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Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed? Explain.
Step 1
A confidence interval is a range of values, derived from a statistical procedure, that is likely to contain the value of an unknown population parameter. In the context of large samples, the confidence interval can be calculated using the sample mean and standard Show more…
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'Will Large- sample confidence interval be valid if the population from which the sample is taken not normally distributed? Explain:'
A sample of size n = 56 is drawn from a normal population whose standard deviation is σ = 6.2. The sample mean is x̄ = 49.02. (a) Construct a 99.9% confidence interval for μ. Round the answer to at least two decimal places. (b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Explain.
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