An experimenter is interested in the hypothesis testing problem H0: = 430.0 versus HA :

Question:

An experimenter is interested in the hypothesis testing problem
H0: μ = 430.0 versus HA : μ ≠ 430.0
where p is the average breaking strength of a bundle of wool fibers. Suppose that a sample of n = 20 wool fiber bundles is obtained and their breaking strengths 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 nidi hypothesis with a size α = 0.01?
Suppose that the sample mean is x- = 436.5 and the sample standard deviation is s = 11.90.
(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