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It takes an average of 13 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline

It takes an average of 13 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 54 injured patients to immediately tell the truth about the injury and noticed that they averaged 12.7 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.2 minutes. What can be concluded at the the = 0.01 level of significance?

H0: (? p ) Select an answer (> < = ) = __________

H1: (? p ) Select an answer ( > = <) = __________

  1. The test statistic (? t z) = ___________ (please show your answer to 3 decimal places.)
  2. The p-value = ________ (Please show your answer to 4 decimal places.)
  3. The p-value is (? >)
  4. Based on this, we should Select an answer (fail to reject, accept, reject,) the null hypothesis.
  5. Thus, the final conclusion is that ...1)

1) The data suggest the populaton mean is significantly less than 13 at = 0.01, so there is statistically significant evidence to conclude that the population mean time for blood to begin clotting after an injury if the patient is told the truth immediately is less than 13.

2) The data suggest that the population mean is not significantly less than 13 at = 0.01, so there is statistically insignificant evidence to conclude that the population mean time for blood to begin clotting after an injury if the patient is told the truth immediately is less than 13.

3) The data suggest the population mean is not significantly less than 13 at = 0.01, so there is statistically significant evidence to conclude that the population mean time for blood to begin clotting after an injury if the patient is told the truth immediately is equal to 13.

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