Hutchinson-Gilford progeria syndrome is a rare genetic condition that produces rapid aging in children. In individuals with this syndrome, cardiovascular disease is a common cause of death in the teenage years. A clinical study examined the effect of treatment with the drug lonafarnib on a number of physiological outcomes. The researchers measured the pulse wave velocity (PWV) of 18 children diagnosed with progeria and recruited worldwide. The study reports that the mean PWV of 18 children diagnosed with progeria is 12.44 m/s, and the standard deviation is 3.638 m/s. Assuming that PWV is normally distributed, is there significant evidence that the mean PWV of children with progeria is abnormally high (i.e. greater than 6.6 m/s)? Let �  (pronounced as "mu") be the true mean PWV of children with progeria.  What are the two competing hypotheses?       ["", "", "", ""]  What is the test statistic?       ["", "", "", ""]  What is the p value?       ["", "", "", ""]  What is the rejection region?       ["", "", "", ""]  What are the decision about H0 and conclusion?

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Hutchinson-Gilford progeria syndrome is a rare genetic condition that produces rapid aging in children. In individuals with this syndrome, cardiovascular disease is a common cause of death in the teenage years. A clinical study examined the effect of treatment with the drug lonafarnib on a number of physiological outcomes. The researchers measured the pulse wave velocity (PWV) of 18 children diagnosed with progeria and recruited worldwide.

The study reports that the mean PWV of 18 children diagnosed with progeria is 12.44 m/s, and the standard deviation is 3.638 m/s.

Assuming that PWV is normally distributed, is there significant evidence that the mean PWV of children with progeria is abnormally high (i.e. greater than 6.6 m/s)?

Let �  (pronounced as "mu") be the true mean PWV of children with progeria. 

  1. What are the two competing hypotheses?       ["", "", "", ""] 
  2. What is the test statistic?       ["", "", "", ""] 
  3. What is the p value?       ["", "", "", ""] 
  4. What is the rejection region?       ["", "", "", ""] 
  5. What are the decision about H0 and conclusion? 
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