SOLUTION: Consider the following random sample observations on stabilized viscosity of asphalt specimens: 2074, 2101, 2029, 1822, 2072 Suppose that for a particular application, it is

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Question 1186171: Consider the following random sample observations on stabilized viscosity of asphalt specimens:
2074, 2101, 2029, 1822, 2072
Suppose that for a particular application, it is required that true average viscosity be 2000. Is there evidence this requirement is not satisfied (i.e. evidence that true average viscosity is different from 2000)? From previous findings we know that viscosity is normally distributed with a standard deviation of σ=90.
Calculate the p-value. Round your answer to three decimal places.
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
mean is 2019.6 (poise)
Ho: mean is 2000
Ha: mean is not 2000
alpha unknown, will use 0.05 p{reject Ho|Ho true}
test statistic a z, reject when |z| > 1.96
z=(2019.6-2000)/90/sqrt(5)
=0.4870
probability double z of 0.4870 which is 0.3131
fail to reject Ho
insufficient evidence to suggest the viscosity is different from 2000
p-value double above or 0.626