The alkaline batteries of a toy car were designed to last 30
hours, on average. However lots of customers complained that the
batteries were lasting less than 30 hours. You decided to randomly
sample 38 of the batteries. The mean of the sample was 29.3 hours,
and the sample standard deviation was 2.8 hours. Is there
sufficient evidence to support the claim that the mean battery life
is less than 30 hours? Perform a hypothesis at the 5% significance
level.