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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...

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: μ ≥ 16. Reject H0 if tcalc > -1.740b.H1: μ < 16. Reject H1 if tcalc < -1.740c.H0: μ ≥ 16. Reject H0 if tcalc < -1.740d.H1: μ < 16. Reject H1 if tcalc > -1.740   abcd

(b)If α = .010, we would have

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

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