Answer:
The  value is  [tex]Z_{\alpha } = 1.439[/tex]
Step-by-step explanation:
From the question we are told that
  The  confidence level is  C  =  85% Â
Generally the level of significance is mathematically represented as
     [tex]\alpha = (100 - 85 )\%[/tex]
    [tex]\alpha = 0.15[/tex]
Now from the normal distribution table  the critical value  of [tex]\alpha[/tex] is Â
   [tex]Z_{\alpha } = 1.439[/tex]