Filling boxes with consistent amounts of its cereals is critical to General Mills's success

Filling boxes with consistent amounts of its cereals is critical to General Mills's success. The filling variance for boxes of Count Chocula cereal is designed to be 0.02 ounces² or less. A sample of 41 boxes of Count Chocula shows a sample standard deviation of 0.14 ounces. Use

α = 0.05 to determine whether the variance in the cereal box fillings is exceeding the design specification.

State the null and alternative hypotheses.

H₀: σ² > 0.02

H_a: σ² ≤ 0.02

H₀: σ² ≥ 0.02

H_a: σ² < 0.02

H₀: σ² < 0.02

H_a: σ² ≥ 0.02

H₀: σ² = 0.02

H_a: σ² ≠ 0.02

H₀: σ² ≤ 0.02

H_a: σ² > 0.02

Find the value of the test statistic.

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. The population variance does not appear to be exceeding the standard.

Do not reject H₀. The population variance does not appear to be exceeding the standard.   

Reject H₀. The population variance does appear to be exceeding the standard.

Do not reject H₀. The population variance does appear to be exceeding the standard.