An experimenter is interested in the hypothesis testing problem H0 : µ = 373 vs µ 6= 373 where µ is the average breaking strength of a bundle of wool fibers. Suppose that a sample of n = 29 wool fiber...

An experimenter is interested in the hypothesis testing problem
H0 : µ = 373 vs µ 6= 373
where µ is the average breaking strength of a bundle of wool fibers. Suppose that a sample
of n = 29 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 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 ¯x = 312.7 and the sample standard deviation is s = 8.13.
(a) Is the null hypothesis accepted or rejected with α = 0.10? With α = 0.01?
(b) Write down an expression for the p-value and evaluate it using a computer package.