X is a random variable with a normal distribution: X~N(µ,σ2 ). The mean µ is unknown, and we wish to test the null hypothesis that H0: µ = 15 against its alternative hypothesis H1: µ ≠15. If we have a sample of data with sample mean 14 and standard deviation 1, what would the result of the test be?

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X is a random variable with a normal distribution: X~N(µ,σ2 ). The mean µ is unknown, and we wish to test the null hypothesis that H<sub>0</sub>: µ = 15 against its alternative hypothesis H<sub>1</sub>: µ ≠15. If we have a sample of data with sample mean 14 and standard deviation 1, what would the result of the test be?