A company has developed a new deluxe AAA battery that is supposed to last longer than its regular AAA battery. However, these new batteries are more expensive to produce, so the company would like to be convinced that that they really do last longer. Based on years of experience, the company knows that its regular AAA batteries last for 30 hours of continuous use, on average. The company selects an SRS of 15 new batteries and uses them continuously until they are completely drained. The sample mean lifetime is = 33.9 hours. A significance test is performed using the hypo:hesis Ho: H = 30 hours HA: H > 30 hours where u is the true mean lifetime of the new deluxe AAA batteries. The resulting p-value is 0.0729. 3. Interpret the p-value. 4. State your conclusion given a = 0.10 5. State your conclusion given a = 0.05

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A company has developed a new deluxe AAA battery that is supposed to last longer than its regular
AAA battery. However, these new batteries are more expensive to produce, so the company would
like to be convinced that that they really do last longer. Based on years of experience, the company
knows that its regular AAA batteries last for 30 hours of continuous use, on average. The company
selects an SRS of 15 new batteries and uses them continuously until they are completely drained.
The sample mean lifetime is ī = 33.9 hours. A significance test is performed using the hypothesis
Ho: µ = 30 hours
HA: µ > 30 hours
where u is the true mean lifetime of the new deluxe AAA batteries. The resulting p-value is 0.0729.
3. Interpret the p-value.
4. State your conclusion given a = 0.10
5. State your conclusion given a = 0.05
Transcribed Image Text:A company has developed a new deluxe AAA battery that is supposed to last longer than its regular AAA battery. However, these new batteries are more expensive to produce, so the company would like to be convinced that that they really do last longer. Based on years of experience, the company knows that its regular AAA batteries last for 30 hours of continuous use, on average. The company selects an SRS of 15 new batteries and uses them continuously until they are completely drained. The sample mean lifetime is ī = 33.9 hours. A significance test is performed using the hypothesis Ho: µ = 30 hours HA: µ > 30 hours where u is the true mean lifetime of the new deluxe AAA batteries. The resulting p-value is 0.0729. 3. Interpret the p-value. 4. State your conclusion given a = 0.10 5. State your conclusion given a = 0.05
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