In the past, the mean running time for a certain brand of laptop has been 9.5 hours. The manufacturer has introduced a change in the battery hardware and wants to perform a hypothesis test to...

 In the past, the mean running time for a certain brand of laptop has been 9.5 hours. The manufacturer has introduced a change in the battery hardware and wants to perform a hypothesis test to determine whether the mean running time has increased as a result.

a)  Write the hypotheses for this test.

b)  Explain the result of a Type 1 Error.

c)  Explain the result of a Type 2 Error.