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. 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.

SupplierNumber of Batteries Used in TestSample Mean LifeSample Standard Deviation

Power+3225 hours5.2 hours

Electro4023 hours2.7 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.