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jessb4110
05.05.2020 •
Mathematics
For a random sample of 50 StatCrunchU students, we analyzed responses to the question, "How many credit hours are you taking this semester?" We test the hypothesis that students on average take more than 12 units. One sample T hypothesis test: μ : Mean of variable H 0: μ = 12 H a : μ > 12 Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value Hours 12.92 0.57487532 49 1.600347 0.058 Indicate if whether each interpretation of the P-value is valid or invalid. Interpretation 1: There is a 5.8% chance that StatCrunchU students take 12 units on average. Interpretation 2: If students take on average 12 units each semester at StatCrunchU, there is a 5.8% chance that a random sample of 50 students will take more than 12.92 units on average. Interpretation 3: There is a 5.8% chance that random samples of 50 StatCrunchU students will take more than 12 units if the sample mean is 12.92 units. Interpretation 4: If StatCrunchU students take on average 12 units, our sample had an error of 0.92 units. There is a 5.8% chance that random samples of 50 StatCrunchU students will have more error than observed in our sample.
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