Answer to Question #183092 in Statistics and Probability for SANZIDA

Question

The quality control manager at a light bulb factory needs to extend the mean life of a large shipment of new light bulbs. The manager hopes the new light bulb will increase the mean life by more than 350 hours.

(a) State the null and alternative hypotheses.

(b) Determine the type of tailed test the manager should perform.

(c) Interpret the Type I error in this context.

Answer 1

a) the null and alternative hypotheses are;

H₀: The new light bulb will increase the mean life by 350 hours.($\mu =350)$

H₁:The new light bulb will increase the mean life by more than 350 hours.$(\mu>350)$

b)type of test

The manager should perform a one tailed test since the statement "more than" is directional.

c) Type 1 error is where the true mean life of bulbs is 350 hours and we reject and conclude that the mean increase is more than 350 hours.