A melting point test of n = 10 samples of a binder used in manufacturing a rocke

Question

A melting point test of n = 10 samples of a binder used in manufacturing a rocket propellant resulted in x¯ = 154.2 F. Assume that the melting point is normally distributed with ? = 1.5 F. Test H0 : µ = 155 versus H1 : µ 6= 155 using ? = 0.01. a) Find the acceptance region. b) Find the P-value for this test. c) Make a conclusion.

A melting point test of n = 10 samples of a binder used in manufacturing a rocket propellant resulted in x = 154.2°F Assume that the melting point is normally distributed with 1.50F. Test Ho : = 155 versus H1 : 155 using = 0.01. llk@

Explanation / Answer

alpha = 0.01 alpha / 2 = 0.005 critical values : 2.57

we reject Ho if Z > 2.57 or Z < -2.57

Z = 154.2 - 155 / 1.5 / srqt 10

Z = -1.69

we fail to reject Ho because Z > -2.57

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