standard deviation in the weight of a bowling ball

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Bill Kime’s bowling ball factory makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows.
DAY AVERAGE (LB)
DAY AVERAGE (LB)
1 16.3 2 15.9 3 15.8 4 15.5 5 16.3 6 16.2 7 16.0 8 16.1 9 15.9 10 16.2 11 15.9 12 15.9
13 16.3 14 15.9 15 16.3 16 16.2 17 16.1 18 15.9 19 16.2 20 15.9 21 15.9 22 16.0 23 15.5 24 15.8

Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?
If three standard deviations are used in the chart, how do these values change? Why?
c) Plot the monthly sales data
The monthly sales for Telco Batteries Inc. were as follows:
MONTH                SALES
JANUARY               20
FEBRUARY             21
MARCH                 15
APRIL                     14
MAY                       13
JUNE                      16
JULY                      17
AUGUST               18
SEPTEMBER         20
OCTOBER             20
NOVEMBER         21
DECEMBER          23
1)Plot the monthly sales data
2)Forecast January sales using each of the following;
1. naïve method
2. A 3-month moving average
3. A 6-months weighted average using .1,.1,.2,.2, and .3, with the heaviest weights applied to the    most recent months.
4. Exponential smoothing using an a = .3 and a September forecast of 18.
5. A trend projection.

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