Question: A sugar packaging machine helps the manufacturer pack various quantities of sugar in leak-proof pouches. The machine is capable of functioning at an average speed

A sugar packaging machine helps the manufacturer pack various quantities of sugar in leak-proof pouches. The machine is capable of functioning at an average speed of 120 pouches per minute, with a standard deviation of 6 pouches. However, there is some concern within the company about the proper functioning of the machine and it is stopped for maintenance.

After maintenance, 25 samples are collected for the duration of 1 2 1 2

1 2 one minute and the sample standard deviation is found to be 4.3 pouches. Find a 95% confidence interval of the variance in the speed of the machine. Does it appear from the range of the confidence interval that maintenance enhanced the speed as far as variability is concerned? Assume normality in the distribution of the speed.

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