In a one-sample z-test for the population mean, what is the null hypothesis when the sample mean is 10 and the population standard deviation is 2?
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The null hypothesis in this case would be that the true population mean is equal to a specified value, μ0. In a one-sample z-test, this value is often taken to be the hypothesized value of the population mean. The null hypothesis in this case would be μ = 10. The sample mean of 10 and the population standard deviation of 2 are used to calculate a z-statistic and a p-value, which are then used to determine whether to reject or fail to reject the null hypothesis.
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