Question: A random sample of 100 similar iron bars manufactured at a factory had a mean diameter of 6.43 mm and a variance of 0.032 mm2 . Find 95% confidence interval and 99% confidence interval. Which interval is smaller? Steps to derive 1 Sample size, n X ‾ 2 = 0.032 and the standard deviation of the population, σ = 0.1792 Case 1: For a 95% confidence interval, α = 0.05, The z α 2 z ∝ 3 The confidence interval of the population mean μ is:X ‾ z ∝ σ n X ‾ z ∝ σ n 4 6.43 - 1.96(0 . 1 7 9 1 0 0 0 . 1 7 9 1 0 0 5 6.40 < μ < 6.476 Case 2: For a 99% confidence interval, α = 0.01, The z α 2 z ∝ 7 6.43 - 2.58(0 . 1 7 9 1 0 0 0 . 1 7 9 1 0 0 8 6.38 < μ < 6.489 From case 1 and case 2, we can observe that 95% has smaller confidence interval than 99%.Hence the right answer is Option A Click Here To Go Back The area of a square is 352 cm2. Find the dimensions of a rectangle of equal area whose le.. In a three digit number, the tens digit is double the product of the hundreds and units di.. 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