An experimenter is interested in the hypothesis testing problem H0: = 1.025 kg versus HA:

Question:

An experimenter is interested in the hypothesis testing problem
H0: μ = 1.025 kg versus HA: μ ≠ 1.025 kg
where μ is the average weight of a I-kilogram sugar packet. Suppose that a sample of n = 16 sugar packets is obtained and their weights are measured.
(a) For what values of the t-statistic does the experimenter accept the null hypothesis with a size or α = 0.10?
(b) For what values of the /-statistic does the experimenter reject the null hypothesis with a size α = 0.01?
Suppose that the sample mean is X = 1.053 kg and the sample standard deviation is s = 0.058 kg.
(c) Is the null hypothesis accepted or rejected with α = 0.10? With α = 0.01?
(d) Write down an expression for the p-value and evaluate it using a computer package