[Steps Shown] Assuming that the following sample of 10 numbers arise from a Normal distribution with mean μ and standard deviation σ = 6.3, obtain, from first
Question: Assuming that the following sample of 10 numbers arise from a Normal distribution with mean μ and standard deviation σ = 6.3, obtain, from first principles, 95% and 99% confidence intervals for μ. 38.1 22.2 38.3 24.9 25.6 26.2 31.5 34.6 25.5 21.4 Evaluate a test statistic for the null hypothesis H0 : μ = 30 against the two-sided alternative hypothesis H1 : μ \(\ne \) 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?
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