Posted by **sunil** on Friday, October 29, 2010 at 7:07am.

QUESTION-

machines are used to pack sugar into packets supposedly

containing 1.20kg each.on testing a large number of packets over a

long perodof time ,it was found that the mean weight of the packets

was 1.24kg and the standard deviation was 0.04kg. a particular machine

is selected to check the total weight of each of the 25 packets filled

consecutively by the machine .calculate the limits within which the

weight of the packets should lie assuming that the machine is not been

classified as faulty.

- statistics/probability -
**niku**, Tuesday, November 16, 2010 at 10:15am
Mean weight of the packets = 1.24 kg

Standard Deviation, SD = 0.04kg

Variance = 0.04^2 = 0.0016

Standard Error, SE = 0.04/sqrt (25) • = 0.04/5 = 0.008

Considering 99.7% confidence level the means will lie between (1.2+3SE) and (1.2-3SE)

Upper limit is 1.224kg

Lower Limit is 1.176kg

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