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Problem: Suppose that we have sampled n observations from a normal distribution and found a 95% confidence interval for the population mean. If the sample size decreases and the confidence level increases from 95% to 99%, indicate whether the interval will definitely get wider, narrower, or will not be definite either way. Assume that the sample standard deviation remains constant with the new sample size.
Required:
Question: What is the resulting width of the interval?
Find a 98% confidence interval for the population variance in depth to water at this site.- Find a 98% confidence interval for the population standard deviation in depth to water at this site.
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