Tests performed on piles for compressive strength yielded the following results: 2354, 2546, 2459, 2002, 2398 psi.
Q1 (5pt): What are the sample distribution parameters? (sample size, sample mean, sample standard deviation)?
Approach: 2pt
Computation: 2pt
Numerical result: 1pt
Q2 (1pt): What distribution should be used?
Q3 (1pt): What critical value should be used?
Q4 (5pt): Determine the 95% two-sided confidence interval of the mean compressive strength.
Q5 (5pt): Assuming the standard deviation of the population is known with σ = s, what is the confidence level associated with a confidence interval of ±150 psi? What is the confidence level associated with a confidence interval of 150 psi total?
Q6 (5pt): Assume that the minimum compressive strength is 2400 psi. It can be verified if the sample has a mean strength within the confidence interval. Perform a one-sided confidence interval estimation at the 5% significance level. Assume that only the sample standard deviation is known. Is the assumption verified?