Which of the following is the width of the confidence interval for the population mean? Group of answer choices (Upper confidence limit – Lower confidence limit) / 2. 2 (Upper confidence limit – Lower confidence limit). Upper confidence limit – Lower confidence limit. Upper confidence limit + Lower confidence limit.
Question
Which of the following is the width of the confidence interval for the population mean? Group of answer choices
(Upper confidence limit – Lower confidence limit) / 2.
2 (Upper confidence limit – Lower confidence limit).
Upper confidence limit – Lower confidence limit.
Upper confidence limit + Lower confidence limit.
Solution
The width of the confidence interval for the population mean is given by the formula:
Upper confidence limit – Lower confidence limit.
This is because the confidence interval is defined as the range in which we are confident that the population mean lies, and this range is from the lower confidence limit to the upper confidence limit. Therefore, the width of this interval is the difference between these two limits.
Similar Questions
Which of the following is the width of the confidence interval for the population mean?
Examine the following statements and then select the one statement that is correct.Group of answer choicesA wider confidence interval means less confidence in the estimate (all other things being equal).A narrower confidence interval is always better than a wider confidence interval.For a 95% confidence interval for a population mean, there is a 95% chance that the confidence interval includes the sample mean.The width of a confidence interval is affected by both the sampling error and the required level of confidence.
A student was asked to find a 95% confidence interval for widget width using data from a random sample of size n = 27. Which of the following is a correct interpretation of the interval 13.1 < μ < 25.9?Check all that are correct.There is a 95% chance that the mean of the population is between 13.1 and 25.9.With 95% confidence, the mean width of all widgets is between 13.1 and 25.9.With 95% confidence, the mean width of a randomly selected widget will be between 13.1 and 25.9.There is a 95% chance that the mean of a sample of 27 widgets will be between 13.1 and 25.9.The mean width of all widgets is between 13.1 and 25.9, 95% of the time. We know this is true because the mean of our sample is between 13.1 and 25.9.
For confidence interval estimates, which of the following statements is FALSEGroup of answer choicesincreasing the sample size decreases the width of the confidence intervalusing a sample standard deviation instead of the population standard deviation always results in a wider confidence intervalthe width of the confidence interval increases as we demand more confidencea 95% confidence interval for the mean (with population standard deviation known) will be narrower than a 99% confidence interval
1. What do you call the difference between the upper limit and the lower limit of a confidence interval?*A. confidence levelB. margin of errorC. confidence intervalD. length of confidence interval
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