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The test statistic, t, is Round to two decimal places as needed) The P-value is

ID: 3232792 • Letter: T

Question

The test statistic, t, is Round to two decimal places as needed) The P-value is Round to three decimal places as needed State the conclusion for the test. o A Fal to reject the null hypothesis There is sufficient evidence to wamant rejection of the claim that the two samples ae from populators wh the same mean O B. Reject the nul hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean o c. Falto eject mu hypothesis. Thereisnot suficient to wamant rejection of claim that the two samples are from Popdators with the same mean O D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean Click to select your answer(s) and then click Check Answer All parts showing O Type here to search

Explanation / Answer

Solution:

a) Test Hypothesis
H0: 1 = 2
H1: 1 2

test statistic t = (x1-x2)/sqrt(s1^2/n1+s2^2/n2)

= (2.39 - 2.65)/sqrt(0.76^2/29+0.89^2/39)

= -1.2963

It is a two-tailed test.

Th degree of freedom = n1+ n2 - 2
= 29 + 39 -2
= 66

So the p-value = 2*P(t with df = 66 < -1.2963) = 0.1994
A. Fail to reject null hypothesis. There is sufficient evidence to warrent rejection of the claim that the two samples are from populatiom with the same mean.

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