) Find the crtical value(s) assuming that the popuabon varances are not equal Type an rte ger or decma! rounded to three decima·places as needed Use comma to separate assers s needed.

Explanation / Answer

A) for the population variances are equal

DF = 6 + 8 - 2 = 12

With 12 degrees of freedom and alpha = 0.2, the critical value is +/- 1.356

B) For the population variances are not equal

DF = (s1^2/n1 + s2^2/n2)/((s1^2/n1)^2/(n1 - 1) + ((s2^2/n2)^2/(n2 - 1))

Here the sample standard deviations are not given.

So degrees of freedom can't be calculated.

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