MEDICO Corporation makes several portable electronic devices used in hospitals. Some of these products require rechargeable batteries that MEDICO purchases from various suppliers. Although they try to find them at the best price, they must also consider the quality. In one case, two suppliers were being considered, and batteries were selected from various purchase dates. A test was run on the time the batteries would last in a certain device before it had to be recharged. The results are given in the table below.

Sample Statistics for Survey of Batteries

Supplier. Number of Batteries Used in Test. Mean Life. Standard Deviation

Power+. 45 24 hours 5.1 hours

Electro 61 22 hours. 2.6 hours

a) Set up the null and alternative hypotheses to see if the data supports the conclusion that the rechargeable batteries sold byPower+last longer.

b) Check the conditions.

c) Calculate the test statistic.

d) Find the p-value.

e) Using = 0.05, state your conclusion in the context of the problem.