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A sample of n=33 observations has a sample mean of 2.879. If an assumed known population...

A sample of n=33 observations has a sample mean of 2.879. If an assumed known population standard deviation σ = 0.325 is used, calculate the p-value for the testing of hypotheses.

(a) H0 : µ = 3.0 vs. Ha : µ is not = to 3.0

(b) H0 : µ ≥ 3.5 vs. Ha : µ < 3.5

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