MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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It takes an average of 11.2 minutes for blood to begin clotting after an injury.  An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 40 injured patients to immediately tell the truth about the injury and noticed that they averaged 11 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.02 minutes. What can be concluded at the the αα = 0.05 level of significance?

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:     

 H0:H0:  p or u,  <>=               

 H1:H1:  p or u,  <,>,=          

  1. The test statistic  z or t   is -0.419. Enter it here     (please show your answer to 3 decimal places.)
  2. The p-value is 0.6776274622. Enter it here            (Please show your answer to 4 decimal places.)
  3. The p-value is         αα
  4. Based on this, we should rject, accept, or fail to reject  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest that the population mean is not significantly different from 11.2 at αα = 0.05, 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 different from 11.2.
    • The data suggest the population mean is not significantly different from 11.2 at αα = 0.05, 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 11.2.
    • The data suggest the populaton mean is significantly different from 11.2 at αα = 0.05, 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 different from 11.2.
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