A random sample of size n = 178 is taken from a population of size N = 3,718 with mean μ = −80 and variance σ 2 = 190. [You may find it useful to reference the z table .] a-1. Is it necessary to apply...

A random sample of size
n
= 178 is taken from a population of size
N
= 3,718 with mean
μ
= −80 and variance
σ
²
= 190.
[You may find it useful to reference the
z table.]

a-1.Is it necessary to apply the finite population correction factor?

I really need this one explained. How do you find out if it is less than 5% or more than 5%

• 
  
  
  

  
  

  Yes

  
  

  
  
  
  


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  No

  
  

  
  
  
  

a-2.Calculate the expected value and the standard error of the sample mean.
(Negative values should be indicated by a minus sign. Round "standard error" to 2

decimal places.) Which equation do you use and why?

expected value

standard error

b.What is the probability that the sample mean is between −82 and −78?
(Round “z” value to 2 decimal places, and final answer to 4 decimal places.)