The lightbulbs in an industrial warehouse have been found to have a mean lifetime of 1030.0 hours, with a standard deviation of 90.0 hours. The warehouse manager has been approached by a representative of Extendabulb, a company that makes a device intended to increase bulb life. The manager is concerned that the average lifetime of Extendabulb-equipped bulbs might not be any greater than the 1030 hours historically experienced. In a subsequent test, the manager tests 40 bulbs equipped with the device and finds their mean life to be 1061.6 hours.

i. Identify the claim. Then state the null and alternative hypotheses.

ii. Identify the level of significance.

iii. Use the the Test Statistic to decide whether to reject the null hypothesis and show your work.

iv. Interpret the decision in the context of the original claim.