Question

• A population of scores is normally distributed with a standard deviation equal to 6. State whether the standard error will increase, decrease, or remain unchanged if the value of the population standard deviation is changed to the following.
• 
  
• 
  
• 
  

• Part (a)

  σ = 10

  The standard error will increase.The standard error will decrease.    The standard error will remain unchanged.

• Part (b)

  σ =

  18

  3

  The standard error will increase.The standard error will decrease.    The standard error will remain unchanged.

• Part (c)

  σ = 3

  The standard error will increase.The standard error will decrease.    The standard error will remain unchanged.

• Part (d)

  σ =

  3

  15

  The standard error will increase.The standard error will decrease.    The standard error will remain unchanged.

• Part (e)

  σ = 6.5

  The standard error will increase.The standard error will decrease.    The standard error will remain unchanged.

• Part (f)

  σ = 0

  The standard error will increase.The standard error will decrease.    The standard error will remain unchanged.

Answer 1

for standard error =σ/√n

a)The standard error will increase ,as population standard deviation increases

b) The standard error will remain unchanged.

c) The standard error will decrease.

d) .The standard error will decrease.

e) The standard error will increase

f) The standard error will decrease