ผลต่างระหว่างรุ่นของ "Week11 practice 2"

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We will work in pairs.
 
We will work in pairs.
  
'''Generators''':  We shall perform sampling from two random distribution the normal distribution and a uniform distribution over some range <math>[a,b]</math>.
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'''Generators''':  We shall perform sampling from two random distribution the normal distribution and a uniform distribution over some range <math>[a,b]</math>.  
  
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For a normal distribution, choose the mean <math>\mu</math> and its s.d. <math>\sigma</math>.  For a uniform distribution, choose ''a'' and ''b''.  (Don't forget to take note of the actual distribution that you use so that you can tell your statisticians the correct answers.)
  
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Generate 10 sets of data:
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* For a normal distribution (with different parameters), generate samples of size <math>n = 5, 10, 50, 100, 500</math>.  We shall call these sets of data set 1, set 2,..., and set 5.
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* For a uniform distribution (with different parameters), generate samples of size <math>n = 5, 10, 50, 100, 500</math>.  We shall call these sets of data set 6, set 7, ..., and set 10.
  
 
'''Statisticians''':  Take your friend's generated data, and for each set of data compute the sample mean <math>\bar{X}</math> and the sample variance <math>S^2</math>.
 
'''Statisticians''':  Take your friend's generated data, and for each set of data compute the sample mean <math>\bar{X}</math> and the sample variance <math>S^2</math>.

รุ่นแก้ไขเมื่อ 01:50, 6 พฤศจิกายน 2557

Sampling and statistics

We will work in pairs.

Generators: We shall perform sampling from two random distribution the normal distribution and a uniform distribution over some range .

For a normal distribution, choose the mean and its s.d. . For a uniform distribution, choose a and b. (Don't forget to take note of the actual distribution that you use so that you can tell your statisticians the correct answers.)

Generate 10 sets of data:

  • For a normal distribution (with different parameters), generate samples of size . We shall call these sets of data set 1, set 2,..., and set 5.
  • For a uniform distribution (with different parameters), generate samples of size . We shall call these sets of data set 6, set 7, ..., and set 10.

Statisticians: Take your friend's generated data, and for each set of data compute the sample mean and the sample variance .

Confidence interval, known

Confidence interval, unknown