Australian Electric Bulb manufacturing company

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The Production Manager of an Australian Electric Bulb manufacturing company collected 6 boxes of Electric Bulbs with some faulty productions in each box. The table below shows the details of those boxes. Consider a sample size of 2 boxes and demonstrate the statement:

“The arithmetic mean of sample mean is an unbiased estimate of population mean”. Show all workings. (7 marks)

Boxes

Number of faulty bulbs

A

4

B

3

C

5

D

2

E

1

[Hints: Calculate Population Mean and different sample means. Then show the Mean of sample means = Population mean.]

b) State the Central Limit Theorem.

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