Using MATLAB to Solve Statistical Problems by Yuri A. W. Shardt

Author:Yuri A. W. Shardt
Language: eng
Format: epub
ISBN: 9783031402999
Publisher: Springer Nature Switzerland

3.2.1 Testing a Mean Against a Theoretical Value

Consider the following data

that are claimed to come from a normal distribution with a mean of 1. Set up and compute the required parameters for the hypothesis test that the two means are the same, compute the p-value, and compute the 95% confidence interval. Show that the results obtained are the same in all three cases. Set α equal to 0.05.

Before we can even solve the question, we will need to obtain the mean (mu) and standard deviation (sig) of the data set in MATLAB. This gives

>> x = [2.16, 2.71, 1.09, 0.40, 1.47, 1.13, 1.97];

>> mu=mean(x) >> mu = 1.5614

>> sig=std(x) >> sig = 0.7757

>> n=length(x) >> n = 7

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