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Hypothesis testing for the mean of a Normal distribution

Choose the value of the mean for the null hypothesis, the form of the alternative hypothesis, the population standard deviation, and the sample size for the hypothesis test. Press the New sample button to select a new sample of size n from a Normal population, with the given standard deviation and a mean which may or may not be the same as the mean in the null hypothesis. The value of the test statistic is shown by the blue line, and the critical region is also shown on the graph. Click the checkbox to show the true mean of the population from which the sample was taken. Was the test result correct?