For the following cases, specify which probability distribution to use in a hypothesis test: (a) H 0: μ = 27, H1: μ ≠ 27, x = 33, ˆσ = 4, n = 25. (b) H 0: μ = 98.6, H1: μ > 98.6, x = 99.1, σ = 1.5, n = 50. (c) H0: μ = 3.5, H1: μ < 3.5, x = 2.8, ˆσ = 0.6, n = 18. (d) H 0: μ = 382, H1: μ ≠ 382, x = 363, σ = 68, n = 12. (e) H 0: μ = 57, H1: μ > 57, x = 65, ˆ σ = 12, n = 42.
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