### Mentioning hypotheses and decision rule

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##### Reference no: EM1321680

Q1) Average weight of package of rolled oats is assumed to be at least 18 ounces. Sample of 18 packages illustrates a mean of 17.78 ounces with standard deviation of 0.41 ounces.

Requirement 1:

At 5% level of significance, is true mean smaller than specification? Clearly mention your hypotheses and decision rule.

H0: μ ≥ 18, reject H0 if t < -1.74

H1: μ < 18, reject H1 if t > -1.74

H0: μ ≥ 18, reject H0 if t > -1.74

H1: μ < 18, reject H1 if t < -1.74

Requirement 2:

Determine the p-value.

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