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![1. Chocolate bars are manufactured on two production lines "A"
and "B" at a rate of 1000 per hour in a 24-hour, 7 day per week
operation. The product must achieve a total minimum weight of
95 g and the weights measured from two sample batches "A"
and "B" each of 10 bars were as follows:
A (g)
B(g)
97.04
97.10
97.19
97.66
96.75
97.60
97.13
97.05
97.76
97.63
97.48
97.32
97.64
97.85
97.75
97.15
97.65
96.50
96.40
97.45
Determine:
(a) The mean value and standard deviation of each sample
and explain why 95g cannot be achieved exactly
(b) The probability that the weight of bars can be controlled to
98.0g with 99 % confidence. State the preferred line and
explain your answer. [use statistical table provided]
(c) Using the mean weight, state which production line will be
more efficient and quantify the amount of chocolate [kg]
saved by using this route over a one-week period.
[Show all working to support your answers]
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