Question

Which of the following statements are true about a 95% confidence interval for a certain population mean? About 5 out of 100 intervals constructed like this will miss the actual population mean. The population standard deviation must be provided to construct such an interval. If the sample size is less than 30, then the population does not follow a normal distribution. The probability that this interval contains the actual population mean is 95%. The margin of error becomes smaller if the same sample is used to construct a 90% confidence interval for the same population mean.

          Which of the following statements are true about a 95% confidence interval for a certain population mean?
About 5 out of 100 intervals constructed like this will miss the actual population mean.
The population standard deviation must be provided to construct such an interval.
If the sample size is less than 30, then the population does not follow a normal distribution.
The probability that this interval contains the actual population mean is 95%.
The margin of error becomes smaller if the same sample is used to construct a 90% confidence interval for the same population mean.

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Which of the following statements are true about a 95% confidence interval for a certain population mean?
About 5 out of 100 intervals constructed like this will miss the actual population mean.
The population standard deviation must be provided to construct such an interval.
If the sample size is less than 30, then the population does not follow a normal distribution.
The probability that this interval contains the actual population mean is 95%.
The margin of error becomes smaller if the same sample is used to construct a 90% confidence interval for the same population mean.

Added by Anthony M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Madhur L

08/01/2023

Step 1

About 5 out of 100 intervals constructed like this will miss the actual population mean - True. This is because a confidence interval is an estimate, and there is always a chance that the estimate is not exactly equal to the true population parameter. Show more…

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Which of the following statements are true about a 95% confidence interval for a certain population mean? About 5 out of 100 intervals constructed like this will miss the actual population mean. The population standard deviation must be provided to construct such an interval. If the sample size is less than 30, then the population does not follow a normal distribution. The probability that this interval contains the actual population mean is 95%. The margin of error becomes smaller if the same sample is used to construct a 90% confidence interval for the same population.

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