A (1-α)100% confidence interval will be given by: lower bound: upper bound: __________________________________________________________________ is called the of (half the length of the confidence interval) ‘margin error’ __________________________________________________________________ Example: (3rd ed.) A random sample of size n is drawn from a population that is normally distributed. The sample mean is found to be 108 and the sample standard deviation is found to be 10. a. Construct a 96% confidence if the sample size is 25. interval for μ b. Construct a 96% confidence if the sample size is 10. interval for μ c. Construct a 90% confidence if the sample size is 25. interval for μ Compare the above answers, noting relationships of and the margin of error. n, α d. Could we have computed the above confidence intervals if the population was not normally distributed? __________________________________________________________________ Use Stats/Tests/TInterval __________________________________________________________________ Example: (p.450, #36ac) [Note text answer.]
A (1-α)100% confidence interval will be given by: lower bound: upper bound: __________________________________________________________________ is called the ‘margin of error’ (half the length of the confidence interval) __________________________________________________________________ Example: (3rd ed.) A random sample of size n is drawn from a population that is normally distributed. The sample mean is found to be 108 and the sample standard deviation is found to be 10. a. Construct a 96% confidence interval for μ if the sample size is 25. b. Construct a 96% confidence interval for μ if the sample size is 10. c. Construct a 90% confidence interval for μ if the sample size is 25. Compare the above answers, noting relationships of n, α and the margin of error. d. Could we have computed the above confidence intervals if the population was not normally distributed? __________________________________________________________________ Use Stats/Tests/TInterval __________________________________________________________________ Example: (p.450, #36ac) [Note text answer.]