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A manufacturer of biscuits produces a large variety of different flavours and types. One particular type, the Cream Shor

Posted: Sun Oct 03, 2021 3:35 pm
by answerhappygod
A manufacturer of biscuits produces a large variety of
different flavours and types. One particular type, the
Cream Shorty’s are produced to be 9cm long. If they are
too long they don’t fit in the packaging in which they are sold and
need to be discarded. To monitor the
process the manufacturer randomly selects 12
biscuits every 10 minutes and measure the average length of
the biscuits in the sample. If the average length
falls in either the top or the bottom 5% of lengths they need
to adjust the process.
If the biscuits are supposed to be manufactured according
to a normal distribution with a mean of 9cm and a standard
deviation of 0.2cm what is the upper and lower limit within
which the sample mean must lie in order for the process to be
allowed to continue?