Confidence Interval - Interpretation A 90% confidence interval estimate for a population mean is constructed using a sample of size 20. The interpretation of this confidence interval estimate is that there is a 90% chance that this interval includes the true population mean. out of all the possible samples of size 20, there is a 90% chance that we selected a sample whose interval does include the true population mean. 90% of the next 100 samples of size 20 will include the true population mean. A and B
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Secondly, it does not mean that there is a 90% chance that the interval includes the true population mean. Once the interval is calculated, it either contains the population mean or it does not. Show more…
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90% confidence interval estimate of the population mean can be interpreted to mean that: if we repeatedly draw samples of the same size from the same population, 90% of the values of the sample means x̄ will result in a confidence interval that includes the population mean μ. there is a 90% probability that the population mean μ will lie between the lower confidence limit and the upper confidence limit. we are 90% confident that we have selected a sample whose range of values does not contain the population mean μ. We are 90% confident that 10% the values of the sample means x̄ will result in a confidence interval that includes the population mean μ.
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A random sample of size 20 is drawn from a normally distributed population with an unknown mean and standard deviation of 20. If the sample mean is 50 then what is the lower bound of the 95% confidence interval for the population mean? A random sample of size 20 is drawn from a normally distributed population with an unknown mean and standard deviation of 20. If the sample mean is 50 then what is the lower bound of the 99% confidence interval for the population mean? (Round off to ONE digit after the decimal point.)
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The standard deviation of a normally distributed population is equal to $10 .$ A sample size of 25 is selected, and its mean is found to be $95 .$ a. Find an $80 \%$ confidence interval for $\mu$ b. What would the $80 \%$ confidence interval be for a sample of size $100 ?$ c. What would be the $80 \%$ confidence interval for a sample of size 25 with a standard deviation of 5 (instead of 10 )?
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