The average weight of a package of rolled oats is supposed to be at least 16 ounces. A sample of 18 packages shows a mean of 15.81 ounces with a standard deviation of .48 ounce.

(a)At the 5 percent level of significance, is the true mean smaller than the specification? Clearly state your hypotheses and decision rule.

a.H₀: 16. RejectH₀ift_calc> -1.740b.H₁:< 16. RejectH₁ift_calc< -1.740c.H₀: 16. RejectH₀ift_calc< -1.740d.H₁:< 16. RejectH₁ift_calc> -1.740abcd

(b)If = .010, we would have

a.failed to reject the null hypothesis.b.rejected the null hypothesis.ab