N = 14 s = 20 H0: σ2 ≤ 500 Ha: σ2 ≥ 500 The test statistic for this problem equals _____. a. 12.68 b. 13.33 c. 13.66 d. .63

1 answer
Question:

n = 14 s = 20 H0: σ2 ≤ 500 Ha: σ2 ≥ 500 The test statistic for this problem equals _____.
a. 12.68
b. 13.33
c. 13.66
d. .63

Answers

Answer:Step-by-step explanation:Hello!The given hypotheses are to test id the population variance of a population.H₀: σ²≤500H₁: σ²≥500The statistic to use to test the population variance is a Chi-Square:χ²= [tex]\frac{(n-1)S^2}{σ^2}[/tex]~χ²ₙ₋₁Data:n= 14S= 20σ²= 500χ²= [tex]\frac{13*400}{500}[/tex]= 10.4None of the given choises is the right answer.I hope it helps!

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