An experimenter is interested in the hypothesis testing problem H0: < 0.065 versus HA: >

Question:

An experimenter is interested in the hypothesis testing problem
H0: μ < 0.065 versus HA: μ > 0.065
where μ is the average density of a chemical solution. Suppose that a sample of n = 61 bottles of the chemical solution is obtained and their densities are measured.
(a) For what values of the /-statistic does the experimenter accept the null hypothesis with a size α- = 0.10?
(b) For what values of the t -statistic does the experimenter reject the null hypothesis with a size α = 0.01?
Suppose that the sample mean is .v = 0.0768 and the sample standard deviation is s = 0.0231.
(c) Is the null hypothesis accepted or rejected with a =0.10? With α = 0.01?
(d) Write down an expression for the //-value and evaluate it using a computer package.