How do I use t-distribution to estimate the tα/2

[lilyungn]

Hi, I need help understanding how do I use t-distribution to estimate the tα/2 . Also what is meant when it asks "verify your result with empirical rule"

 

[EnumaElish]

Do you understand what α is?

 

[lilyungn]

no i dont, what is it?

 

[EnumaElish]

It is the level of probability to be used for testing. The probability that the result is due to chance.

Do you know what a probability distribution is?

 

[lilyungn]

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.

 

[EnumaElish]

That's all very good; how does your original question about the t distribution relate to the rest?

 

[lilyungn]

here is the question:

- 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.

 

[moonman239]

Questions like this belong in the Homework forum. Please post there next time. Hey, I don't make the rules around here.