A construction company was approached by a manufacturer of rechargeable batteries for cordless tools. The manufacturer claimed that their batteries last longer than their competitors. The construction company knew that their "old" batteries lasted16 hours on average. So they borrowed 35 of the "new" batteries and timed how long they lasted. The construction company found a mean of 16.7 hours with a standard deviation of 2.4 hours. This resulted in a p-value of 0.047. Which of the following statements about the p-value is correct? O There is a 4.7% chance that the "new" battery average life is greater than 16 hours. O There is a 4.7% chance that the "new" battery average life is equal to 16 hours.

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A construction company was approached by a manufacturer of rechargeable batteries for cordless tools. The manufacturer claimed that their batteries last
longer than their competitors. The construction company knew that their "old" batteries lasted16 hours on average. So they borrowed 35 of the "new" batteries and
timed how long they lasted. The construction company found a mean of 16.7 hours with a standard deviation of 2.4 hours. This resulted in a p-value of 0.047. Which
of the following statements about the p-value is correct?
O There is a 4.7% chance that the "new" battery average life is greater than 16 hours.
There is a 4.7% chance that the "new" battery average life is equal to 16 hours.
There is a 4.7% chance that the "new" battery average life is less than 16 hours.
There is a 4.7% chance that the "new" battery average life is different than 16 hours.
There is a 4.7% chance that we would observe an average of 16.7 hours if the true average is greater than 16 hours.
There is a 4.7% chance that we would observe an average of 16.7 hours or greater if the true average is greater than 16 hours.
There is a 4.7% chance that we would observe an average of 16.7 hours or greater if the true average is 16 hours.
O There is a 4.7% chance that we would observe an average of 16.7 hours if the true average is 16 hours.
Transcribed Image Text:A construction company was approached by a manufacturer of rechargeable batteries for cordless tools. The manufacturer claimed that their batteries last longer than their competitors. The construction company knew that their "old" batteries lasted16 hours on average. So they borrowed 35 of the "new" batteries and timed how long they lasted. The construction company found a mean of 16.7 hours with a standard deviation of 2.4 hours. This resulted in a p-value of 0.047. Which of the following statements about the p-value is correct? O There is a 4.7% chance that the "new" battery average life is greater than 16 hours. There is a 4.7% chance that the "new" battery average life is equal to 16 hours. There is a 4.7% chance that the "new" battery average life is less than 16 hours. There is a 4.7% chance that the "new" battery average life is different than 16 hours. There is a 4.7% chance that we would observe an average of 16.7 hours if the true average is greater than 16 hours. There is a 4.7% chance that we would observe an average of 16.7 hours or greater if the true average is greater than 16 hours. There is a 4.7% chance that we would observe an average of 16.7 hours or greater if the true average is 16 hours. O There is a 4.7% chance that we would observe an average of 16.7 hours if the true average is 16 hours.
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