Question: 95% confidence interval of a population mean worked out on a sample size of 10 is, 0.26 < μ < 0.38. What is the likely 95% confidence interval of the mean of the same population worked out on a sample size of 20? Steps to derive 1 Confidence intervals of 0.56 < μ < 0.72 and 0.14 < μ < 0.18 are too unrealistic.2 When the sample size is increased, the population mean could be determined more accurately.3 So, the confidence interval with a larger sample size would be narrow compared to the interval with a smaller sample size.4 So, the correct answer is 0.28 < μ < 0.36.
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