Basically i'm working on a problem that asks that part of the question. I have solved for the population mean, and have different samples with 3 data in them. I calculated the x-bar of those samples with the standard dev and have gotten their confidence intervals.
here is the question: I found the mean, standard dev, samples, their mean and standard dev. I'm stuck at the t-distribution part...I found the confidence interval but someone told me im supposed to use t distribution to do that, so I guess I have to do them over?
Let A, B, C, D, and E are 6 units of a population. The measurements associated with A, B, C. D, E units are 76, 77, 78, 81, and 82, respectively.
- Find the population mean and its standard deviation
- List all possible samples of size 3 from those 5 units
- From each sample, compute the mean, standard deviation, and 95% confidence interval. Use t-distribution to estimate the tα/2 because we have a small size.
- How many intervals contain population mean? Can you verify your result with empirical rule? Do they agree?