Question 750223: I could use some help with this question. I've read the chapter a number of times and just do not understand it. Thank you
If x has a normal distribution with mean µ=15 and standard deviation ợ=3, describe the distribution of x values for sample size n, where n=4,n=16 and n=100. How do the x distributions compare for the various sample sizes? thanks
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Thank you
If x has a normal distribution with mean µ=15 and standard deviation ợ=3, describe the distribution of x values for sample size n, where n=4,n=16 and n=100.
For n = 4 use a t-distribution with mean = 15 and std = 3/sqrt(4) = 3/2
For n = 16 use a t-distribution with mean = 15 and std = 3/sqrt(16) = 3/4
For n = 100 use a z-distribution with mean = 15 and std = 3
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How do the x distributions compare for the various sample sizes?
I'll leave that to you now that you have the mean and std for
each distribution.
Cheers,
Stan H.
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