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.