A manufacturer ofbatterieswanted to test the longevity of one-time-use and rechargeable batteries. Employees who work inthe research and developmentdepartmentcreated10

different pairs of battery, making one of each type. Then they put the batteriesunder a performance test and measured the time it took for them to fail. Assume that the populations are normally distributed.

The manufacturer tests the paired data, where=0.05

, in order to evaluate theclaim that the true meandifference in times until failure between one-time-use and rechargeable batteriesis not equal to zero.

For this test:H

0

:

d

=0

,H

a

:

d

0

, which is a two-tailed test.

The test results are:t1.87

,p-value is approximately0.094

Which of the following are appropriate conclusions for this hypothesis test?Select all that apply.

Select all that apply:

• There is not sufficient evidence at the=0.05
• level of significance to conclude thatthe true meandifference in times until failure between one-time-use and rechargeable batteries is not equal to zero.
• There is sufficient evidence at the=0.05
• level of significance to conclude thatthe true meandifference in times until failure between one-time-use and rechargeable batteries is not equal to zero.
• Reject the null hypothesis that the true meandifference in times until failure between one-time-use and rechargeable batteries is equal to zero.
• Fail to reject the null hypothesis that the true meandifference in times until failure between one-time-use and rechargeable batteriesis equal to zero.