July 2012
Intermediate to advanced
400 pages
9h 33m
English
Content preview from Statistical Inference: A Short Course
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Exercises
1. Suppose a population of size N = 5 consists of the X values: 2, 4, 6, 8, 10. If we take all possible samples of size n = 2 without replacement, how many samples will we obtain? Find the sampling distribution of the mean. Graph its probability mass function. Next, find the following:
a. μ and σ
b. 
and 
and
c. The standard error of the mean
d. Verify that 
2. Let the population variable X be N(50, 10). What is the probability that the mean of a sample of size n = 25 will differ from μ by less than four units? Resolve this problem for n = 50 and for n = 100. What can we conclude?
3. Let the population variable X be N(100, 10). What is the probability that the mean of a sample of size n = 25 will be within ± 5 units of μ? Resolve this problem for σ = 16. What can we conclude?
4. Suppose a population variable X consists of the values 1, 2, 3, 4, 5, 6. For samples of size n = 3 taken without replacement, determine the sampling distribution of the mean. Find 
and 
. What is the ...
and . What is the ...Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.