Question
If the sample mean $\bar{x}$ of a random sample from an $x$ distribution is relatively small, then the confidence interval for $\mu$ will be relatively short.
Step 1
A confidence interval is a range within which we expect the true population parameter (in this case, the population mean μ) to lie, with a certain level of confidence (e.g., 95%). Show more…
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A simple random sample of size n is drawn. The sample mean, x̄, is found to be 17.6, and the sample standard deviation, s, is found to be 4.6. (a) Construct a 95% confidence interval about mu if the sample size, n, is 35. Lower bound: _____ Upper bound: _____
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