Answer:
a
 [tex]\frac{\alpha }{2} = 2.5 \%[/tex]
b
 [tex]N = 25[/tex]
Step-by-step explanation:
From the question we are told that
  The number of bootstrap samples is  n =  1000
From the question we are told the confidence level is  95% , hence the level of significance is  Â
   [tex]\alpha = (100 - 95 ) \%[/tex]
=> Â [tex]\alpha = 0.05[/tex]
Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as
   [tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%[/tex]
=> Â Â [tex]\frac{\alpha }{2} = 2.5 \%[/tex]
Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is
   [tex]N = 1000 * \frac{\alpha }{2}[/tex]
=> Â [tex]N = 1000 * 0.025[/tex]
=> Â [tex]N = 25[/tex]
  Â
