The managers for a vegetable canning facility claim the standard deviation for the ounces per can on the new automated line is less than for the older manual line.Given this,the correct null and alternative hypotheses for performing the statistical test are:
H₀ : σ₁ = σ₂
H_a : σ₁ ≠ σ₂

Question

Quizplus · Accepted Answer

The correct null and alternative hypotheses for performing the statistical test are:

Null hypothesis: the standard deviation for the ounces per can on the new automated line is equal to or greater than for the older manual line. 
Alternative hypothesis: the standard deviation for the ounces per can on the new automated line is less than for the older manual line.

Therefore, the correct hypotheses are:

H0 : σnew ≥ σold
Ha : σnew < σold

Option A presents the null and alternative hypotheses for testing equality of the standard deviations, which is not the claim made by the managers.

The Managers for a Vegetable Canning Facility Claim the Standard