Question 6 Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation are unknown. The first sample has 25 data values. The second sample has 64 data values. Then we construct 95% confidence interval for each sample to estimate the population mean. Which confidence interval will have greater precision (smaller width) for estimating the population mean? The confidence interval based on the sample of 64 data values will be more precise. Both confidence intervals will have the same precision. The confidence interval based on the sample of 25 data values will be more precise.
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We have two random samples from the same population, with 25 data values in the first sample and 64 data values in the second sample. Show more…
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Two different samples will be taken from the same population of test scores where the population mean and standard deviation are unknown. The first sample will have 25 data values, and the second sample will have 64 data values. A 95% confidence interval will be constructed for each sample to estimate the population mean. Which confidence interval would you expect to have greater precision (a smaller width) for estimating the population mean?
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