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StatisticsQ&A LibrarySuppose that you intend to find a 95% confidence interval for a population mean by applying the one-mean z-interval procedure to a sample of size 100.a. What would happen to the accuracy of the estimate if you used a sample of size 50 instead but kept the same confidence level of 0.95?b. What would happen to the accuracy of the estimate if you changed the confidence level to 0.90 but kept the same sample size of 100?Question

Asked Jan 24, 2020

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Suppose that you intend to find a 95% confidence interval for a population mean by applying the one-mean z-interval procedure to a sample of size 100.

a. What would happen to the accuracy of the estimate if you used a sample of size 50 instead but kept the same confidence level of 0.95?

b. What would happen to the accuracy of the estimate if you changed the confidence level to 0.90 but kept the same sample size of 100?

Step 1

The *z* value at 95% confidence level from the standard normal table is 1.96.

Let *σ* is the population standard deviation and *x̄* is the sample mean.

The 95% confidence interval with sample size (*n*) 100 is given as:

Step 2

a)

The 95% confidence interval with sample s...

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