In a test of the effectiveness of a new battery design, 16 battery-powered music boxes are randomly provided with either the old design or the new version. Hours of playing time before battery failure were as follows: New battery type (hrs) 3.3 6.4 3.9 5.4 5.1 4.6 4.9 7.2 Old battery type (hrs) 4.2 2.9 4.5 4.9 5.0 5.1 3.2 4.0 Assuming normal populations with equal variances. The null and alternative hypotheses are used to determine whether the new battery could be better than the old design. At 1% level of significance, do reject or fail to reject H0? Reject H0 because t- statistic lies between -2.625 and 2.625 Reject H0 because z-statistic lies bewteen -2.625 and 2.625 Fail to reject H0 because t-statistic is greater than 2.625 Fail to reject H0 because t-statistic is less than 2.625
Question 16
In a test of the effectiveness of a new battery design, 16 battery-powered music boxes are randomly provided with either the old design or the new version. Hours of playing time before battery failure were as follows:
|
New battery type (hrs) |
3.3 |
6.4 |
3.9 |
5.4 |
5.1 |
4.6 |
4.9 |
7.2 |
|
Old battery type (hrs) |
4.2 |
2.9 |
4.5 |
4.9 |
5.0 |
5.1 |
3.2 |
4.0 |
Assuming normal populations with equal variances. The null and alternative hypotheses are used to determine whether the new battery could be better than the old design. At 1% level of significance, do reject or fail to reject H0?
|
Reject H0 because t- statistic lies between -2.625 and 2.625 |
||
|
Reject H0 because z-statistic lies bewteen -2.625 and 2.625 |
||
|
Fail to reject H0 because t-statistic is greater than 2.625 |
||
|
Fail to reject H0 because t-statistic is less than 2.625 |
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