In a certain factory there are two independent processes manufacturing the same item. The average weight in a sample of 250 items produced from one process is found to be 120 ozs. with a standard deviation of 12 ozs. while the corresponding figures in a sample of 400 items from the other process are 124 and 14. Obtain the standard error of difference between the two sample means. Is this difference significant ? Also find the 99% confidence limits for the difference in the average weights of items produced by the two processes respectively.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Question:
In a certain factory there are two independent
processes manufacturing the same item. The
average weight in a sample of 250 items
produced from one process is found to be 120
ozs. with a standard deviation of 12 ozs. while
the corresponding figures in a sample of 400
items from the other process are 124 and 14.
Obtain the standard error of difference between
the two sample means. Is this difference
significant ? Also find the 99% confidence limits
for the difference in the average weights of
items produced by the two processes
respectively.
Transcribed Image Text:Question: In a certain factory there are two independent processes manufacturing the same item. The average weight in a sample of 250 items produced from one process is found to be 120 ozs. with a standard deviation of 12 ozs. while the corresponding figures in a sample of 400 items from the other process are 124 and 14. Obtain the standard error of difference between the two sample means. Is this difference significant ? Also find the 99% confidence limits for the difference in the average weights of items produced by the two processes respectively.
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