Hi, I wanted to get a quick look over for my program see if there were any flaws.. I think it's complete. specifications and program in link thanks..

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HrMmz 2016년 11월 28일

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https://kr.mathworks.com/matlabcentral/answers/314259-hi-i-wanted-to-get-a-quick-look-over-for-my-program-see-if-there-were-any-flaws-i-think-it-s-comp

댓글: HrMmz 2016년 12월 1일

I think the only thing i'm missing is the mean of the means (not very difficult but I am feeling lazy after working on this all day)

and the histogram displaying correctly at the moment I'm not sure it would display with the randomly generated values I think it should be simple to input I'm just new to MATLAB.. Thank you :)

Specifications for program below:

1. Generate 100 samples of size 225 random numbers from U(-3,6). For each of these 100 samples calculate the mean.

a) Find the simulated probability that the mean is between 1 and 2.

b) Find the mean of the means.

c) Find the standard deviation of the means.

d) Draw the histogram of the means.

nsamples=100;
samplenum = 1:nsamples;
  %setting number of samples and the sample amt. i.e. here there 
  %is only 1 sample of number 100
n = 225;
  
  %sample size 225
a = 1;
  %setting first mean value of 1
b = 2;
  %setting second mean value of 2
theProbability = sum(nsamples > a & nsamples < b) / n;
  %finding the probability that the mean is between a and b
a + (b-a)*rand()
  %gives uniform random values in the interval [a,b]
data = a + (b-a)*rand(1, nsamples);
  %setting data values
cMean = mean(data)
  %calculating mean of data
cStdDev = std(data)
  %calculating standard deviation of data
z = normrnd(-3,6,n,1);
  %setting distribution of random numbers U(-3,6) (n)=(U) here
hist(z,-9.75:.5:9.75);
  %setting histogram values for x-axis (labeled here as z)
xlim([-10 10]);
  %setting x-axis coordinates
title('Generating 100 Samples of Size 225 Simulated U(-3,6) Random Numbers Histogram Question 1 Part d)');
  
  %title of histogram
  
xlabel('Z');
  %labeling x-axis
ylabel('Frequency');
  %labeling y-axis

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Answer 1

Alexandra Harkai 2016년 11월 29일

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https://kr.mathworks.com/matlabcentral/answers/314259-hi-i-wanted-to-get-a-quick-look-over-for-my-program-see-if-there-were-any-flaws-i-think-it-s-comp#answer_245159

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The random sample comes from a normal instead of a uniform sample (assuming U stands for uniform). Also all the data you generated is in the (a,b) interval which will give you 1 for question a).

nsamples=100;  % number of samples
n = 225;  % sample size 225
a = 1;
b = 2;
data = -3+9*rand(nsamples, n);  % random 100x225 data sample from a uniform (0,1) distribution
cMean = mean(data, 2);  % mean of each sample
answer_a = sum(cMean > a & cMean < b)/nsamples;  % how many data means are between a and b
answer_b = mean(cMean);
answer_c = std(cMean, 1);
hist(cMean);
title('Generating 100 Samples of Size 225 Simulated U(-3,6) Random Numbers Histogram Question 1 Part d)');  %title of histogram  
xlabel('Z');  %labeling x-axis
ylabel('Frequency');  %labeling y-axis