Stat 211 Handout 9 (Chapter 9): Inferences Based on Two Samples tests



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Use the differences and compute the sample mean, =782.2222 and the standard deviation, =236.736.

Test statistics: =3.5764
Decision:

(i) Since this is an upper tailed test, reject H0 if t  t;n-1= t0.05;8 =1.86 or if the P-value=P(t>3.5764) is less than =0.05. Notice that test statistics, 3.5764 is large than 1.86.



(ii) 0.001
0

Conclusion: there is sufficient evidence to conclude that the true average yield in winter wheat is more than 500 higher than for spring wheat.
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