Question 23 2 pts When we construct a confidence interval for the mean, which distribution is used to find the critical value? z-distribution skewed distribution Chi Square distribution t-distribution
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Step 1: When constructing a confidence interval for the mean, we use the t-distribution if the population standard deviation is unknown. Show more…
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When the population standard deviation is unknown and the sample size is less than 30, what table value should be used in computing a confidence interval for a mean? Chi-square
Madhur L.
We want to construct a confidence interval for a population with a mean and standard deviation denoted by μ and σ, respectively, using a small random sample taken from the population with size 30. Let (ā, s) be the sample mean and standard deviation. Then: ā is normally distributed with mean μ and standard deviation σ/∙n. ā is normally distributed with mean μ and standard deviation σ/∙n. The distribution of ā cannot be determined with the given information. ā is a t-distribution with mean μ and standard deviation σ/∙n. ā is a distribution with n - 1 degrees of freedom.
David N.
Suppose you are asked to construct a 99% confidence interval for an unknown population mean μ. The population standard deviation is unknown and the sample used to construct the interval has sample size n = 28. What critical value t* should be used in the formula?
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