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Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The...

Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with the purchase arrangement unless it Can be conclusively demonstrated that the true lifetime is smaller than what is advertised. A random sample of 60 bulbs was selected. In the sample, the mean lifetime was 741.8 and the standard deviation was 19.2. What conclusion would be appropriate for the significance level 0.01?

A) State the Null and Alternative hypotheses.
B) Draw the picture to state the rejection region for a significance level of 0.01.

C) Find the test statistic value z.

D) Find the P-Value(observed significant level).

E) Find the critical value

F) Decide whether H_0 (null hypothesis ) should be rejected, and state his conclusion in the problem context.

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