Answer:
The sample size is [tex]n = 2[/tex]
Step-by-step explanation:
From the question we are told that
  The margin of error is  E =4.266
  The standard deviation is  [tex]\sigma = 2.539[/tex]
From the question we are told the confidence level is  99% , hence the level of significance is  Â
   [tex]\alpha = (100 - 99 ) \%[/tex]
=> Â [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is Â
  [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]
Generally the sample size is mathematically represented as Â
  [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]
=> Â [tex]n = [\frac{2.58 Â * Â 2.539 Â }{4.266} ] ^2[/tex]
=> Â [tex]n = 2[/tex]
