Assuming that the following sample of 10 numbers arise from a Normal distribution with mean μ and standard deviation σ = 6.4, obtain, from first principles, 95% and 99% confidence intervals for μ. 39.1 22.2 37.3 26.9 23.6 29.2 28.5 30.6 28.5 22.4 Evaluate a test statistic for the null hypothesis H0: μ = 30 against the two-sided alternative hypothesis H1: μ _= 30, and by plotting this on its reference distribution, identify and calculate the corresponding p-value associated with H0. What are your conclusions about H0?