Provide an appropriate response.

A manufacturer claims that the mean lifetime of it's lithium batteries is 1500 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1490 hours with a standard deviation of 80 hours. Test the manufacturer's claim by constructing 95% confidence interval.

a) Circle the appropriate null and alternative hypotheses.

H0: =1500 >1500 < 1500

H1: 1500 >1500 <1500

b) Construct the confidence interval. Round to the nearest tenth.

c) "Reject H0" or "Do not reject H0"

d) State the conclusion.