An experimenter is interested in the hypothesis testing problem H0: = 3.0 mm versus H :

Question:

An experimenter is interested in the hypothesis testing problem
H0: μ = 3.0 mm versus H : n ≠ 3.0 mm
where μ is the average thickness of a set of glass sheets. Suppose that a sample of n = 41 glass sheets is obtained and their thicknesses are measured.
(a) For what values of the t-statistic does the experimenter accept the null hypothesis with a size a = 0.10?
(b) For what values of the t-statistic does the experimenter reject the null hypothesis with a size a = 0.01?
Suppose that the sample mean is x = 3.04 mm and the sample standard deviation is s = 0.124 mm.
(c) Is the null hypothesis accepted or rejected with a =0.10? With a = 0.01?
(d) Write down an expression for the p-value and evaluate it using a computer package