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. |
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 | ||||||||
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(b) |
If α = .01, we would have |
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a. | failed to reject the null hypothesis. | ||||
b. | rejected the null hypothesis. | ||||
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(c) | Use Excel to find the p-value. (Round your answer to 4 decimal places.) |
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