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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 a 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 this sample, the mean lifetime was 741.8 and the standard deviation was 19.2. What conclusion would be appropriate for a significance level of 0.01?

a) State the Null and Alternative hypothesis.

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 this conclusion in the problem context.

Math   Statistics-And-Probability   
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