Estimating test statistic for null hypothesis

Reference no: EM1318636

Q1) Suppose that following sample of 10 numbers arise from Normal distribution with mean μ and standard deviation σ = 6.3, obtain, from first principles, 95% and 99% confidence intervals for μ. 39.1 21.2 38.3 24.9 25.6 26.2 31.5 34.6 24.5 22.4

Estimate a test statistic for null hypothesis H0: μ = 30 against two-sided alternative hypothesis H1 : μ ≠ 30, and by plotting this on its reference distribution, identify and compute corresponding p-value associated with H0. What are your conclusions about H0?

Repeat all computations for confidence intervals for μ and p-value for H₀ for data in Q1 in the absence of any assumption on value of standard deviation σ. Do your conclusions about H₀ change?

Reference no: EM1318636

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