Question

Compute the standardized test​ statistic, chi squaredχ2​, to test the claim sigma squaredσ2greater than>3.83.8 if n equals=​18, s squareds2equals=5.45.4​, and alpha equals 0.01 .α=0.01. Round the test statistic to the nearest thousandth.

Answer 1

Ho :   σ² =   3.83
Ha :   σ² >   3.83
      
Level of Significance ,    α =    0.01
sample Variance,   s² =    5.45
Sample Size ,   n =    18
      
Chi-Square Statistic   X² = (n-1)s²/σ² =    24.19060052
      
degree of freedom,   DF=n-1 =    17
      

p-Value   =   0.114348

as p value > alpha

Do not reject the null hypothesis      

THANKS

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