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

Answer 1

Answer:

Step-by-step explanation:

Hello!

The given hypotheses are to test id the population variance of a population.

H₀: σ²≤500

H₁: σ²≥500

The statistic to use to test the population variance is a Chi-Square:

χ²= $\frac{(n-1)S^2}{σ^2}$~χ²ₙ₋₁

Data:

n= 14

S= 20

σ²= 500

χ²= $\frac{13*400}{500}$= 10.4

None of the given choises is the right answer.

I hope it helps!