Question

The average weight of a package of rolled oats is supposed to be at least 15 ounces. A sample of 18 packages shows a mean of 14.82 ounces with a standard deviation of 0.50 ounce.

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

1. H₀: μ ≥ 15. Reject H₀ if t_calc > –1.740
2. H₁: μ < 15. Reject H₁ if t_calc < –1.740
3. H₀: μ ≥ 15. Reject H₀ if t_calc < –1.740
4. H₁: μ < 15. Reject H₁ if t_calc > –1.740

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(b) If α = .010, we would have

1. failed to reject the null hypothesis.
2. rejected the null hypothesis.

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

p-value =

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