SOLUTION: Suppose that you wish to obtain a 95% conÖdence interval for a population mean. The population is normally distributed, the sample size is 20, and the population standard deviation
Algebra.Com
Question 1127402: Suppose that you wish to obtain a 95% conÖdence interval for a population mean. The population is normally distributed, the sample size is 20, and the population standard deviation is unknown. The correct procedure to use is the t-interval procedure.
(a) If you mistakenly use the z-interval procedure, will the resulting conÖdence interval be too wide or too narrow? Why?
(b) Will the true conÖdence level associated with this interval be greater than or less than 95%?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The t-value for a given df is always larger than the z value. Since the confidence interval is proportional to the z/t-value, it will be smaller than it should be if the smaller z-value is used.
The true confidence interval associated with the interval will be less than 95%. Because it is narrower than it should be, there is more likelihood the true value of the parameter will lie outside the CI.
RELATED QUESTIONS
Suppose that you wish to obtain a 95% confidence interval for a population mean. The... (answered by Theo)
Given a normally distributed population, find a 95% confidence interval for the... (answered by Fombitz)
In a random sample of 26 computers, the mean repair cost was $130 with a sample standard... (answered by stanbon)
if x bar equals 75, S equals 24, and n equals 36, and assuming that the population is... (answered by Fombitz)
5.7 Suppose that the population standard deviation (sigma) for a normally distributed... (answered by stanbon,ewatrrr)
A random sample of representatives from seven companies was interviewed in order to find... (answered by Boreal)
Hello, Iam having some trouble with my statistics homework, please I hope some one can... (answered by stanbon)
Samsung wants to know how long cell phone owners keep their phones before upgrading. A... (answered by Boreal)
Samsung wants to know how long cell phone owners keep their phones before upgrading. A... (answered by Boreal)