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A university administrator believes that the average amount of sleep obtained by...

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A university administrator believes that the average amount of sleep obtained by students is less than the recommended 7 hours per night. Previous largescale research has established that the population standard deviation is σ = 1.2 hours. To investigate this claim, the administrator randomly selects 36 students and records their average sleep duration per night. The sample has: Sample mean: xˉ=6.6, Population standard deviation: σ=1.2 Sample size: n=36. The administrator conducts a hypothesis test at a significance level of α = 0.05. Determine the p-value, p = ….

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