valdezavery6802 valdezavery6802
  • 04-11-2020
  • Mathematics
contestada

determine the sample sieze erequired to estimate teh mean score on a standardizes test within 4 [pints of the trrue mean with 98% confidence

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JeanaShupp
JeanaShupp JeanaShupp
  • 08-11-2020

Answer: Minimum sample size = 110

Step-by-step explanation:

Formula to find minimum sample size :

[tex]n=(\dfrac{z\times s}{E})^2[/tex] , where z = critical z-value for confidence level, s= sample standard deviation , E = margin of error

Given: E= 4 , s= 18

Critical z-value for 98% confidence = 2.327

So,  [tex]n=(\dfrac{2.327\times18}{4})^2[/tex]

[tex]=(\dfrac{41.886}{4})^2\\\\=(10.4715)^2=109.65231225\approx110[/tex]

Minimum sample size = 110

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