A sample of 61 bottles of chemical solution is obtained and the solution densities are measured. The

Question:

A sample of 61 bottles of chemical solution is obtained and the solution densities are measured. The sample mean is x- = 0.768 and the sample standard deviation is s = 0.0231. Find the value of c for which μ ∈ (c, ∞) is a one-sided 99% t-interval for the average solution density μ. Is it plausible that the average solution density is less than 0.765?