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In: Statistics and Probability

The average weight of a package of rolled oats is supposed to be at least 18...

The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of 18 packages shows a mean of 17.78 ounces with a standard deviation of 0.41 ounce. (a) At the 5 percent level of significance, is the true mean smaller than the specification? Clearly state your hypotheses and decision rule.(Multiple Choice)

a. H0: μ ≥ 18. Reject H0 if tcalc > –1.74

b. H1: μ < 18. Reject H1 if tcalc < –1.74

c. H0: μ ≥ 18. Reject H0 if tcalc < –1.74

d. H1: μ < 18. Reject H1 if tcalc > –1.74

(b) If α = .01, we would have:(Multiple Choice)

a. failed to reject the null hypothesis.

b. rejected the null hypothesis.

(c) Use Excel to find the p-value. (Round your answer to 4 decimal places.)

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