Respuesta :
Answer:
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_B \leq \mu_A[/tex] or [tex]\mu_d \leq 0[/tex]
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_B > \mu_A[/tex] or [tex]\mu_d[/tex] > 0
Step-by-step explanation:
We are given that investigators in a clinical study were interested in the impact of lonafarnib, an enzyme inhibitor, on progeria.
They recorded PWV, a measure of vascular stiffness, in an SRS of 60 children diagnosed with progeria. All 60 children received a daily dose of lonafarnib for two years, then PWV was assessed once more for each child.
The above situation suggests that this is situation of Paired data {Dependent limits} hypothesis because as we can see that the 60 children who received a daily dose of lonafarnib for two years and then the children who were assesses one more time are the same; there are no two independent samples.
This means that both situations are taken from the same sample; there are not any independent samples.
So, the correct hypothesis that would be used here is;
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_B \leq \mu_A[/tex] or [tex]\mu_d \leq 0[/tex] {means that lonafarnib increases PWV or remains same, on average, in children with progeria}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_B > \mu_A[/tex] or [tex]\mu_d[/tex] > 0 {means that lonafarnib lowers PWV, on average, in children with progeria}
Here, [tex]\mu_A[/tex] = the mean PWV level after treatment with lonafarnib
[tex]\mu_B[/tex] = the mean PWV level before treatment with lonafarnib
[tex]\mu_d[/tex] = the mean difference in PWV level calculated as Before - After
