The mean thickness of a plate girder used in a suspension bridge needs to be estimated using
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Question:
The mean thickness of a plate girder used in a suspension bridge needs to be estimated using ultrasonic testing. The mean thickness can be assumed to have a normal probability distribution with a mean (μ) and standard deviation (σ). The standard deviation (σ) is known to be 1.8 mm. The construction drawings indicate a mean thickness of 15 mm and a standard deviation of 2.0 mm. A sample of n = 20 was collected. The sample resulted in a mean of 16 mm. Determine:
(a) the posterior mean thickness,
(b) the posterior standard deviation,
(c) the 95% confidence intervals for thickness based on prior and posterior information.
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