SOLUTION: ) The net weights of a sample of bottles filled by a machine manufactured by Edne, and the net weights of a sample filled by a similar manufactured by Orno, Inc., are (in grams):

Question 353625: ) The net weights of a sample of bottles filled by a machine manufactured by Edne, and the net weights of a sample filled by a similar manufactured by Orno, Inc., are (in grams):
Edne: 5,8,7,6,9 and 7
Orno: 8,10,7, 11,9, 12, 14 and 9
Test the claim at the 0.05 level of significance that the mean weight of the bottles filled by the Orno machine is greater than the mean weight of the bottles filled by the Edne machine.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The net weights of a sample of bottles filled by a machine manufactured by Edne, and the net weights of a sample filled by a similar manufactured by Orno, Inc., are (in grams):
Edne: 5,8,7,6,9 and 7::::x-bar = 7
Orno: 8,10,7, 11,9, 12, 14 and 9 :::: x-bar = 10
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Test the claim at the 0.05 level of significance that the mean weight of the bottles filled by the Orno machine is greater than the mean weight of the bottles filled by the Edne machine.
----
Ho: u(or)-u(ed) = 0
Ha: u(ed)-u(or) < 0
----
I ran a 2-Sample Ttest and got the following:
test statistic: t = -3.0364
p-value = 0.0053
----
Conclusion: Since the p-value is less than 1%, reject Ho at the
1% level of significance.
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Cheers,
Stan H.
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