Question 133335
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If the widget weight is statistically the same on both sets, the new materials will be used.  The weights of the 10 old process widgets and the 10 new process widgets are seen below.

Old	New
36.19	36.20
35.80	36.62
36.00	36.03
36.19	36.40
36.18	36.44
36.11	36.02
36.13	36.12
36.48	36.56
35.98	36.05
36.40	36.44
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1.	Define this situation as either a 2 sample test or a paired test.  Why?
2-sample test because the sets of data are independent.
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2.	Calculate a test statistic
I used a TI calculator 2-Sample TTest to get 
t = 0.4648
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3.	Calculate a p-value
p-value = 0.3241
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4.	Give an accurate statement as to whether or not the new widget material should be used.  Use a significance level of 0.05.
New widget material should be used.
Ho was : mu1-mu2=0
Ha was : Mu1 is not m2
Since p-value is greater than 5%, fail to reject Ho; mean weights are 
statistically the same.
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Cheers,
Stan H.