This question asks to construct a 95% one-sided, upperconfidence interval for th

Question

This question asks to construct a 95% one-sided, upperconfidence interval for the standard deviation of thesemeasurements. Also to check the assumption of normality of the data andcomment on the assumptions for the confidence interval. Observations: {3.481, 3.448, 3.485 3.475, 3.472, 3.477, 3.472, 3.464, 3.472,3.470, 3.470, 3.470, 3.477, 3.473, 3.474} This question asks to construct a 95% one-sided, upperconfidence interval for the standard deviation of thesemeasurements. Also to check the assumption of normality of the data andcomment on the assumptions for the confidence interval. Observations: {3.481, 3.448, 3.485 3.475, 3.472, 3.477, 3.472, 3.464, 3.472,3.470, 3.470, 3.470, 3.477, 3.473, 3.474}

Explanation / Answer

sample mean, x = 3.472 standard deviation, s = 0.00831 at 95% confidence for a one tail distribution, z =1.65 hence upper confidence interval = x + zs = 3.472 +(1.65*0.00831) = 3.49

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