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A manufacturer claims that the average lifetime of his light bulbs is 3 years or 36 months. The standard deviation is 8 months. Fifty bulbs

A manufacturer claims that the average lifetime of his light bulbs is 3 years

or 36 months. The standard deviation is 8 months. Fifty bulbs are selected,

and the average lifetime is found to be 32 months. Should the

manufacture's statement be rejected at a=0.01?

Answer the following:

1. Parameter:__________________________________________________________

2. Null Hypothesis:____________________________________________________

3. Alternative Hypothesis:_____________________________________________

4.Level of Significance:__________________________________________________

5.What is the probability of committing type I error?

______________________________________________________________________

6.State the conclusion when H0 is rejected.

_____________________________________________________________________

7.State the conclusion when H0 is not rejected.

______________________________________________________________________

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