Average Battery Life Narrative
The average life of a certain type and brand of battery is 75 weeks. The average life of each of nine randomly selected batteries is as follows: 74.5, 75.0, 72.3, 76.0, 75.2, 75.1, 75.3, 74.9, and 74.8. Assume the battery life distribution is normal. Do the sample data suggest the average life is smaller than 75 weeks?
-Refer to Average Battery Life Narrative. Compute the approximate p-value associated with the test statistic in question 54. Do the sample data support the alternative hypothesis at the = 0.05 level? Justify your conclusion.

Question

Average Battery Life Narrative
The average life of a certain type and brand of battery is 75 weeks. The average life of each of nine randomly selected batteries is as follows: 74.5, 75.0, 72.3, 76.0, 75.2, 75.1, 75.3, 74.9, and 74.8. Assume the battery life distribution is normal. Do the sample data suggest the average life is smaller than 75 weeks?
-Refer to Average Battery Life Narrative. Compute the approximate p-value associated with the test statistic in question 54. Do the sample data support the alternative hypothesis at the  = 0.05 level? Justify your conclusion.

Quizplus · Accepted Answer

The Answer is p-value = P( t < -0.62) = P( t > 0.62) > 0.10. No; the sample data do not support the alternative hypothesis at the 0.05 level, since p-value >

p-value = P( t < -0.62) = P( t > 0.62) > 0.10. No; the sample data do not support the alternative hypothesis at the 0.05 level, since p-value > and is not rejected.

and

is not rejected.